%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COL075-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 12:08:41 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.89s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : apply(apply(k,X),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : apply(apply(apply(abstraction,X),Y),Z) = apply(apply(X,apply(k,Z)),apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [Y] : apply(apply(Y,b(Y)),c(Y)) != apply(b(Y),b(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0,X1] : apply(apply(k,X0),X1) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
! [X0,X1,X2] : apply(apply(apply(abstraction,X0),X1),X2) = apply(apply(X0,apply(k,X2)),apply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
! [X0] : apply(apply(X0,b(X0)),c(X0)) != apply(b(X0),b(X0)),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f54,plain,
! [X0,X1,X2] : apply(apply(apply(abstraction,X0),apply(k,X1)),X2) = apply(apply(X0,apply(k,X2)),X1),
inference(paramodulation,[status(thm)],[f12,f17]) ).
fof(f2675,plain,
! [X0,X1] : apply(apply(apply(apply(abstraction,abstraction),k),X0),X1) = apply(apply(apply(k,X0),apply(k,X1)),X0),
inference(paramodulation,[status(thm)],[f17,f54]) ).
fof(f2728,plain,
! [X0,X1] : apply(apply(apply(apply(abstraction,abstraction),k),X0),X1) = apply(X0,X0),
inference(forward_demodulation,[status(thm)],[f12,f2675]) ).
fof(f5527,plain,
$false,
inference(resolution,[status(thm)],[f2728,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL075-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n019.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 14:08:44 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.13/5.89 % Refutation found
% 0.13/5.89 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.91 % Elapsed time: 0.527448 seconds
% 0.13/5.91 % CPU time: 3.970358 seconds
% 0.13/5.91 % Total memory used: 210.543 MB
% 0.13/5.91 % Net memory used: 206.966 MB
%------------------------------------------------------------------------------