%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LDA007-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 01:24:39 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 27 unt; 2 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 11 ( 11 usr; 10 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(f2,axiom,
tt = f(t,t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
ts = f(t,s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
tt_ts = f(tt,ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
tk = f(t,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
tsk = f(ts,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
f(t,tsk) != f(tt_ts,tk),
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,
tt = f(t,t),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
ts = f(t,s),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
tt_ts = f(tt,ts),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
tk = f(t,k),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
tsk = f(ts,k),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
f(t,tsk) != f(tt_ts,tk),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f15,definition,
sF0_fnc = f(t,tsk),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f16,definition,
sF1_fnc = f(tt_ts,tk),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f17,plain,
sF0_fnc != sF1_fnc,
inference(definition_folding,[],[f14,f16,f15]) ).
fof(f28,plain,
! [X0] : f(t,f(X0,k)) = f(f(t,X0),tk),
inference(paramodulation,[status(thm)],[f12,f8]) ).
fof(f309,plain,
! [X0] : f(t,f(t,X0)) = f(tt,f(t,X0)),
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f539,plain,
f(t,ts) = f(tt,f(t,s)),
inference(paramodulation,[status(thm)],[f10,f309]) ).
fof(f567,plain,
f(t,ts) = f(tt,ts),
inference(forward_demodulation,[status(thm)],[f10,f539]) ).
fof(f568,plain,
f(t,ts) = tt_ts,
inference(forward_demodulation,[status(thm)],[f11,f567]) ).
fof(f590,plain,
f(t,f(ts,k)) = f(tt_ts,tk),
inference(paramodulation,[status(thm)],[f568,f28]) ).
fof(f599,plain,
f(t,tsk) = f(tt_ts,tk),
inference(forward_demodulation,[status(thm)],[f13,f590]) ).
fof(f600,plain,
sF0_fnc = f(tt_ts,tk),
inference(forward_demodulation,[status(thm)],[f15,f599]) ).
fof(f601,plain,
sF0_fnc = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f16,f600]) ).
fof(f602,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f601,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LDA007-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 01:19:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.39 % Elapsed time: 0.028048 seconds
% 0.08/0.39 % CPU time: 0.076359 seconds
% 0.08/0.39 % Total memory used: 4.534 MB
% 0.08/0.39 % Net memory used: 4.491 MB
%------------------------------------------------------------------------------