%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COL011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 12:08:28 PM UTC 2026
% Result : Unsatisfiable 8.19s 1.91s
% Output : CNFRefutation 8.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : apply(apply(o,X),Y) = apply(Y,apply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : apply(apply(apply(q1,X),Y),Z) = apply(X,apply(Z,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Y] : Y != apply(combinator,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1] : apply(apply(o,X0),X1) = apply(X1,apply(X0,X1)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1,X2] : apply(apply(apply(q1,X0),X1),X2) = apply(X0,apply(X2,X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
! [X0] : X0 != apply(combinator,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1,X2] : apply(X0,apply(apply(X1,apply(apply(q1,X0),X2)),X2)) = apply(apply(o,X1),apply(apply(q1,X0),X2)),
inference(paramodulation,[status(thm)],[f4,f5]) ).
fof(f30,plain,
! [X0,X1,X2] : apply(apply(o,apply(q1,X0)),apply(apply(q1,X1),X2)) = apply(X1,apply(X0,apply(X2,apply(apply(q1,X1),X2)))),
inference(paramodulation,[status(thm)],[f5,f11]) ).
fof(f45,plain,
! [X0,X1] : apply(apply(X0,apply(apply(q1,combinator),X1)),X1) != apply(apply(o,X0),apply(apply(q1,combinator),X1)),
inference(paramodulation,[status(thm)],[f11,f6]) ).
fof(f56,plain,
! [X0,X1] : apply(apply(o,apply(q1,X0)),apply(apply(q1,combinator),X1)) != apply(X0,apply(X1,apply(apply(q1,combinator),X1))),
inference(paramodulation,[status(thm)],[f5,f45]) ).
fof(f1568,plain,
! [X0,X1,X2] : apply(apply(X0,apply(X1,apply(apply(q1,q1),X1))),apply(X2,apply(apply(q1,combinator),X2))) != apply(apply(o,apply(apply(o,apply(q1,X0)),apply(apply(q1,q1),X1))),apply(apply(q1,combinator),X2)),
inference(paramodulation,[status(thm)],[f30,f56]) ).
fof(f1693,plain,
$false,
inference(resolution,[status(thm)],[f1568,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 % Computer : n005.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Mon Sep 21 14:04:33 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.48 % Drodi V4.1.1
% 8.19/1.91 % Refutation found
% 8.19/1.91 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.19/1.91 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.19/1.93 % Elapsed time: 1.434085 seconds
% 8.19/1.93 % CPU time: 11.008719 seconds
% 8.19/1.93 % Total memory used: 155.570 MB
% 8.19/1.93 % Net memory used: 150.556 MB
%------------------------------------------------------------------------------