%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC323-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 02:40:47 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 18 unt; 0 def)
% Number of atoms : 106 ( 40 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 125 ( 70 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [U] :
( app(U,nil) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [U,V] :
( ssList(cons(U,V))
| ~ ssList(V)
| ~ ssItem(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
! [A,B] :
( app(B,A) != sk1
| app(A,B) != sk2
| ~ ssList(B)
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f205,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f271,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f272,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f284,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f300,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f430,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f431,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f432,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f433,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f434,plain,
! [X0,X1] :
( app(X1,X0) != sk1
| app(X0,X1) != sk2
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
( nil != sk4
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f436,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f437,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f438,plain,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f439,plain,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk3 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f471,plain,
! [X0,X1] :
( app(X1,X0) != sk1
| app(X0,X1) != sk4
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f432,f434]) ).
fof(f472,plain,
! [X0,X1] :
( app(X1,X0) != sk3
| app(X0,X1) != sk4
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f433,f471]) ).
fof(f474,plain,
( ~ ssList(sk3)
| app(nil,sk3) != sk4
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f472,f271]) ).
fof(f477,plain,
( app(nil,sk3) != sk4
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(duplicate_literals_removal,[status(thm)],[f474]) ).
fof(f478,plain,
( app(nil,sk3) != sk4
| ~ ssList(sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[f477,f205]) ).
fof(f494,plain,
app(nil,sk3) != sk4,
inference(forward_subsumption_resolution,[status(thm)],[f478,f430]) ).
fof(f496,plain,
( app(cons(sk5,nil),sk6) != sk4
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(resolution,[status(thm)],[f439,f472]) ).
fof(f497,plain,
( app(cons(sk5,nil),sk6) != sk4
| ~ ssList(cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f496,f437]) ).
fof(f509,plain,
( ~ ssList(cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f497,f438]) ).
fof(f510,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(resolution,[status(thm)],[f509,f284]) ).
fof(f511,plain,
( ~ ssList(nil)
| ~ neq(sk4,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f510,f436]) ).
fof(f512,plain,
~ neq(sk4,nil),
inference(forward_subsumption_resolution,[status(thm)],[f511,f205]) ).
fof(f514,plain,
( sk4 = nil
| ~ ssList(sk4)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f512,f300]) ).
fof(f515,plain,
( sk4 = nil
| ~ ssList(sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f205]) ).
fof(f519,plain,
app(nil,sk3) != nil,
inference(backward_demodulation,[status(thm)],[f525,f494]) ).
fof(f522,plain,
( nil != nil
| nil = sk3 ),
inference(backward_demodulation,[status(thm)],[f525,f435]) ).
fof(f525,plain,
sk4 = nil,
inference(forward_subsumption_resolution,[status(thm)],[f515,f431]) ).
fof(f526,plain,
nil = sk3,
inference(trivial_equality_resolution,[status(thm)],[f522]) ).
fof(f538,plain,
app(nil,nil) != nil,
inference(forward_demodulation,[status(thm)],[f526,f519]) ).
fof(f539,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[f538,f272]) ).
fof(f541,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f539,f205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC323-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:16:10 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % 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
% 0.13/0.43 % Elapsed time: 0.058753 seconds
% 0.13/0.43 % CPU time: 0.171420 seconds
% 0.13/0.43 % Total memory used: 109.082 MB
% 0.13/0.43 % Net memory used: 108.947 MB
%------------------------------------------------------------------------------