%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC254-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 02:40:32 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 59 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f116,axiom,
! [U,V] :
( singletonP(V)
| ~ ssList(V)
| ~ ssItem(U)
| cons(U,nil) != V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f201,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f203,negated_conjecture,
( ~ neq(sk4,nil)
| ~ singletonP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f326,plain,
! [V] :
( singletonP(V)
| ~ ssList(V)
| ! [U] :
( ~ ssItem(U)
| cons(U,nil) != V ) ),
inference(miniscoping,[status(thm)],[f116]) ).
fof(f327,plain,
! [X0,X1] :
( singletonP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,nil) != X1 ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f434,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f438,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f439,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f440,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f447,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f449,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f451,plain,
( ~ neq(sk4,nil)
| ~ singletonP(sk1) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f461,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f327]) ).
fof(f481,plain,
neq(sk2,nil),
inference(duplicate_literals_removal,[status(thm)],[f440]) ).
fof(f484,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(forward_demodulation,[status(thm)],[f438,f447]) ).
fof(f485,plain,
ssItem(sk5),
inference(forward_subsumption_resolution,[status(thm)],[f484,f481]) ).
fof(f488,plain,
( ~ neq(sk2,nil)
| ~ singletonP(sk1) ),
inference(forward_demodulation,[status(thm)],[f438,f451]) ).
fof(f489,plain,
~ singletonP(sk1),
inference(forward_subsumption_resolution,[status(thm)],[f488,f481]) ).
fof(f491,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk1 ),
inference(forward_demodulation,[status(thm)],[f439,f449]) ).
fof(f492,plain,
( ~ neq(sk2,nil)
| cons(sk5,nil) = sk1 ),
inference(forward_demodulation,[status(thm)],[f438,f491]) ).
fof(f493,plain,
cons(sk5,nil) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[f492,f481]) ).
fof(f510,plain,
( singletonP(sk1)
| ~ ssList(cons(sk5,nil))
| ~ ssItem(sk5) ),
inference(paramodulation,[status(thm)],[f493,f461]) ).
fof(f511,plain,
( singletonP(sk1)
| ~ ssList(sk1)
| ~ ssItem(sk5) ),
inference(forward_demodulation,[status(thm)],[f493,f510]) ).
fof(f512,plain,
( singletonP(sk1)
| ~ ssList(sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f511,f485]) ).
fof(f516,plain,
singletonP(sk1),
inference(forward_subsumption_resolution,[status(thm)],[f512,f434]) ).
fof(f517,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f489,f516]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC254-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 08:10:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.057201 seconds
% 0.13/0.42 % CPU time: 0.147715 seconds
% 0.13/0.42 % Total memory used: 74.770 MB
% 0.13/0.42 % Net memory used: 74.675 MB
%------------------------------------------------------------------------------