%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC011-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 02:39:34 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 12 unt; 0 def)
% Number of atoms : 92 ( 26 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 112 ( 60 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
! [A,B,C] :
( ~ neq(sk4,nil)
| app(B,C) != sk1
| app(app(B,cons(A,nil)),C) != sk2
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f201,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f202,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f203,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f204,negated_conjecture,
( ~ neq(sk4,nil)
| app(app(sk6,cons(sk5,nil)),sk7) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f205,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,sk7) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f440,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f441,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f442,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f451,plain,
( ~ neq(sk4,nil)
| ! [B,C] :
( app(B,C) != sk1
| ! [A] :
( app(app(B,cons(A,nil)),C) != sk2
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ) ) ),
inference(miniscoping,[status(thm)],[f200]) ).
fof(f452,plain,
! [X0,X1,X2] :
( ~ neq(sk4,nil)
| app(X1,X2) != sk1
| app(app(X1,cons(X0,nil)),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f451]) ).
fof(f453,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f454,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f455,plain,
( ~ neq(sk4,nil)
| ssList(sk7) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f456,plain,
( ~ neq(sk4,nil)
| app(app(sk6,cons(sk5,nil)),sk7) = sk4 ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f457,plain,
( ~ neq(sk4,nil)
| app(sk6,sk7) = sk3 ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f487,plain,
neq(sk2,nil),
inference(duplicate_literals_removal,[status(thm)],[f442]) ).
fof(f490,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(forward_demodulation,[status(thm)],[f440,f453]) ).
fof(f491,plain,
ssItem(sk5),
inference(forward_subsumption_resolution,[status(thm)],[f490,f487]) ).
fof(f492,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(forward_demodulation,[status(thm)],[f440,f454]) ).
fof(f493,plain,
ssList(sk6),
inference(forward_subsumption_resolution,[status(thm)],[f492,f487]) ).
fof(f494,plain,
( ~ neq(sk2,nil)
| ssList(sk7) ),
inference(forward_demodulation,[status(thm)],[f440,f455]) ).
fof(f495,plain,
ssList(sk7),
inference(forward_subsumption_resolution,[status(thm)],[f494,f487]) ).
fof(f499,plain,
( ~ neq(sk4,nil)
| app(sk6,sk7) = sk1 ),
inference(forward_demodulation,[status(thm)],[f441,f457]) ).
fof(f500,plain,
( ~ neq(sk2,nil)
| app(sk6,sk7) = sk1 ),
inference(forward_demodulation,[status(thm)],[f440,f499]) ).
fof(f501,plain,
app(sk6,sk7) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[f500,f487]) ).
fof(f519,plain,
( ~ neq(sk4,nil)
| app(app(sk6,cons(sk5,nil)),sk7) = sk2 ),
inference(forward_demodulation,[status(thm)],[f440,f456]) ).
fof(f520,plain,
( ~ neq(sk2,nil)
| app(app(sk6,cons(sk5,nil)),sk7) = sk2 ),
inference(forward_demodulation,[status(thm)],[f440,f519]) ).
fof(f521,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[f520,f487]) ).
fof(f533,plain,
! [X0,X1,X2] :
( ~ neq(sk2,nil)
| app(X1,X2) != sk1
| app(app(X1,cons(X0,nil)),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f440,f452]) ).
fof(f534,plain,
! [X0,X1,X2] :
( app(X1,X2) != sk1
| app(app(X1,cons(X0,nil)),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f487]) ).
fof(f535,plain,
( app(sk6,sk7) != sk1
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f534,f521]) ).
fof(f537,plain,
( sk1 != sk1
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssItem(sk5) ),
inference(forward_demodulation,[status(thm)],[f501,f535]) ).
fof(f538,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssItem(sk5) ),
inference(trivial_equality_resolution,[status(thm)],[f537]) ).
fof(f539,plain,
( ~ ssList(sk7)
| ~ ssList(sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[f538,f491]) ).
fof(f544,plain,
~ ssList(sk7),
inference(forward_subsumption_resolution,[status(thm)],[f539,f493]) ).
fof(f545,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f495,f544]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC011-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.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 07:51:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.051290 seconds
% 0.10/0.42 % CPU time: 0.125706 seconds
% 0.10/0.42 % Total memory used: 44.376 MB
% 0.10/0.42 % Net memory used: 44.307 MB
%------------------------------------------------------------------------------