%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC380-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 02:41:01 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 13 unt; 0 def)
% Number of atoms : 103 ( 28 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 117 ( 61 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f120,axiom,
! [U,V] :
( app(cons(U,nil),V) = cons(U,V)
| ~ ssList(V)
| ~ ssItem(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f138,axiom,
! [U,V,W] :
( memberP(cons(V,W),U)
| ~ ssItem(U)
| ~ ssItem(V)
| ~ ssList(W)
| U != V ),
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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
! [A] :
( ~ neq(sk4,nil)
| ~ memberP(sk2,A)
| cons(A,nil) != sk1
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f201,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f202,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f203,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f334,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) = cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f356,plain,
! [X0,X1,X2] :
( memberP(cons(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f138]) ).
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(f448,plain,
( ~ neq(sk4,nil)
| ! [A] :
( ~ memberP(sk2,A)
| cons(A,nil) != sk1
| ~ ssItem(A) ) ),
inference(miniscoping,[status(thm)],[f199]) ).
fof(f449,plain,
! [X0] :
( ~ neq(sk4,nil)
| ~ memberP(sk2,X0)
| cons(X0,nil) != sk1
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f450,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f451,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f452,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f453,plain,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f466,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(destructive_equality_resolution,[status(thm)],[f356]) ).
fof(f467,plain,
! [X0,X1] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f466]) ).
fof(f483,plain,
neq(sk2,nil),
inference(duplicate_literals_removal,[status(thm)],[f440]) ).
fof(f486,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(forward_demodulation,[status(thm)],[f438,f450]) ).
fof(f487,plain,
ssItem(sk5),
inference(forward_subsumption_resolution,[status(thm)],[f486,f483]) ).
fof(f488,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(forward_demodulation,[status(thm)],[f438,f451]) ).
fof(f489,plain,
ssList(sk6),
inference(forward_subsumption_resolution,[status(thm)],[f488,f483]) ).
fof(f495,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk1 ),
inference(forward_demodulation,[status(thm)],[f439,f452]) ).
fof(f496,plain,
( ~ neq(sk2,nil)
| cons(sk5,nil) = sk1 ),
inference(forward_demodulation,[status(thm)],[f438,f495]) ).
fof(f497,plain,
cons(sk5,nil) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[f496,f483]) ).
fof(f511,plain,
! [X0] :
( app(sk1,X0) = cons(sk5,X0)
| ~ ssList(X0)
| ~ ssItem(sk5) ),
inference(paramodulation,[status(thm)],[f497,f334]) ).
fof(f512,plain,
! [X0] :
( app(sk1,X0) = cons(sk5,X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f511,f487]) ).
fof(f516,plain,
( ~ neq(sk4,nil)
| app(sk1,sk6) = sk4 ),
inference(forward_demodulation,[status(thm)],[f497,f453]) ).
fof(f517,plain,
( ~ neq(sk4,nil)
| app(sk1,sk6) = sk2 ),
inference(forward_demodulation,[status(thm)],[f438,f516]) ).
fof(f518,plain,
( ~ neq(sk2,nil)
| app(sk1,sk6) = sk2 ),
inference(forward_demodulation,[status(thm)],[f438,f517]) ).
fof(f519,plain,
app(sk1,sk6) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[f518,f483]) ).
fof(f520,plain,
( sk2 = cons(sk5,sk6)
| ~ ssList(sk6) ),
inference(paramodulation,[status(thm)],[f519,f512]) ).
fof(f524,plain,
sk2 = cons(sk5,sk6),
inference(forward_subsumption_resolution,[status(thm)],[f520,f489]) ).
fof(f527,plain,
! [X0] :
( ~ neq(sk2,nil)
| ~ memberP(sk2,X0)
| cons(X0,nil) != sk1
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f438,f449]) ).
fof(f528,plain,
! [X0] :
( ~ memberP(sk2,X0)
| cons(X0,nil) != sk1
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f527,f483]) ).
fof(f529,plain,
( ~ memberP(sk2,sk5)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f528,f497]) ).
fof(f531,plain,
~ memberP(sk2,sk5),
inference(forward_subsumption_resolution,[status(thm)],[f529,f487]) ).
fof(f535,plain,
( memberP(sk2,sk5)
| ~ ssItem(sk5)
| ~ ssList(sk6) ),
inference(paramodulation,[status(thm)],[f524,f467]) ).
fof(f540,plain,
( memberP(sk2,sk5)
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f535,f489]) ).
fof(f546,plain,
memberP(sk2,sk5),
inference(forward_subsumption_resolution,[status(thm)],[f540,f487]) ).
fof(f547,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f531,f546]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC380-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 08:15:12 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.45 % Elapsed time: 0.066527 seconds
% 0.13/0.45 % CPU time: 0.180206 seconds
% 0.13/0.45 % Total memory used: 109.111 MB
% 0.13/0.45 % Net memory used: 108.990 MB
%------------------------------------------------------------------------------