%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ024-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n026.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 5.31s 1.21s
% Output : Proof 5.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 48 ( 17 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f13,axiom,
( a_truth(truthteller(Z))
| a_truth(truthteller(Y))
| a_truth(truthteller(X))
| ~ people(X,Y,Z)
| a_truth(all_are_liars) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_truthtellers) ).
fof(f13_nnf,plain,
! [X,Y,Z] :
( a_truth(truthteller(Z))
| a_truth(truthteller(Y))
| a_truth(truthteller(X))
| ~ people(X,Y,Z)
| a_truth(all_are_liars) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X,Y,Z] :
( a_truth(truthteller(Z))
| a_truth(truthteller(Y))
| a_truth(truthteller(X))
| ~ people(X,Y,Z)
| a_truth(all_are_liars) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( a_truth(truthteller(X2))
| a_truth(truthteller(X1))
| a_truth(truthteller(X0))
| ~ people(X0,X1,X2)
| a_truth(all_are_liars) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(f14,hypothesis,
people(b,c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_c_a_people) ).
fof(f14_nnf,plain,
people(b,c,a),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c14,plain,
people(b,c,a),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(p46,plain,
( a_truth(truthteller(a))
| a_truth(truthteller(c))
| a_truth(truthteller(b))
| a_truth(all_are_liars) ),
inference(resolution,[status(thm)],[c13,c14]) ).
cnf(f19,negated_conjecture,
~ a_truth(truthteller(Truthteller)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_truthteller) ).
fof(f19_nnf,plain,
! [Truthteller] : ~ a_truth(truthteller(Truthteller)),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [Truthteller] : ~ a_truth(truthteller(Truthteller)),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
~ a_truth(truthteller(X0)),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p51,plain,
( a_truth(truthteller(c))
| a_truth(truthteller(b))
| a_truth(all_are_liars) ),
inference(resolution,[status(thm)],[p46,c19]) ).
cnf(p52,plain,
( a_truth(truthteller(b))
| a_truth(all_are_liars) ),
inference(resolution,[status(thm)],[p51,c19]) ).
cnf(p53,plain,
a_truth(all_are_liars),
inference(resolution,[status(thm)],[p52,c19]) ).
cnf(f4,axiom,
( a_truth(truthteller(Truthteller))
| ~ a_truth(says(Truthteller,Statement))
| ~ a_truth(Statement) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truths_are_told_by_truthtellers) ).
fof(f4_nnf,plain,
! [Statement,Truthteller] :
( a_truth(truthteller(Truthteller))
| ~ a_truth(says(Truthteller,Statement))
| ~ a_truth(Statement) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [Statement,Truthteller] :
( a_truth(truthteller(Truthteller))
| ~ a_truth(says(Truthteller,Statement))
| ~ a_truth(Statement) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( a_truth(truthteller(X1))
| ~ a_truth(says(X1,X0))
| ~ a_truth(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p54,plain,
( a_truth(truthteller(X0))
| ~ a_truth(says(X0,all_are_liars)) ),
inference(resolution,[status(thm)],[p53,c4]) ).
cnf(f17,hypothesis,
a_truth(says(a,all_are_liars)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_says_all_are_liars) ).
fof(f17_nnf,plain,
a_truth(says(a,all_are_liars)),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
a_truth(says(a,all_are_liars)),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(p55,plain,
a_truth(truthteller(a)),
inference(resolution,[status(thm)],[p54,c17]) ).
cnf(p57,plain,
$false,
inference(resolution,[status(thm)],[p55,c19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ024-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 06:43:53 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.31/1.21 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.31/1.21 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------