%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KLE003+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 12:57:42 PM UTC 2026
% Result : Theorem 0.08s 5.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 8 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 8 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A] : addition(A,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,conjecture,
( ! [X0] : addition(X0,X0) = X0
<=> addition(one,one) = one ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
~ ( ! [X0] : addition(X0,X0) = X0
<=> addition(one,one) = one ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f18,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f30,plain,
( ! [X0] : addition(X0,X0) = X0
<~> addition(one,one) = one ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f31,plain,
( ( addition(one,one) != one
| ? [X0] : addition(X0,X0) != X0 )
& ( addition(one,one) = one
| ! [X0] : addition(X0,X0) = X0 ) ),
inference(NNF_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
( ( addition(one,one) != one
| addition(sK0_skl,sK0_skl) != sK0_skl )
& ( addition(one,one) = one
| ! [X0] : addition(X0,X0) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f31]) ).
fof(f33,plain,
! [X0] :
( addition(one,one) = one
| addition(X0,X0) = X0 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
( addition(one,one) != one
| addition(sK0_skl,sK0_skl) != sK0_skl ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f35,plain,
( addition(one,one) = one
| one != one ),
inference(equality_factoring,[status(thm)],[f33]) ).
fof(f37,plain,
addition(one,one) = one,
inference(trivial_equality_resolution,[status(thm)],[f35]) ).
fof(f39,plain,
( one != one
| addition(sK0_skl,sK0_skl) != sK0_skl ),
inference(forward_demodulation,[status(thm)],[f37,f34]) ).
fof(f40,plain,
addition(sK0_skl,sK0_skl) != sK0_skl,
inference(trivial_equality_resolution,[status(thm)],[f39]) ).
fof(f47,plain,
sK0_skl != sK0_skl,
inference(backward_demodulation,[status(thm)],[f18,f40]) ).
fof(f49,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE003+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.35 % Computer : n001.cluster.edu
% 0.08/5.35 % Model : x86_64 x86_64
% 0.08/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.35 % Memory : 8046.5625MB
% 0.08/5.35 % OS : Linux 6.8.0-71-generic
% 0.08/5.35 % CPULimit : 300
% 0.08/5.35 % WCLimit : 300
% 0.08/5.35 % DateTime : Sun Sep 20 22:43:18 UTC 2026
% 0.08/5.35 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.08/5.39 % Refutation found
% 0.08/5.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/5.42 % Elapsed time: 0.055700 seconds
% 0.11/5.42 % CPU time: 0.153938 seconds
% 0.11/5.42 % Total memory used: 101.358 MB
% 0.11/5.42 % Net memory used: 100.912 MB
%------------------------------------------------------------------------------