%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC027-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:39:39 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 12 unt; 0 def)
% Number of atoms : 70 ( 42 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 31 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [U] :
( ~ ssItem(U)
| ~ memberP(nil,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,axiom,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != nil ),
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,
( nil = sk4
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( nil = sk3
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( nil = sk3
| memberP(sk4,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
( nil = sk1
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f203,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f211,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f274,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f302,plain,
! [V] :
( ~ ssList(V)
| ! [U] :
( ~ ssItem(U)
| cons(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f303,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f302]) ).
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,
( nil = sk4
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f441,plain,
( nil = sk3
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f442,plain,
( nil = sk4
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f447,plain,
( nil = sk3
| memberP(sk4,sk5) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f450,plain,
( nil = sk1
| nil = sk2 ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f453,plain,
( nil != sk2
| nil != sk1 ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f485,plain,
( nil = sk1
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f438,f450]) ).
fof(f486,plain,
( nil = sk3
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f439,f485]) ).
fof(f488,plain,
( nil != sk2
| nil != sk3 ),
inference(forward_demodulation,[status(thm)],[f439,f453]) ).
fof(f489,plain,
( nil != sk4
| nil != sk3 ),
inference(forward_demodulation,[status(thm)],[f438,f488]) ).
fof(f492,plain,
( nil = sk4
| ~ ssList(nil)
| ~ ssItem(sk5)
| sk3 != nil ),
inference(paramodulation,[status(thm)],[f442,f303]) ).
fof(f494,plain,
( nil = sk4
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f492,f486]) ).
fof(f502,plain,
( nil = sk4
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f494,f440]) ).
fof(f503,plain,
nil = sk4,
inference(resolution,[status(thm)],[f502,f211]) ).
fof(f505,plain,
( nil = sk3
| memberP(nil,sk5) ),
inference(backward_demodulation,[status(thm)],[f503,f447]) ).
fof(f508,plain,
( nil != nil
| nil != sk3 ),
inference(backward_demodulation,[status(thm)],[f503,f489]) ).
fof(f513,plain,
nil != sk3,
inference(trivial_equality_resolution,[status(thm)],[f508]) ).
fof(f518,plain,
ssItem(sk5),
inference(backward_subsumption_resolution,[status(thm)],[f441,f513]) ).
fof(f524,plain,
memberP(nil,sk5),
inference(forward_subsumption_resolution,[status(thm)],[f505,f513]) ).
fof(f525,plain,
~ ssItem(sk5),
inference(resolution,[status(thm)],[f524,f274]) ).
fof(f526,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f525,f518]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC027-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n017.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 07:45:33 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.14/5.42 % Refutation found
% 0.14/5.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.46 % Elapsed time: 0.065420 seconds
% 0.14/5.46 % CPU time: 0.180146 seconds
% 0.14/5.46 % Total memory used: 108.964 MB
% 0.14/5.46 % Net memory used: 108.841 MB
%------------------------------------------------------------------------------