%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV253-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 0.13s 0.38s
% Output : CNFRefutation 0.13s
% 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(f1,negated_conjecture,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| v_K != v_K_H ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( v_K = v_K_H
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_y] : c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| v_K != v_K_H ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
( v_K = v_K_H
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,definition,
( sQ0_spl
<=> v_K = v_K_H ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f8,plain,
( ~ sQ0_spl
| v_K = v_K_H ),
inference(component_clause,[status(thm)],[f7]) ).
fof(f9,plain,
( sQ0_spl
| v_K != v_K_H ),
inference(component_clause,[status(thm)],[f7]) ).
fof(f10,definition,
( sQ1_spl
<=> c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f11,plain,
( ~ sQ1_spl
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
inference(component_clause,[status(thm)],[f10]) ).
fof(f12,plain,
( sQ1_spl
| c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) ),
inference(component_clause,[status(thm)],[f10]) ).
fof(f13,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f4,f7,f10]) ).
fof(f14,plain,
( sQ0_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f5,f10,f7]) ).
fof(f16,plain,
( ~ sQ1_spl
| c_Message_OinvKey(c_Message_OinvKey(v_K_H)) = v_K ),
inference(paramodulation,[status(thm)],[f11,f6]) ).
fof(f17,plain,
( ~ sQ1_spl
| v_K_H = v_K ),
inference(forward_demodulation,[status(thm)],[f6,f16]) ).
fof(f18,plain,
( ~ sQ1_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17,f9]) ).
fof(f19,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f18]) ).
fof(f20,plain,
( sQ1_spl
| ~ sQ0_spl
| c_Message_OinvKey(v_K_H) != c_Message_OinvKey(v_K_H) ),
inference(forward_demodulation,[status(thm)],[f8,f12]) ).
fof(f21,plain,
( sQ1_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f20]) ).
fof(f22,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f21]) ).
fof(f23,plain,
$false,
inference(sat_refutation,[status(thm)],[f13,f14,f19,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV253-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n026.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 08:39:07 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.040049 seconds
% 0.13/0.41 % CPU time: 0.073409 seconds
% 0.13/0.41 % Total memory used: 3.155 MB
% 0.13/0.41 % Net memory used: 3.143 MB
%------------------------------------------------------------------------------