%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ROB013-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 02:06:32 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.41s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 22 unt; 5 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
negate(add(a,b)) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
negate(add(c,negate(add(negate(b),a)))) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
negate(add(a,b)) = c,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
negate(add(c,negate(add(negate(b),a)))) != a,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,definition,
sF4_fnc = negate(b),
introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).
fof(f12,definition,
sF3_fnc = add(sF4_fnc,a),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f13,definition,
sF2_fnc = negate(sF3_fnc),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f14,definition,
sF1_fnc = add(c,sF2_fnc),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f15,definition,
sF0_fnc = negate(sF1_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f16,plain,
sF0_fnc != a,
inference(definition_folding,[],[f10,f15,f14,f13,f12,f11]) ).
fof(f17,plain,
sF3_fnc = add(a,sF4_fnc),
inference(paramodulation,[status(thm)],[f12,f6]) ).
fof(f127,plain,
negate(add(c,negate(add(a,negate(b))))) = a,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f148,plain,
negate(add(c,negate(add(a,sF4_fnc)))) = a,
inference(forward_demodulation,[status(thm)],[f11,f127]) ).
fof(f149,plain,
negate(add(c,negate(sF3_fnc))) = a,
inference(forward_demodulation,[status(thm)],[f17,f148]) ).
fof(f150,plain,
negate(add(c,sF2_fnc)) = a,
inference(forward_demodulation,[status(thm)],[f13,f149]) ).
fof(f151,plain,
negate(sF1_fnc) = a,
inference(forward_demodulation,[status(thm)],[f14,f150]) ).
fof(f152,plain,
sF0_fnc = a,
inference(forward_demodulation,[status(thm)],[f15,f151]) ).
fof(f153,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f152,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 21 04:28:30 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.40 % Drodi V4.1.1
% 0.17/0.41 % Refutation found
% 0.17/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.43 % Elapsed time: 0.032027 seconds
% 0.17/0.43 % CPU time: 0.052187 seconds
% 0.17/0.43 % Total memory used: 1.422 MB
% 0.17/0.43 % Net memory used: 1.391 MB
%------------------------------------------------------------------------------