%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COL018-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 12:08:29 PM UTC 2026
% Result : Unsatisfiable 0.04s 10.32s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : apply(apply(l,X),Y) = apply(X,apply(Y,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Y] : Y != apply(combinator,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1] : apply(apply(l,X0),X1) = apply(X0,apply(X1,X1)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0] : X0 != apply(combinator,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
! [X0] : apply(X0,X0) != apply(apply(l,combinator),X0),
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f16,plain,
$false,
inference(destructive_equality_resolution,[status(thm)],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : COL018-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/10.31 % Computer : n012.cluster.edu
% 0.04/10.31 % Model : x86_64 x86_64
% 0.04/10.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.31 % Memory : 8046.5625MB
% 0.04/10.31 % OS : Linux 6.8.0-71-generic
% 0.04/10.32 % CPULimit : 300
% 0.04/10.32 % WCLimit : 300
% 0.04/10.32 % DateTime : Mon Sep 21 14:05:07 UTC 2026
% 0.04/10.32 % CPUTime :
% 0.04/10.32 % Drodi V4.1.1
% 0.04/10.32 % Refutation found
% 0.04/10.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/10.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.04/10.34 % Elapsed time: 0.016238 seconds
% 0.04/10.34 % CPU time: 0.017251 seconds
% 0.04/10.34 % Total memory used: 198.656 KB
% 0.04/10.34 % Net memory used: 183.856 KB
%------------------------------------------------------------------------------