%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV272-1 : TPTP v9.3.1. Released v3.2.0.
% 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 02:47:06 PM UTC 2026
% Result : Unsatisfiable 0.35s 0.63s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 9 unt; 4 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 78 ( 35 ~; 39 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2640,axiom,
! [V_c,V_A,V_B,T_a] :
( c_in(V_c,V_A,T_a)
| c_in(V_c,V_B,T_a)
| ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2641,axiom,
! [V_c,V_A,T_a,V_B] :
( c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2642,axiom,
! [V_c,V_B,T_a,V_A] :
( c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_B,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2767,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2773,axiom,
! [V_K,V_X,V_H] :
( c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2823,axiom,
! [V_K,V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2827,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2828,negated_conjecture,
~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6050,plain,
! [V_c,V_A,T_a] :
( c_in(V_c,V_A,T_a)
| ! [V_B] :
( c_in(V_c,V_B,T_a)
| ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ),
inference(miniscoping,[status(thm)],[f2640]) ).
fof(f6051,plain,
! [X0,X1,X2,X3] :
( c_in(X0,X1,X3)
| c_in(X0,X2,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
inference(cnf_transformation,[status(thm)],[f6050]) ).
fof(f6052,plain,
! [V_c,V_A,T_a] :
( ! [V_B] : c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_A,T_a) ),
inference(miniscoping,[status(thm)],[f2641]) ).
fof(f6053,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f6052]) ).
fof(f6054,plain,
! [V_c,V_B,T_a] :
( ! [V_A] : c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_B,T_a) ),
inference(miniscoping,[status(thm)],[f2642]) ).
fof(f6055,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f6054]) ).
fof(f6215,plain,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2767]) ).
fof(f6221,plain,
! [X0,X1,X2] :
( c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2773]) ).
fof(f6279,plain,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ! [V_K] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(thm)],[f2823]) ).
fof(f6280,plain,
! [X0,X1,X2] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f6279]) ).
fof(f6284,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2827]) ).
fof(f6285,plain,
~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2828]) ).
fof(f6424,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6051,f6284]) ).
fof(f6434,definition,
( sQ6_spl
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f6435,plain,
( ~ sQ6_spl
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f6434]) ).
fof(f6437,definition,
( sQ7_spl
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f6438,plain,
( ~ sQ7_spl
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f6437]) ).
fof(f6439,plain,
( sQ7_spl
| ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f6437]) ).
fof(f6440,plain,
( sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f6424,f6434,f6437]) ).
fof(f6442,plain,
~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[f6053,f6285]) ).
fof(f6453,plain,
~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[f6055,f6285]) ).
fof(f6670,plain,
( ~ sQ6_spl
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6221,f6435]) ).
fof(f6671,definition,
( sQ8_spl
<=> c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f6672,plain,
( ~ sQ8_spl
| c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f6671]) ).
fof(f6674,definition,
( sQ9_spl
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f6675,plain,
( ~ sQ9_spl
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f6674]) ).
fof(f6677,plain,
( ~ sQ6_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f6670,f6671,f6674,f6434]) ).
fof(f6849,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6453,f6672]) ).
fof(f6850,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f6849]) ).
fof(f6857,plain,
( ~ sQ7_spl
| c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6438,f6280]) ).
fof(f6859,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6857,f6442]) ).
fof(f6860,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f6859]) ).
fof(f6958,plain,
( sQ7_spl
| ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6439,f6215]) ).
fof(f6959,plain,
( sQ7_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6958,f6675]) ).
fof(f6960,plain,
( sQ7_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f6959]) ).
fof(f6961,plain,
$false,
inference(sat_refutation,[status(thm)],[f6440,f6677,f6850,f6860,f6960]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV272-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n001.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 08:43:00 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.28/0.57 % Drodi V4.1.1
% 0.35/0.63 % Refutation found
% 0.35/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.35/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.35/0.68 % Elapsed time: 0.229507 seconds
% 0.35/0.68 % CPU time: 0.574210 seconds
% 0.35/0.68 % Total memory used: 223.037 MB
% 0.35/0.68 % Net memory used: 222.184 MB
%------------------------------------------------------------------------------