%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET845-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 02:10:47 PM UTC 2026
% Result : Unsatisfiable 0.16s 5.67s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 55 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 24 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f173,axiom,
! [V_A,V_X,T_a,V_C] :
( c_in(V_A,c_Union(V_C,T_a),T_a)
| ~ c_in(V_X,V_C,tc_set(T_a))
| ~ c_in(V_A,V_X,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f307,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(f308,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(f309,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(f1361,axiom,
! [V_x,V_S,T_a] : c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1362,axiom,
! [V_x,V_S,T_a] :
( c_in(c_Zorn_Osucc(V_S,V_x,T_a),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| ~ c_in(V_x,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1365,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1366,negated_conjecture,
v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1367,negated_conjecture,
v_m != c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1605,plain,
! [V_A,T_a,V_C] :
( c_in(V_A,c_Union(V_C,T_a),T_a)
| ! [V_X] :
( ~ c_in(V_X,V_C,tc_set(T_a))
| ~ c_in(V_A,V_X,T_a) ) ),
inference(miniscoping,[status(thm)],[f173]) ).
fof(f1606,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_Union(X3,X2),X2)
| ~ c_in(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f1605]) ).
fof(f1782,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)],[f307]) ).
fof(f1783,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)],[f308]) ).
fof(f1784,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)],[f309]) ).
fof(f1785,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)],[f1784]) ).
fof(f2846,plain,
! [X0,X1,X2] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
inference(cnf_transformation,[status(thm)],[f1361]) ).
fof(f2847,plain,
! [X0,X1,X2] :
( c_in(c_Zorn_Osucc(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
inference(cnf_transformation,[status(thm)],[f1362]) ).
fof(f2851,plain,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(thm)],[f1365]) ).
fof(f2852,plain,
v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
inference(cnf_transformation,[status(thm)],[f1366]) ).
fof(f2853,plain,
v_m != c_Zorn_Osucc(v_S,v_m,t_a),
inference(cnf_transformation,[status(thm)],[f1367]) ).
fof(f2856,plain,
! [X0,X1] :
( c_in(X0,v_m,tc_set(t_a))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,X1,tc_set(t_a)) ),
inference(paramodulation,[status(thm)],[f2852,f1606]) ).
fof(f2861,plain,
! [X0,X1] :
( ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(X0,v_m,tc_set(t_a))
| ~ c_in(X0,c_Zorn_Osucc(v_S,X1,t_a),tc_set(t_a)) ),
inference(resolution,[status(thm)],[f2856,f2847]) ).
fof(f2865,plain,
! [X0] :
( c_in(X0,v_m,tc_set(t_a))
| ~ c_in(X0,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(t_a)) ),
inference(resolution,[status(thm)],[f2861,f2851]) ).
fof(f4553,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(t_a)),v_m,tc_set(t_a))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f1782,f2865]) ).
fof(f4730,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f4553,f1783]) ).
fof(f4732,plain,
c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a))),
inference(duplicate_literals_removal,[status(thm)],[f4730]) ).
fof(f4747,plain,
( c_Zorn_Osucc(v_S,v_m,t_a) = v_m
| ~ c_lessequals(v_m,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f4732,f1785]) ).
fof(f4750,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = v_m,
inference(forward_subsumption_resolution,[status(thm)],[f4747,f2846]) ).
fof(f4752,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4750,f2853]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET845-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n006.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 05:41:18 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.16/5.42 % Drodi V4.1.1
% 0.16/5.67 % Refutation found
% 0.16/5.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/5.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/5.70 % Elapsed time: 0.312237 seconds
% 0.16/5.70 % CPU time: 2.004547 seconds
% 0.16/5.70 % Total memory used: 199.852 MB
% 0.16/5.70 % Net memory used: 197.799 MB
%------------------------------------------------------------------------------