%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ001+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 : Thu Sep 24 01:59:48 PM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 19 unt; 0 def)
% Number of atoms : 85 ( 27 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 28 ~; 28 |; 2 &)
% ( 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 : 34 ( 32 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X] :
( killed(X,agatha)
& lives(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( lives(X)
=> ( X = charles
| X = butler
| X = agatha ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( killed(X,Y)
=> hates(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( killed(X,Y)
=> ~ richer(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( hates(agatha,X)
=> ~ hates(charles,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( X != butler
=> hates(agatha,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( ~ richer(X,agatha)
=> hates(butler,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( hates(agatha,X)
=> hates(butler,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
? [Y] : ~ hates(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
agatha != butler,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
killed(agatha,agatha),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ killed(agatha,agatha),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
( killed(sK0_skl,agatha)
& lives(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f1]) ).
fof(f17,plain,
lives(sK0_skl),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
killed(sK0_skl,agatha),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f22,plain,
! [X] :
( X = charles
| X = butler
| X = agatha
| ~ lives(X) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f23,plain,
! [X0] :
( X0 = charles
| X0 = butler
| X0 = agatha
| ~ lives(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [X,Y] :
( hates(X,Y)
| ~ killed(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f25,plain,
! [X0,X1] :
( hates(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f26,plain,
! [X,Y] :
( ~ richer(X,Y)
| ~ killed(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f27,plain,
! [X0,X1] :
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f28,plain,
! [X] :
( ~ hates(charles,X)
| ~ hates(agatha,X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f29,plain,
! [X0] :
( ~ hates(charles,X0)
| ~ hates(agatha,X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
! [X] :
( hates(agatha,X)
| X = butler ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
! [X0] :
( hates(agatha,X0)
| X0 = butler ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
! [X] :
( hates(butler,X)
| richer(X,agatha) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f33,plain,
! [X0] :
( hates(butler,X0)
| richer(X0,agatha) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
! [X] :
( hates(butler,X)
| ~ hates(agatha,X) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f35,plain,
! [X0] :
( hates(butler,X0)
| ~ hates(agatha,X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X] : ~ hates(X,sK1_skl(X)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f12]) ).
fof(f37,plain,
! [X0] : ~ hates(X0,sK1_skl(X0)),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
agatha != butler,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f39,plain,
~ killed(agatha,agatha),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f40,plain,
hates(sK0_skl,agatha),
inference(resolution,[status(thm)],[f18,f25]) ).
fof(f41,plain,
~ richer(sK0_skl,agatha),
inference(resolution,[status(thm)],[f27,f18]) ).
fof(f45,plain,
! [X0] :
( X0 = butler
| ~ hates(charles,X0) ),
inference(resolution,[status(thm)],[f29,f31]) ).
fof(f46,plain,
richer(sK1_skl(butler),agatha),
inference(resolution,[status(thm)],[f33,f37]) ).
fof(f50,plain,
( sK0_skl = charles
| sK0_skl = butler
| sK0_skl = agatha ),
inference(resolution,[status(thm)],[f23,f17]) ).
fof(f51,plain,
! [X0] :
( X0 = butler
| hates(butler,X0) ),
inference(resolution,[status(thm)],[f35,f31]) ).
fof(f52,plain,
sK1_skl(butler) = butler,
inference(resolution,[status(thm)],[f51,f37]) ).
fof(f53,plain,
richer(butler,agatha),
inference(backward_demodulation,[status(thm)],[f52,f46]) ).
fof(f59,plain,
( sK0_skl = charles
| sK0_skl = butler
| killed(agatha,agatha) ),
inference(paramodulation,[status(thm)],[f50,f18]) ).
fof(f63,plain,
( sK0_skl = charles
| sK0_skl = butler ),
inference(forward_subsumption_resolution,[status(thm)],[f59,f39]) ).
fof(f64,plain,
( sK0_skl = charles
| ~ richer(butler,agatha) ),
inference(paramodulation,[status(thm)],[f63,f41]) ).
fof(f69,plain,
sK0_skl = charles,
inference(forward_subsumption_resolution,[status(thm)],[f64,f53]) ).
fof(f72,plain,
hates(charles,agatha),
inference(backward_demodulation,[status(thm)],[f69,f40]) ).
fof(f75,plain,
agatha = butler,
inference(resolution,[status(thm)],[f72,f45]) ).
fof(f76,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f75,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ001+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 03:44:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.41 % Elapsed time: 0.040495 seconds
% 0.10/0.41 % CPU time: 0.113700 seconds
% 0.10/0.41 % Total memory used: 45.115 MB
% 0.10/0.41 % Net memory used: 44.930 MB
%------------------------------------------------------------------------------