%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LDA007-2 : TPTP v9.3.1. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 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(f10,axiom,
tt = f(t,t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
ts = f(t,s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
tt_ts = f(tt,ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
tk = f(t,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
tsk = f(ts,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
f(t,tsk) != f(tt_ts,tk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0,X1,X2] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
tt = f(t,t),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f34,plain,
ts = f(t,s),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f35,plain,
tt_ts = f(tt,ts),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f38,plain,
tk = f(t,k),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f40,plain,
tsk = f(ts,k),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f42,plain,
f(t,tsk) != f(tt_ts,tk),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f47,plain,
! [X0] : f(t,f(X0,k)) = f(f(t,X0),tk),
inference(paramodulation,[status(thm)],[f38,f21]) ).
fof(f153,plain,
! [X0] : f(t,f(t,X0)) = f(tt,f(t,X0)),
inference(paramodulation,[status(thm)],[f32,f21]) ).
fof(f382,plain,
f(t,ts) = f(tt,f(t,s)),
inference(paramodulation,[status(thm)],[f34,f153]) ).
fof(f401,plain,
f(t,ts) = f(tt,ts),
inference(forward_demodulation,[status(thm)],[f34,f382]) ).
fof(f402,plain,
f(t,ts) = tt_ts,
inference(forward_demodulation,[status(thm)],[f35,f401]) ).
fof(f413,plain,
f(t,f(ts,k)) = f(tt_ts,tk),
inference(paramodulation,[status(thm)],[f402,f47]) ).
fof(f422,plain,
f(t,tsk) = f(tt_ts,tk),
inference(forward_demodulation,[status(thm)],[f40,f413]) ).
fof(f423,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f422,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LDA007-2 : TPTP v9.3.1. Bugfixed v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 01:16:20 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.068732 seconds
% 0.13/0.43 % CPU time: 0.194715 seconds
% 0.13/0.43 % Total memory used: 103.769 MB
% 0.13/0.43 % Net memory used: 103.470 MB
%------------------------------------------------------------------------------