%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC355-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 : Thu Sep 24 02:40:54 PM UTC 2026
% Result : Unsatisfiable 47.48s 6.49s
% Output : CNFRefutation 47.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 17 unt; 0 def)
% Number of atoms : 106 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 125 ( 65 ~; 60 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,axiom,
! [U,V] :
( ssList(app(V,U))
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [U,V] :
( ssList(cons(U,V))
| ~ ssList(V)
| ~ ssItem(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f173,axiom,
! [U,V,W,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ~ ssList(U)
| ~ ssList(W)
| app(app(U,V),W) != X ),
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(f197,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk3,cons(sk5,nil)) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f207,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f274,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f285,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f286,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f405,plain,
! [V,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ! [U] :
( ~ ssList(U)
| ! [W] :
( ~ ssList(W)
| app(app(U,V),W) != X ) ) ),
inference(miniscoping,[status(thm)],[f173]) ).
fof(f406,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f430,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f434,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f435,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f436,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f441,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f442,plain,
( ~ neq(sk4,nil)
| app(sk3,cons(sk5,nil)) = sk4 ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f443,plain,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f462,plain,
! [X0,X1,X2] :
( segmentP(app(app(X1,X2),X0),X2)
| ~ ssList(app(app(X1,X2),X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f406]) ).
fof(f473,plain,
neq(sk2,nil),
inference(duplicate_literals_removal,[status(thm)],[f436]) ).
fof(f476,plain,
neq(sk4,nil),
inference(forward_demodulation,[status(thm)],[f434,f473]) ).
fof(f483,plain,
app(nil,sk1) = sk1,
inference(resolution,[status(thm)],[f274,f430]) ).
fof(f494,plain,
ssItem(sk5),
inference(forward_subsumption_resolution,[status(thm)],[f441,f476]) ).
fof(f518,plain,
( ~ neq(sk4,nil)
| ~ segmentP(sk4,sk1) ),
inference(forward_demodulation,[status(thm)],[f434,f443]) ).
fof(f519,plain,
~ segmentP(sk4,sk1),
inference(forward_subsumption_resolution,[status(thm)],[f518,f476]) ).
fof(f520,plain,
( ~ neq(sk4,nil)
| app(sk1,cons(sk5,nil)) = sk4 ),
inference(forward_demodulation,[status(thm)],[f435,f442]) ).
fof(f521,plain,
app(sk1,cons(sk5,nil)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[f520,f476]) ).
fof(f1284,plain,
! [X0] :
( segmentP(app(app(nil,sk1),X0),sk1)
| ~ ssList(app(sk1,X0))
| ~ ssList(sk1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f483,f462]) ).
fof(f1322,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(sk1,X0))
| ~ ssList(sk1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f483,f1284]) ).
fof(f1323,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(sk1,X0))
| ~ ssList(sk1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1322,f207]) ).
fof(f20526,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(sk1,X0))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1323,f430]) ).
fof(f20527,plain,
! [X0] :
( ~ ssList(sk1)
| ~ ssList(X0)
| segmentP(app(sk1,X0),sk1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f20526,f285]) ).
fof(f20531,plain,
! [X0] :
( ~ ssList(sk1)
| segmentP(app(sk1,X0),sk1)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f20527]) ).
fof(f20532,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f20531,f430]) ).
fof(f20789,plain,
( segmentP(sk4,sk1)
| ~ ssList(cons(sk5,nil)) ),
inference(paramodulation,[status(thm)],[f521,f20532]) ).
fof(f20796,plain,
~ ssList(cons(sk5,nil)),
inference(forward_subsumption_resolution,[status(thm)],[f20789,f519]) ).
fof(f20840,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f20796,f286]) ).
fof(f20841,plain,
~ ssList(nil),
inference(forward_subsumption_resolution,[status(thm)],[f20840,f494]) ).
fof(f20842,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f20841,f207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC355-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n007.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 08:16:20 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 47.48/6.49 % Refutation found
% 47.48/6.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 47.48/6.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 32.27/6.58 % Elapsed time: 6.221668 seconds
% 32.27/6.58 % CPU time: 48.578279 seconds
% 32.27/6.58 % Total memory used: 319.190 MB
% 32.27/6.58 % Net memory used: 302.465 MB
%------------------------------------------------------------------------------