%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ001+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n007.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 : Theorem 3.42s 0.85s
% Output : Proof 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 61 ( 22 unt; 0 def)
% Number of atoms : 112 ( 37 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 91 ( 40 ~; 41 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 46 ( 0 sgn 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] :
( lives(X)
=> ( X = charles
| X = butler
| X = agatha ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_3) ).
fof(f4_nnf,plain,
! [X] :
( X = charles
| X = butler
| X = agatha
| ~ lives(X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( X = charles
| X = butler
| X = agatha
| ~ lives(X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c5,plain,
( X0 = charles
| X0 = butler
| X0 = agatha
| ~ lives(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
fof(f0,axiom,
? [X] :
( killed(X,agatha)
& lives(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_1) ).
fof(f0_nnf,plain,
? [X] :
( killed(X,agatha)
& lives(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( killed(sk0,agatha)
& lives(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c0,plain,
lives(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p20,plain,
( sk0 = charles
| sk0 = butler
| sk0 = agatha ),
inference(resolution,[status(thm)],[c5,c0]) ).
fof(f5,axiom,
! [X,Y] :
( killed(X,Y)
=> hates(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_4) ).
fof(f5_nnf,plain,
! [X,Y] :
( hates(X,Y)
| ~ killed(X,Y) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y] :
( hates(X,Y)
| ~ killed(X,Y) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c6,plain,
( hates(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(c1,plain,
killed(sk0,agatha),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p21,plain,
hates(sk0,agatha),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(p43,plain,
( hates(charles,agatha)
| sk0 = butler
| sk0 = agatha ),
inference(superposition,[status(thm)],[p20,p21]) ).
fof(f8,axiom,
! [X] :
( X != butler
=> hates(agatha,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_7) ).
fof(f8_nnf,plain,
! [X] :
( hates(agatha,X)
| X = butler ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X] :
( hates(agatha,X)
| X = butler ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c9,plain,
( hates(agatha,X0)
| X0 = butler ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
fof(f7,axiom,
! [X] :
( hates(agatha,X)
=> ~ hates(charles,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_6) ).
fof(f7_nnf,plain,
! [X] :
( ~ hates(charles,X)
| ~ hates(agatha,X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X] :
( ~ hates(charles,X)
| ~ hates(agatha,X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c8,plain,
( ~ hates(charles,X0)
| ~ hates(agatha,X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p23,plain,
( ~ hates(charles,X0)
| X0 = butler ),
inference(resolution,[status(thm)],[c9,c8]) ).
cnf(p68,plain,
( agatha = butler
| sk0 = butler
| sk0 = agatha ),
inference(resolution,[status(thm)],[p43,p23]) ).
fof(f6,axiom,
! [X,Y] :
( killed(X,Y)
=> ~ richer(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_5) ).
fof(f6_nnf,plain,
! [X,Y] :
( ~ richer(X,Y)
| ~ killed(X,Y) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] :
( ~ richer(X,Y)
| ~ killed(X,Y) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c7,plain,
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p22,plain,
~ richer(sk0,agatha),
inference(resolution,[status(thm)],[c7,c1]) ).
fof(f9,axiom,
! [X] :
( ~ richer(X,agatha)
=> hates(butler,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_8) ).
fof(f9_nnf,plain,
! [X] :
( hates(butler,X)
| richer(X,agatha) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X] :
( hates(butler,X)
| richer(X,agatha) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c10,plain,
( hates(butler,X0)
| richer(X0,agatha) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p44,plain,
hates(butler,sk0),
inference(resolution,[status(thm)],[p22,c10]) ).
cnf(p75,plain,
( hates(butler,butler)
| agatha = butler
| sk0 = agatha ),
inference(superposition,[status(thm)],[p68,p44]) ).
fof(f10,axiom,
! [X] :
( hates(agatha,X)
=> hates(butler,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_9) ).
fof(f10_nnf,plain,
! [X] :
( hates(butler,X)
| ~ hates(agatha,X) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X] :
( hates(butler,X)
| ~ hates(agatha,X) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c11,plain,
( hates(butler,X0)
| ~ hates(agatha,X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p24,plain,
( X0 = butler
| hates(butler,X0) ),
inference(resolution,[status(thm)],[c11,c9]) ).
fof(f11,axiom,
! [X] :
? [Y] : ~ hates(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_10) ).
fof(f11_nnf,plain,
! [X] :
? [Y] : ~ hates(X,Y),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X] : ~ hates(X,sk1(X)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f11_nnf]) ).
cnf(c12,plain,
~ hates(X0,sk1(X0)),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p46,plain,
sk1(butler) = butler,
inference(resolution,[status(thm)],[p24,c12]) ).
cnf(p71,plain,
~ hates(butler,butler),
inference(superposition,[status(thm)],[p46,c12]) ).
cnf(p77,plain,
( agatha = butler
| sk0 = agatha ),
inference(resolution,[status(thm)],[p75,p71]) ).
cnf(p78,plain,
( killed(agatha,agatha)
| agatha = butler ),
inference(superposition,[status(thm)],[p77,c1]) ).
fof(f13,conjecture,
killed(agatha,agatha),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55) ).
fof(f13_neg,negated_conjecture,
~ killed(agatha,agatha),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f13_nnf,plain,
~ killed(agatha,agatha),
inference(nnf_transformation,[status(thm)],[f13_neg]) ).
fof(f13_sk,plain,
~ killed(agatha,agatha),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c14,plain,
~ killed(agatha,agatha),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p80,plain,
agatha = butler,
inference(resolution,[status(thm)],[p78,c14]) ).
fof(f12,axiom,
agatha != butler,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_11) ).
fof(f12_nnf,plain,
agatha != butler,
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
agatha != butler,
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c13,plain,
agatha != butler,
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p81,plain,
$false,
inference(resolution,[status(thm)],[p80,c13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ001+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Thu Sep 24 06:33:22 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.42/0.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.42/0.85 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------