%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 01:06:55 PM UTC 2026
% Result : Unsatisfiable 0.05s 0.46s
% Output : CNFRefutation 0.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 13 unt; 0 def)
% Number of atoms : 21 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( implies(X,Y) = truth
| ~ ordered(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( ordered(X,Y)
| implies(X,Y) != truth ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
ordered(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ ordered(implies(z,x),implies(z,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] : implies(truth,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
! [X0,X1] :
( implies(X0,X1) = truth
| ~ ordered(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
! [X0,X1] :
( ordered(X0,X1)
| implies(X0,X1) != truth ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
ordered(x,y),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
~ ordered(implies(z,x),implies(z,y)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f22,plain,
implies(x,y) = truth,
inference(resolution,[status(thm)],[f17,f19]) ).
fof(f92,plain,
! [X0] : implies(implies(X0,x),implies(truth,implies(X0,y))) = truth,
inference(paramodulation,[status(thm)],[f22,f12]) ).
fof(f110,plain,
! [X0] : implies(implies(X0,x),implies(X0,y)) = truth,
inference(forward_demodulation,[status(thm)],[f11,f92]) ).
fof(f165,plain,
! [X0] : ordered(implies(X0,x),implies(X0,y)),
inference(resolution,[status(thm)],[f110,f18]) ).
fof(f182,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f20,f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n004.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 00:06:50 UTC 2026
% 0.05/0.42 % CPUTime :
% 0.05/0.43 % Drodi V4.1.1
% 0.05/0.46 % Refutation found
% 0.05/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.05/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.05/0.51 % Elapsed time: 0.082427 seconds
% 0.05/0.51 % CPU time: 0.185556 seconds
% 0.05/0.51 % Total memory used: 35.945 MB
% 0.05/0.51 % Net memory used: 35.744 MB
%------------------------------------------------------------------------------