%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV250-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 4.97s 6.39s
% Output : CNFRefutation 4.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 16 unt; 0 def)
% Number of atoms : 47 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f2823,axiom,
! [V_G,V_H] : c_Message_Oanalz(c_union(c_Message_Oanalz(V_G),V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2832,negated_conjecture,
~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6042,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(f6043,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(f6054,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(f6055,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)],[f6054]) ).
fof(f6056,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(f6057,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f6056]) ).
fof(f6058,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(f6059,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f6058]) ).
fof(f6283,plain,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f2823]) ).
fof(f6286,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(f6291,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(f6292,plain,
~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2832]) ).
fof(f6424,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X2,X1,X3),X3)
| ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) ),
inference(paramodulation,[status(thm)],[f6043,f6059]) ).
fof(f6478,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
| c_in(X0,X2,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
inference(paramodulation,[status(thm)],[f6042,f6055]) ).
fof(f7193,plain,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(X0)),X1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f6283,f6286]) ).
fof(f8048,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X2,X1,X3),X3)
| c_in(X0,X2,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
inference(resolution,[status(thm)],[f6478,f6424]) ).
fof(f8051,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X2,X1,X3),X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f8048,f6057]) ).
fof(f8105,plain,
~ c_in(v_x,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[status(thm)],[f8051,f6292]) ).
fof(f13231,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(backward_demodulation,[status(thm)],[f7193,f8105]) ).
fof(f13311,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f13231,f6291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV250-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.45 % Computer : n017.cluster.edu
% 0.19/5.45 % Model : x86_64 x86_64
% 0.19/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.45 % Memory : 8046.5625MB
% 0.19/5.45 % OS : Linux 6.8.0-71-generic
% 0.19/5.45 % CPULimit : 300
% 0.19/5.45 % WCLimit : 300
% 0.19/5.45 % DateTime : Mon Sep 21 08:31:32 UTC 2026
% 0.19/5.45 % CPUTime :
% 0.23/5.65 % Drodi V4.1.1
% 4.97/6.39 % Refutation found
% 4.97/6.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.97/6.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.70/6.44 % Elapsed time: 0.977518 seconds
% 2.70/6.44 % CPU time: 6.041747 seconds
% 2.70/6.44 % Total memory used: 287.262 MB
% 2.70/6.44 % Net memory used: 283.714 MB
%------------------------------------------------------------------------------