%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV252-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 25.44s 3.71s
% Output : CNFRefutation 25.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 31 unt; 0 def)
% Number of atoms : 79 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 36 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 104 ( 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f111,axiom,
! [V_B,V_A,T_a] :
( V_A = V_B
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_B,V_A,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f112,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2630,axiom,
! [V_B,V_A,T_a] : c_union(c_minus(V_B,V_A,tc_set(T_a)),V_A,T_a) = c_union(V_B,V_A,T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2631,axiom,
! [V_A,V_B,T_a] : c_union(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_union(V_A,V_B,T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2645,axiom,
! [V_A,V_B,T_a,V_C] :
( c_lessequals(V_A,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2647,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(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/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(f2771,axiom,
! [V_A,V_B,T_a] : c_union(V_A,c_union(V_B,V_A,T_a),T_a) = c_union(V_B,V_A,T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2803,axiom,
! [V_H] : c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2814,axiom,
! [V_G,V_H] :
( c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2815,axiom,
! [V_G,V_H] :
( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2827,axiom,
! [V_H] : c_Message_Oparts(c_Message_Osynth(V_H)) = c_union(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2828,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2829,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2972,plain,
! [V_B,V_A] :
( V_A = V_B
| ! [T_a] :
( ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_B,V_A,tc_set(T_a)) ) ),
inference(miniscoping,[status(thm)],[f111]) ).
fof(f2973,plain,
! [X0,X1,X2] :
( X1 = X0
| ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(thm)],[f2972]) ).
fof(f2974,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f6039,plain,
! [X0,X1,X2] : c_union(c_minus(X0,X1,tc_set(X2)),X1,X2) = c_union(X0,X1,X2),
inference(cnf_transformation,[status(thm)],[f2630]) ).
fof(f6040,plain,
! [X0,X1,X2] : c_union(X0,c_minus(X1,X0,tc_set(X2)),X2) = c_union(X0,X1,X2),
inference(cnf_transformation,[status(thm)],[f2631]) ).
fof(f6059,plain,
! [V_A,T_a,V_C] :
( c_lessequals(V_A,V_C,tc_set(T_a))
| ! [V_B] : ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) ),
inference(miniscoping,[status(thm)],[f2645]) ).
fof(f6060,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X0,X3,tc_set(X2))
| ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
inference(cnf_transformation,[status(thm)],[f6059]) ).
fof(f6063,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)],[f2647]) ).
fof(f6123,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(f6216,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(f6220,plain,
! [X0,X1,X2] : c_union(X0,c_union(X1,X0,X2),X2) = c_union(X1,X0,X2),
inference(cnf_transformation,[status(thm)],[f2771]) ).
fof(f6260,plain,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[status(thm)],[f2803]) ).
fof(f6271,plain,
! [X0,X1] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f2814]) ).
fof(f6272,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f2815]) ).
fof(f6285,plain,
! [X0] : c_Message_Oparts(c_Message_Osynth(X0)) = c_union(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2827]) ).
fof(f6286,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2828]) ).
fof(f6287,plain,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f2829]) ).
fof(f6421,plain,
! [X0] : c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))) = c_union(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f6260,f6285]) ).
fof(f6606,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(resolution,[status(thm)],[f6060,f2974]) ).
fof(f6627,plain,
! [X0] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(X0)),tc_set(tc_Message_Omsg)),
inference(paramodulation,[status(thm)],[f6285,f6606]) ).
fof(f6632,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(paramodulation,[status(thm)],[f6220,f6606]) ).
fof(f6664,plain,
! [X0,X1,X2] : c_lessequals(c_minus(X0,X1,tc_set(X2)),c_union(X1,X0,X2),tc_set(X2)),
inference(paramodulation,[status(thm)],[f6040,f6632]) ).
fof(f6696,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
| ~ c_lessequals(c_minus(X3,X0,tc_set(X2)),X1,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(paramodulation,[status(thm)],[f6039,f6063]) ).
fof(f6765,plain,
! [X0] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),tc_set(tc_Message_Omsg)),
inference(paramodulation,[status(thm)],[f6260,f6627]) ).
fof(f9433,plain,
! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f6765,f6271]) ).
fof(f24991,plain,
! [X0,X1,X2] :
( c_lessequals(c_union(X1,X0,X2),c_union(X0,X1,X2),tc_set(X2))
| ~ c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)) ),
inference(resolution,[status(thm)],[f6696,f6664]) ).
fof(f25041,plain,
! [X0,X1,X2] : c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2)),
inference(forward_subsumption_resolution,[status(thm)],[f24991,f6606]) ).
fof(f25297,plain,
! [X0,X1,X2] :
( c_union(X1,X0,X2) = c_union(X0,X1,X2)
| ~ c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2)) ),
inference(resolution,[status(thm)],[f25041,f2973]) ).
fof(f25378,plain,
! [X0,X1,X2] : c_union(X0,X1,X2) = c_union(X1,X0,X2),
inference(forward_subsumption_resolution,[status(thm)],[f25297,f25041]) ).
fof(f25530,plain,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_H),c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(paramodulation,[status(thm)],[f25378,f6287]) ).
fof(f25900,plain,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)),
inference(forward_demodulation,[status(thm)],[f6421,f25530]) ).
fof(f27674,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f25900,f6272]) ).
fof(f27676,plain,
( ~ c_lessequals(v_H,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg))
| ~ c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f27674,f6123]) ).
fof(f27678,plain,
~ c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[f27676,f9433]) ).
fof(f27924,plain,
~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f27678,f6216]) ).
fof(f27926,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f27924,f6286]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV252-1 : 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 : n005.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 08:36:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.25/0.49 % Drodi V4.1.1
% 25.44/3.71 % Refutation found
% 25.44/3.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 25.44/3.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.85/3.98 % Elapsed time: 3.612262 seconds
% 2.85/3.98 % CPU time: 26.493825 seconds
% 2.85/3.98 % Total memory used: 646.270 MB
% 2.85/3.98 % Net memory used: 619.807 MB
%------------------------------------------------------------------------------