%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET864-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 02:12:47 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET864-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:45:31 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1359,axiom,(
% 0.13/0.42 (![V_u,V_S,T_a,V_c]: (( ~ c_in(V_u,V_S,tc_set(T_a))| ~ c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_lessequals(c_Union(V_c,T_a),V_u,tc_set(T_a))| c_Union(V_c,T_a) = V_u ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f1361,negated_conjecture,(
% 0.13/0.42 c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f1363,negated_conjecture,(
% 0.13/0.42 c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f1364,negated_conjecture,(
% 0.13/0.42 (![V_U]: (( c_in(v_x(V_U),v_S,tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f1365,negated_conjecture,(
% 0.13/0.42 (![V_U]: (( c_lessequals(V_U,v_x(V_U),tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f1366,negated_conjecture,(
% 0.13/0.42 (![V_U]: (( V_U != v_x(V_U)| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f2843,plain,(
% 0.13/0.42 ![V_u,T_a,V_c]: (((![V_S]: (~c_in(V_u,V_S,tc_set(T_a))|~c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a)))))|~c_lessequals(c_Union(V_c,T_a),V_u,tc_set(T_a)))|c_Union(V_c,T_a)=V_u)),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f1359])).
% 0.13/0.42 fof(f2844,plain,(
% 0.13/0.42 ![X0,X1,X2,X3]: (~c_in(X0,X1,tc_set(X2))|~c_in(X3,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Union(X3,X2),X0,tc_set(X2))|c_Union(X3,X2)=X0)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f2843])).
% 0.13/0.42 fof(f2846,plain,(
% 0.13/0.42 c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1361])).
% 0.13/0.42 fof(f2848,plain,(
% 0.13/0.42 c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1363])).
% 0.13/0.42 fof(f2849,plain,(
% 0.13/0.42 ![X0]: (c_in(v_x(X0),v_S,tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1364])).
% 0.13/0.42 fof(f2850,plain,(
% 0.13/0.42 ![X0]: (c_lessequals(X0,v_x(X0),tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1365])).
% 0.13/0.42 fof(f2851,plain,(
% 0.13/0.42 ![X0]: (~X0=v_x(X0)|~c_in(X0,v_S,tc_set(t_a)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1366])).
% 0.13/0.42 fof(f2852,plain,(
% 0.13/0.42 ~c_Union(v_c,t_a)=v_x(c_Union(v_c,t_a))),
% 0.13/0.42 inference(resolution,[status(thm)],[f2848,f2851])).
% 0.13/0.42 fof(f2865,plain,(
% 0.13/0.42 c_lessequals(c_Union(v_c,t_a),v_x(c_Union(v_c,t_a)),tc_set(t_a))),
% 0.13/0.42 inference(resolution,[status(thm)],[f2850,f2848])).
% 0.13/0.42 fof(f2873,plain,(
% 0.13/0.42 ![X0]: (~c_in(v_x(c_Union(v_c,t_a)),X0,tc_set(t_a))|~c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))|c_Union(v_c,t_a)=v_x(c_Union(v_c,t_a)))),
% 0.13/0.42 inference(resolution,[status(thm)],[f2865,f2844])).
% 0.13/0.42 fof(f2876,plain,(
% 0.13/0.42 ![X0]: (~c_in(v_x(c_Union(v_c,t_a)),X0,tc_set(t_a))|~c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a))))),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2873,f2852])).
% 0.13/0.42 fof(f2904,plain,(
% 0.13/0.42 ~c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))),
% 0.13/0.42 inference(resolution,[status(thm)],[f2876,f2846])).
% 0.13/0.42 fof(f2908,plain,(
% 0.13/0.42 ~c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))),
% 0.13/0.42 inference(resolution,[status(thm)],[f2904,f2849])).
% 0.13/0.42 fof(f2909,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2908,f2848])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.090175 seconds
% 0.13/0.45 % CPU time: 0.201785 seconds
% 0.13/0.45 % Total memory used: 99.414 MB
% 0.13/0.45 % Net memory used: 99.147 MB
%------------------------------------------------------------------------------