%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ035-7 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 02:31:56 PM UTC 2026
% Result : Unsatisfiable 3.89s 11.15s
% Output : Proof 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 6 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 116 ( 49 ~; 67 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 74 ( 26 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f6,axiom,
( reply(P,Q,no)
| reply(P,Q,yes) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yes_or_no) ).
fof(f6_nnf,plain,
! [P,Q] :
( reply(P,Q,no)
| reply(P,Q,yes) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [P,Q] :
( reply(P,Q,no)
| reply(P,Q,yes) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( reply(X0,X1,no)
| reply(X0,X1,yes) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(f13,negated_conjecture,
( ~ truth(isa(other,Y))
| ~ truth(isa(asked,X))
| ~ reply(asked,or(isa(asked,knight),isa(other,knight)),R) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_answer) ).
fof(f13_nnf,plain,
! [R,X,Y] :
( ~ truth(isa(other,Y))
| ~ truth(isa(asked,X))
| ~ reply(asked,or(isa(asked,knight),isa(other,knight)),R) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [R,X,Y] :
( ~ truth(isa(other,Y))
| ~ truth(isa(asked,X))
| ~ reply(asked,or(isa(asked,knight),isa(other,knight)),R) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ~ truth(isa(other,X2))
| ~ truth(isa(asked,X1))
| ~ reply(asked,or(isa(asked,knight),isa(other,knight)),X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p26,plain,
( ~ truth(isa(other,X1))
| ~ truth(isa(asked,X0))
| reply(asked,or(isa(asked,knight),isa(other,knight)),yes) ),
inference(resolution,[status(thm)],[c6,c13]) ).
cnf(f0,axiom,
( truth(isa(P,knave))
| truth(isa(P,knight)) ),
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)) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [P] :
( truth(isa(P,knave))
| truth(isa(P,knight)) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( truth(isa(X0,knave))
| truth(isa(X0,knight)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p27,plain,
( truth(isa(asked,knight))
| ~ truth(isa(other,X0))
| reply(asked,or(isa(asked,knight),isa(other,knight)),yes) ),
inference(resolution,[status(thm)],[p26,c0]) ).
cnf(p28,plain,
( truth(isa(other,knight))
| truth(isa(asked,knight))
| reply(asked,or(isa(asked,knight),isa(other,knight)),yes) ),
inference(resolution,[status(thm)],[p27,c0]) ).
cnf(p29,plain,
( ~ truth(isa(other,X1))
| ~ truth(isa(asked,X0))
| truth(isa(other,knight))
| truth(isa(asked,knight)) ),
inference(resolution,[status(thm)],[p28,c13]) ).
cnf(p30,plain,
( truth(isa(asked,knight))
| ~ truth(isa(other,X0))
| truth(isa(other,knight))
| truth(isa(asked,knight)) ),
inference(resolution,[status(thm)],[p29,c0]) ).
cnf(p31,plain,
( ~ truth(isa(other,X0))
| truth(isa(other,knight))
| truth(isa(asked,knight)) ),
inference(factoring,[status(thm)],[p30]) ).
cnf(p32,plain,
( truth(isa(other,knight))
| truth(isa(other,knight))
| truth(isa(asked,knight)) ),
inference(resolution,[status(thm)],[p31,c0]) ).
cnf(p33,plain,
( truth(isa(other,knight))
| truth(isa(asked,knight)) ),
inference(factoring,[status(thm)],[p32]) ).
cnf(p42,plain,
( truth(isa(asked,knight))
| reply(asked,or(isa(asked,knight),isa(other,knight)),yes)
| truth(isa(asked,knight)) ),
inference(resolution,[status(thm)],[p33,p27]) ).
cnf(p247,plain,
( reply(asked,or(isa(asked,knight),isa(other,knight)),yes)
| truth(isa(asked,knight)) ),
inference(factoring,[status(thm)],[p42]) ).
cnf(f12,axiom,
( ~ truth(B)
| truth(or(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or3) ).
fof(f12_nnf,plain,
! [A,B] :
( ~ truth(B)
| truth(or(A,B)) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [A,B] :
( ~ truth(B)
| truth(or(A,B)) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( ~ truth(X1)
| truth(or(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p40,plain,
( truth(or(X0,isa(other,knight)))
| truth(isa(asked,knight)) ),
inference(resolution,[status(thm)],[p33,c12]) ).
cnf(f3,axiom,
( ~ reply(P,Q,yes)
| truth(isa(P,knight))
| ~ truth(Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_make_true_statements2) ).
fof(f3_nnf,plain,
! [Q,P] :
( ~ reply(P,Q,yes)
| truth(isa(P,knight))
| ~ truth(Q) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [Q,P] :
( ~ reply(P,Q,yes)
| truth(isa(P,knight))
| ~ truth(Q) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ reply(X1,X0,yes)
| truth(isa(X1,knight))
| ~ truth(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p59,plain,
( ~ reply(X0,or(X1,isa(other,knight)),yes)
| truth(isa(X0,knight))
| truth(isa(asked,knight)) ),
inference(resolution,[status(thm)],[p40,c3]) ).
cnf(p242,plain,
( ~ reply(asked,or(X0,isa(other,knight)),yes)
| truth(isa(asked,knight)) ),
inference(factoring,[status(thm)],[p59]) ).
cnf(p251,plain,
( truth(isa(asked,knight))
| truth(isa(asked,knight)) ),
inference(resolution,[status(thm)],[p247,p242]) ).
cnf(p252,plain,
truth(isa(asked,knight)),
inference(factoring,[status(thm)],[p251]) ).
cnf(f11,axiom,
( ~ truth(A)
| truth(or(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or2) ).
fof(f11_nnf,plain,
! [A,B] :
( ~ truth(A)
| truth(or(A,B)) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [A,B] :
( ~ truth(A)
| truth(or(A,B)) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( ~ truth(X0)
| truth(or(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p254,plain,
truth(or(isa(asked,knight),X0)),
inference(resolution,[status(thm)],[p252,c11]) ).
cnf(f4,axiom,
( reply(P,Q,yes)
| ~ truth(isa(P,knight))
| ~ truth(Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_make_true_statements3) ).
fof(f4_nnf,plain,
! [Q,P] :
( reply(P,Q,yes)
| ~ truth(isa(P,knight))
| ~ truth(Q) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [Q,P] :
( reply(P,Q,yes)
| ~ truth(isa(P,knight))
| ~ truth(Q) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( reply(X1,X0,yes)
| ~ truth(isa(X1,knight))
| ~ truth(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p266,plain,
( reply(X0,or(isa(asked,knight),X1),yes)
| ~ truth(isa(X0,knight)) ),
inference(resolution,[status(thm)],[p254,c4]) ).
cnf(p439,plain,
reply(asked,or(isa(asked,knight),X0),yes),
inference(resolution,[status(thm)],[p266,p252]) ).
cnf(p445,plain,
( ~ truth(isa(other,X1))
| ~ truth(isa(asked,X0)) ),
inference(resolution,[status(thm)],[p439,c13]) ).
cnf(p447,plain,
~ truth(isa(other,X0)),
inference(resolution,[status(thm)],[p445,p252]) ).
cnf(p448,plain,
truth(isa(other,knight)),
inference(resolution,[status(thm)],[p447,c0]) ).
cnf(p464,plain,
$false,
inference(resolution,[status(thm)],[p448,p447]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ035-7 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/10.39 % Computer : n006.cluster.edu
% 0.09/10.39 % Model : x86_64 x86_64
% 0.09/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.39 % Memory : 8046.5625MB
% 0.09/10.39 % OS : Linux 6.8.0-71-generic
% 0.09/10.39 % CPULimit : 300
% 0.09/10.39 % WCLimit : 300
% 0.09/10.39 % DateTime : Thu Sep 24 06:44:38 UTC 2026
% 0.15/10.40 % CPUTime :
% 0.15/10.40 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.89/11.15 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.89/11.15 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------