%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV253-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 02:47:01 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.52s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 3 unt; 2 def)
% Number of atoms : 44 ( 19 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 40 ( 18 ~; 20 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2738,axiom,
! [V_y] : c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2757,negated_conjecture,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| v_K != v_K_H ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2758,negated_conjecture,
( v_K = v_K_H
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6110,plain,
! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f2738]) ).
fof(f6133,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| v_K != v_K_H ),
inference(cnf_transformation,[status(thm)],[f2757]) ).
fof(f6134,plain,
( v_K = v_K_H
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
inference(cnf_transformation,[status(thm)],[f2758]) ).
fof(f6143,definition,
( sQ2_spl
<=> v_K = v_K_H ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f6144,plain,
( ~ sQ2_spl
| v_K = v_K_H ),
inference(component_clause,[status(thm)],[f6143]) ).
fof(f6145,plain,
( sQ2_spl
| v_K != v_K_H ),
inference(component_clause,[status(thm)],[f6143]) ).
fof(f6146,definition,
( sQ3_spl
<=> c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f6147,plain,
( ~ sQ3_spl
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
inference(component_clause,[status(thm)],[f6146]) ).
fof(f6148,plain,
( sQ3_spl
| c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) ),
inference(component_clause,[status(thm)],[f6146]) ).
fof(f6149,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f6133,f6143,f6146]) ).
fof(f6150,plain,
( sQ2_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f6134,f6146,f6143]) ).
fof(f6153,plain,
( ~ sQ3_spl
| c_Message_OinvKey(c_Message_OinvKey(v_K_H)) = v_K ),
inference(paramodulation,[status(thm)],[f6147,f6110]) ).
fof(f6154,plain,
( ~ sQ3_spl
| v_K_H = v_K ),
inference(forward_demodulation,[status(thm)],[f6110,f6153]) ).
fof(f6155,plain,
( ~ sQ3_spl
| sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6154,f6145]) ).
fof(f6156,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f6155]) ).
fof(f6157,plain,
( sQ3_spl
| ~ sQ2_spl
| c_Message_OinvKey(v_K_H) != c_Message_OinvKey(v_K_H) ),
inference(forward_demodulation,[status(thm)],[f6144,f6148]) ).
fof(f6158,plain,
( sQ3_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6157]) ).
fof(f6159,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f6158]) ).
fof(f6160,plain,
$false,
inference(sat_refutation,[status(thm)],[f6149,f6150,f6156,f6159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV253-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 08:36:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.22/0.49 % Drodi V4.1.1
% 0.22/0.52 % Refutation found
% 0.22/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.60 % Elapsed time: 0.218311 seconds
% 0.22/0.60 % CPU time: 0.428524 seconds
% 0.22/0.60 % Total memory used: 209.869 MB
% 0.22/0.60 % Net memory used: 208.860 MB
%------------------------------------------------------------------------------