%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV248-1 : 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 02:47:00 PM UTC 2026
% Result : Unsatisfiable 0.85s 0.59s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 51 ( 6 unt; 4 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 90 ( 41 ~; 45 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f109,axiom,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f110,axiom,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1326,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(f1327,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(f1377,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1395,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1398,axiom,
! [V_G,V_H] :
( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1400,axiom,
! [V_B,V_C,T_a,V_A] :
( c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_C,tc_set(T_a))
| ~ c_lessequals(V_B,V_C,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1401,negated_conjecture,
~ c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1542,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f1543,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f2829,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)],[f1326]) ).
fof(f2830,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f2829]) ).
fof(f2831,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)],[f1327]) ).
fof(f2832,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f2831]) ).
fof(f2902,plain,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f1377]) ).
fof(f2925,plain,
! [X0,X1] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f1395]) ).
fof(f2928,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f1398]) ).
fof(f2930,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(thm)],[f1400]) ).
fof(f2931,plain,
~ c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f1401]) ).
fof(f2937,plain,
( ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f2930,f2931]) ).
fof(f2939,definition,
( sQ0_spl
<=> c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f2941,plain,
( sQ0_spl
| ~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f2939]) ).
fof(f2942,definition,
( sQ1_spl
<=> c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f2944,plain,
( sQ1_spl
| ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f2942]) ).
fof(f2945,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2937,f2939,f2942]) ).
fof(f2964,plain,
( sQ0_spl
| ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f1543,f2941]) ).
fof(f2974,plain,
( sQ0_spl
| ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f2964,f2902]) ).
fof(f2980,plain,
( sQ0_spl
| ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f2974,f2832]) ).
fof(f2992,plain,
( sQ0_spl
| c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f2980,f1542]) ).
fof(f3000,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2992,f2941]) ).
fof(f3001,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f3000]) ).
fof(f3002,plain,
( sQ1_spl
| ~ c_lessequals(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f2944,f2928]) ).
fof(f3019,plain,
( sQ1_spl
| ~ c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f3002,f2930]) ).
fof(f3022,definition,
( sQ5_spl
<=> c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f3024,plain,
( sQ5_spl
| ~ c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f3022]) ).
fof(f3025,definition,
( sQ6_spl
<=> c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f3027,plain,
( sQ6_spl
| ~ c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f3025]) ).
fof(f3028,plain,
( sQ1_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3019,f3022,f3025,f2942]) ).
fof(f3029,plain,
( sQ5_spl
| ~ c_in(c_Main_OsubsetI__1(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3024,f1543]) ).
fof(f3050,plain,
( sQ5_spl
| ~ c_in(c_Main_OsubsetI__1(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3029,f2830]) ).
fof(f3056,plain,
( sQ5_spl
| c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f3050,f1542]) ).
fof(f3062,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3056,f3024]) ).
fof(f3063,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f3062]) ).
fof(f3064,plain,
( sQ6_spl
| ~ c_in(c_Main_OsubsetI__1(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3027,f1543]) ).
fof(f3158,plain,
( sQ6_spl
| ~ c_in(c_Main_OsubsetI__1(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3064,f2832]) ).
fof(f3171,plain,
( sQ6_spl
| ~ c_in(c_Main_OsubsetI__1(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),v_G,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3158,f2925]) ).
fof(f3177,plain,
( sQ6_spl
| c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f3171,f1542]) ).
fof(f3183,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3177,f3027]) ).
fof(f3184,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f3183]) ).
fof(f3185,plain,
$false,
inference(sat_refutation,[status(thm)],[f2945,f3001,f3028,f3063,f3184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV248-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n001.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 08:41:44 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.13/0.44 % Drodi V4.1.1
% 0.85/0.59 % Refutation found
% 0.85/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.85/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.85/0.65 % Elapsed time: 0.268869 seconds
% 0.85/0.65 % CPU time: 1.269112 seconds
% 0.85/0.65 % Total memory used: 165.900 MB
% 0.85/0.65 % Net memory used: 165.031 MB
%------------------------------------------------------------------------------