%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 02:31:47 PM UTC 2026
% Result : Unsatisfiable 4.17s 1.13s
% Output : Proof 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 16 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 85 ( 45 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f10,hypothesis,
( hates(butler,X)
| richer(X,agatha)
| ~ lives(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',butler_hates_poor) ).
fof(f10_nnf,plain,
! [X] :
( hates(butler,X)
| richer(X,agatha)
| ~ lives(X) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X] :
( hates(butler,X)
| richer(X,agatha)
| ~ lives(X) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( hates(butler,X0)
| richer(X0,agatha)
| ~ lives(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(f1,hypothesis,
lives(butler),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',butler) ).
fof(f1_nnf,plain,
lives(butler),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
lives(butler),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(p22,plain,
( hates(butler,butler)
| richer(butler,agatha) ),
inference(resolution,[status(thm)],[c10,c1]) ).
cnf(f9,hypothesis,
( hates(butler,X)
| ~ hates(agatha,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',same_hates) ).
fof(f9_nnf,plain,
! [X] :
( hates(butler,X)
| ~ hates(agatha,X) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X] :
( hates(butler,X)
| ~ hates(agatha,X) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( hates(butler,X0)
| ~ hates(agatha,X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(f6,hypothesis,
hates(agatha,agatha),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agatha_hates_agatha) ).
fof(f6_nnf,plain,
hates(agatha,agatha),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
hates(agatha,agatha),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(p18,plain,
hates(butler,agatha),
inference(resolution,[status(thm)],[c9,c6]) ).
cnf(f5,hypothesis,
( ~ hates(X,charles)
| ~ hates(X,butler)
| ~ hates(X,agatha) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_one_hates_everyone) ).
fof(f5_nnf,plain,
! [X] :
( ~ hates(X,charles)
| ~ hates(X,butler)
| ~ hates(X,agatha) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( ~ hates(X,charles)
| ~ hates(X,butler)
| ~ hates(X,agatha) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ hates(X0,charles)
| ~ hates(X0,butler)
| ~ hates(X0,agatha) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p21,plain,
( ~ hates(butler,charles)
| ~ hates(butler,butler) ),
inference(resolution,[status(thm)],[p18,c5]) ).
cnf(p23,plain,
( ~ hates(butler,charles)
| richer(butler,agatha) ),
inference(resolution,[status(thm)],[p22,p21]) ).
cnf(f7,hypothesis,
hates(agatha,charles),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agatha_hates_charles) ).
fof(f7_nnf,plain,
hates(agatha,charles),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
hates(agatha,charles),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(p19,plain,
hates(butler,charles),
inference(resolution,[status(thm)],[c9,c7]) ).
cnf(p24,plain,
richer(butler,agatha),
inference(resolution,[status(thm)],[p23,p19]) ).
cnf(f8,hypothesis,
( hates(X,Y)
| ~ killed(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',killer_hates_victim) ).
fof(f8_nnf,plain,
! [X,Y] :
( hates(X,Y)
| ~ killed(X,Y) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X,Y] :
( hates(X,Y)
| ~ killed(X,Y) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( hates(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(f11,negated_conjecture,
( killed(charles,agatha)
| killed(butler,agatha) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_neither_charles_nor_butler_did_it) ).
fof(f11_nnf,plain,
( killed(charles,agatha)
| killed(butler,agatha) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( killed(charles,agatha)
| killed(butler,agatha) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( killed(charles,agatha)
| killed(butler,agatha) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p16,plain,
( killed(butler,agatha)
| hates(charles,agatha) ),
inference(resolution,[status(thm)],[c8,c11]) ).
cnf(f4,hypothesis,
( ~ hates(charles,X)
| ~ hates(agatha,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_hates) ).
fof(f4_nnf,plain,
! [X] :
( ~ hates(charles,X)
| ~ hates(agatha,X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( ~ hates(charles,X)
| ~ hates(agatha,X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ hates(charles,X0)
| ~ hates(agatha,X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p13,plain,
~ hates(charles,agatha),
inference(resolution,[status(thm)],[c4,c6]) ).
cnf(p17,plain,
killed(butler,agatha),
inference(resolution,[status(thm)],[p16,p13]) ).
cnf(f3,hypothesis,
( ~ richer(X,Y)
| ~ killed(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',poorer_killer) ).
fof(f3_nnf,plain,
! [X,Y] :
( ~ richer(X,Y)
| ~ killed(X,Y) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y] :
( ~ richer(X,Y)
| ~ killed(X,Y) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p20,plain,
~ richer(butler,agatha),
inference(resolution,[status(thm)],[p17,c3]) ).
cnf(p25,plain,
$false,
inference(resolution,[status(thm)],[p24,p20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/0.40 % Computer : n015.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Thu Sep 24 06:38:40 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.17/1.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.17/1.13 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------