%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KLE057+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 : n016.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 12:57:53 PM UTC 2026
% Result : Theorem 0.10s 5.47s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 0 =>; 2 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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; 0-1 aty)
% Number of variables : 3 ( 2 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
! [X0] :
( domain(X0) = zero
<= X0 = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ! [X0] :
( domain(X0) = zero
<= X0 = zero ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f38,plain,
domain(zero) = zero,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f40,plain,
? [X0] :
( X0 = zero
& domain(X0) != zero ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f41,plain,
( sK0_skl = zero
& domain(sK0_skl) != zero ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f40]) ).
fof(f42,plain,
domain(sK0_skl) != zero,
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
sK0_skl = zero,
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f44,plain,
domain(sK0_skl) != sK0_skl,
inference(backward_demodulation,[status(thm)],[f43,f42]) ).
fof(f45,plain,
domain(zero) = sK0_skl,
inference(backward_demodulation,[status(thm)],[f43,f38]) ).
fof(f49,plain,
domain(sK0_skl) = sK0_skl,
inference(forward_demodulation,[status(thm)],[f43,f45]) ).
fof(f50,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f49,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE057+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.42 % Computer : n016.cluster.edu
% 0.10/5.42 % Model : x86_64 x86_64
% 0.10/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.42 % Memory : 8046.5625MB
% 0.10/5.42 % OS : Linux 6.8.0-71-generic
% 0.10/5.43 % CPULimit : 300
% 0.10/5.43 % WCLimit : 300
% 0.10/5.43 % DateTime : Sun Sep 20 22:46:13 UTC 2026
% 0.10/5.43 % CPUTime :
% 0.10/5.44 % Drodi V4.1.1
% 0.10/5.47 % Refutation found
% 0.10/5.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/5.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/5.48 % Elapsed time: 0.049264 seconds
% 0.10/5.48 % CPU time: 0.142334 seconds
% 0.10/5.48 % Total memory used: 66.609 MB
% 0.10/5.48 % Net memory used: 66.248 MB
%------------------------------------------------------------------------------