%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV251-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 58.83s 8.18s
% Output : CNFRefutation 58.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 17 unt; 2 def)
% Number of atoms : 75 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 66 ( 34 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,axiom,
! [V_c,V_A,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f2646,axiom,
! [V_A,V_B,T_a,V_C] :
( c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2690,axiom,
! [V_x,V_B,T_a,V_A] :
( c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_x,V_B,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2800,axiom,
! [V_G,V_H] :
( c_lessequals(V_G,c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2801,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,c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2826,axiom,
! [V_G,V_H] : c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2829,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2830,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2831,negated_conjecture,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2970,plain,
! [V_c,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ! [V_A] :
( ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f2971,plain,
! [X0,X1,X2,X3] :
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f2970]) ).
fof(f2976,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f6057,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(f6058,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f6057]) ).
fof(f6063,plain,
! [V_B,T_a,V_C] :
( c_lessequals(V_B,V_C,tc_set(T_a))
| ! [V_A] : ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) ),
inference(miniscoping,[status(thm)],[f2646]) ).
fof(f6064,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X1,X3,tc_set(X2))
| ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
inference(cnf_transformation,[status(thm)],[f6063]) ).
fof(f6125,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f2690]) ).
fof(f6258,plain,
! [X0,X1] :
( c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f2800]) ).
fof(f6259,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f2801]) ).
fof(f6285,plain,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2826]) ).
fof(f6288,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2829]) ).
fof(f6289,plain,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2830]) ).
fof(f6290,plain,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2831]) ).
fof(f6913,plain,
! [X0,X1,X2] :
( c_in(X0,c_Message_Oanalz(c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f6285,f6058]) ).
fof(f11802,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
| c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f2971,f6259]) ).
fof(f11948,plain,
! [X0] : c_lessequals(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f2976,f6258]) ).
fof(f12019,plain,
! [X0,X1] : c_lessequals(X0,c_Message_Oanalz(c_union(X1,X0,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f11948,f6064]) ).
fof(f19844,plain,
! [X0] : c_in(v_X,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f6913,f6288]) ).
fof(f28775,plain,
! [X0] :
( ~ c_lessequals(X0,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(v_x,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f11802,f6290]) ).
fof(f29051,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f28775,f6289]) ).
fof(f36823,plain,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(v_X,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f29051,f6125]) ).
fof(f36830,definition,
( sQ329_spl
<=> c_in(v_X,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f36832,plain,
( sQ329_spl
| ~ c_in(v_X,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f36830]) ).
fof(f36833,definition,
( sQ330_spl
<=> c_lessequals(v_H,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f36835,plain,
( sQ330_spl
| ~ c_lessequals(v_H,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f36833]) ).
fof(f36836,plain,
( ~ sQ330_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f36823,f36830,f36833]) ).
fof(f36839,plain,
( sQ329_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f36832,f19844]) ).
fof(f36840,plain,
sQ329_spl,
inference(contradiction_clause,[status(thm)],[f36839]) ).
fof(f36841,plain,
( sQ330_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f36835,f12019]) ).
fof(f36842,plain,
sQ330_spl,
inference(contradiction_clause,[status(thm)],[f36841]) ).
fof(f36843,plain,
$false,
inference(sat_refutation,[status(thm)],[f36836,f36840,f36842]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV251-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 % Computer : n014.cluster.edu
% 0.20/0.48 % Model : x86_64 x86_64
% 0.20/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.48 % Memory : 8046.5625MB
% 0.20/0.48 % OS : Linux 6.8.0-71-generic
% 0.20/0.48 % CPULimit : 300
% 0.20/0.48 % WCLimit : 300
% 0.20/0.48 % DateTime : Mon Sep 21 08:36:04 UTC 2026
% 0.20/0.49 % CPUTime :
% 0.40/0.69 % Drodi V4.1.1
% 58.83/8.18 % Refutation found
% 58.83/8.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 58.83/8.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.07/8.88 % Elapsed time: 8.371430 seconds
% 5.07/8.88 % CPU time: 60.657154 seconds
% 5.07/8.88 % Total memory used: 749.417 MB
% 5.07/8.88 % Net memory used: 718.551 MB
%------------------------------------------------------------------------------