%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ020-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 02:31:52 PM UTC 2026
% Result : Unsatisfiable 6.38s 1.39s
% Output : Proof 6.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 17 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f6,axiom,
( knight(X)
| ~ a_truth(statement_by(X))
| ~ person(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_make_true_statements) ).
fof(f6_nnf,plain,
! [X] :
( knight(X)
| ~ a_truth(statement_by(X))
| ~ person(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X] :
( knight(X)
| ~ a_truth(statement_by(X))
| ~ person(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( knight(X0)
| ~ a_truth(statement_by(X0))
| ~ person(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(f10,hypothesis,
person(husband),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',husband) ).
fof(f10_nnf,plain,
person(husband),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
person(husband),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(p27,plain,
( knight(husband)
| ~ a_truth(statement_by(husband)) ),
inference(resolution,[status(thm)],[c6,c10]) ).
cnf(f16,hypothesis,
( knight(wife)
| a_truth(statement_by(husband)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knight_wife_or_truthful_husband) ).
fof(f16_nnf,plain,
( knight(wife)
| a_truth(statement_by(husband)) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
( knight(wife)
| a_truth(statement_by(husband)) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( knight(wife)
| a_truth(statement_by(husband)) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p29,plain,
( knight(wife)
| knight(husband) ),
inference(resolution,[status(thm)],[p27,c16]) ).
cnf(f17,hypothesis,
( a_truth(statement_by(husband))
| ~ knight(wife) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knight_wife_means_truthful_husband) ).
fof(f17_nnf,plain,
( a_truth(statement_by(husband))
| ~ knight(wife) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
( a_truth(statement_by(husband))
| ~ knight(wife) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( a_truth(statement_by(husband))
| ~ knight(wife) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p33,plain,
( a_truth(statement_by(husband))
| knight(husband) ),
inference(resolution,[status(thm)],[p29,c17]) ).
cnf(p35,plain,
( knight(husband)
| knight(husband) ),
inference(resolution,[status(thm)],[p33,p27]) ).
cnf(p36,plain,
knight(husband),
inference(factoring,[status(thm)],[p35]) ).
cnf(f18,negated_conjecture,
~ knight(husband),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_knight_husband) ).
fof(f18_nnf,plain,
~ knight(husband),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
~ knight(husband),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
~ knight(husband),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p37,plain,
$false,
inference(resolution,[status(thm)],[p36,c18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ020-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.35 % Computer : n002.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Thu Sep 24 06:42:49 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.38/1.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.38/1.39 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------