%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LDA003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 01:24:38 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 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 : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : left(X,f(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
n2 = f(n1,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
n3 = f(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
u = f(n2,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ left(n3,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1,X2] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0,X1] : left(X0,f(X0,X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
n2 = f(n1,n1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
n3 = f(n2,n1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
u = f(n2,n2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
~ left(n3,u),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f19,plain,
! [X0] : f(n2,f(n1,X0)) = f(n3,f(n2,X0)),
inference(paramodulation,[status(thm)],[f13,f8]) ).
fof(f84,plain,
f(n2,f(n1,n1)) = f(n3,n3),
inference(paramodulation,[status(thm)],[f13,f19]) ).
fof(f95,plain,
f(n2,n2) = f(n3,n3),
inference(forward_demodulation,[status(thm)],[f12,f84]) ).
fof(f96,plain,
u = f(n3,n3),
inference(forward_demodulation,[status(thm)],[f14,f95]) ).
fof(f105,plain,
left(n3,u),
inference(paramodulation,[status(thm)],[f96,f9]) ).
fof(f107,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f105,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LDA003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n019.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 01:16:50 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.49 % Elapsed time: 0.052621 seconds
% 0.16/0.49 % CPU time: 0.153501 seconds
% 0.16/0.49 % Total memory used: 37.650 MB
% 0.16/0.49 % Net memory used: 37.385 MB
%------------------------------------------------------------------------------