%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET840-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 02:12:42 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET840-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n015.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 05:43:56 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.37 % Drodi V4.1.1
% 0.14/5.44 % Refutation found
% 0.14/5.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.44 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.44 fof(f1,negated_conjecture,(
% 0.14/5.44 (![V_U]: (~ c_lessequals(v_S,c_insert(V_U,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))) ))),
% 0.14/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f2,negated_conjecture,(
% 0.14/5.44 (![V_U]: (( c_lessequals(c_Union(v_S,t_b),V_U,tc_set(t_b))| ~ c_in(V_U,v_S,tc_set(t_b)) ) ))),
% 0.14/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f3,axiom,(
% 0.14/5.44 (![V_A,V_X,T_a,V_C]: (( ~ c_in(V_A,V_X,T_a)| ~ c_in(V_X,V_C,tc_set(T_a))| c_in(V_A,c_Union(V_C,T_a),T_a) ) ))),
% 0.14/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f5,axiom,(
% 0.14/5.44 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 0.14/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f7,axiom,(
% 0.14/5.44 (![V_A,V_B,T_a]: (( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 0.14/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f8,axiom,(
% 0.14/5.44 (![V_A,V_B,T_a]: (( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 0.14/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f9,axiom,(
% 0.14/5.44 (![V_B,V_A,T_a]: (( ~ c_lessequals(V_B,V_A,tc_set(T_a))| ~ c_lessequals(V_A,V_B,tc_set(T_a))| V_A = V_B ) ))),
% 0.14/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f10,plain,(
% 0.14/5.44 ![X0]: (~c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.44 fof(f11,plain,(
% 0.14/5.44 ![X0]: (c_lessequals(c_Union(v_S,t_b),X0,tc_set(t_b))|~c_in(X0,v_S,tc_set(t_b)))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.44 fof(f12,plain,(
% 0.14/5.44 ![V_A,T_a,V_C]: ((![V_X]: (~c_in(V_A,V_X,T_a)|~c_in(V_X,V_C,tc_set(T_a))))|c_in(V_A,c_Union(V_C,T_a),T_a))),
% 0.14/5.44 inference(miniscoping,[status(thm)],[f3])).
% 0.14/5.44 fof(f13,plain,(
% 0.14/5.44 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_in(X1,X3,tc_set(X2))|c_in(X0,c_Union(X3,X2),X2))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/5.44 fof(f16,plain,(
% 0.14/5.44 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.44 fof(f19,plain,(
% 0.14/5.44 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/5.44 fof(f20,plain,(
% 0.14/5.44 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/5.44 fof(f21,plain,(
% 0.14/5.44 ![V_B,V_A]: ((![T_a]: (~c_lessequals(V_B,V_A,tc_set(T_a))|~c_lessequals(V_A,V_B,tc_set(T_a))))|V_A=V_B)),
% 0.14/5.44 inference(miniscoping,[status(thm)],[f9])).
% 0.14/5.44 fof(f22,plain,(
% 0.14/5.44 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/5.44 fof(f32,plain,(
% 0.14/5.44 ![X0]: (c_lessequals(v_S,X0,tc_set(tc_set(t_b)))|c_lessequals(c_Union(v_S,t_b),c_Main_OsubsetI__1(v_S,X0,tc_set(t_b)),tc_set(t_b)))),
% 0.14/5.44 inference(resolution,[status(thm)],[f19,f11])).
% 0.14/5.44 fof(f33,plain,(
% 0.14/5.44 ![X0,X1,X2,X3]: (c_lessequals(X0,X1,tc_set(tc_set(X2)))|~c_in(X3,c_Main_OsubsetI__1(X0,X1,tc_set(X2)),X2)|c_in(X3,c_Union(X0,X2),X2))),
% 0.14/5.44 inference(resolution,[status(thm)],[f19,f13])).
% 0.14/5.44 fof(f46,plain,(
% 0.14/5.44 ![X0]: (c_lessequals(v_S,X0,tc_set(tc_set(t_b)))|~c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_b)),c_Union(v_S,t_b),tc_set(t_b))|c_Union(v_S,t_b)=c_Main_OsubsetI__1(v_S,X0,tc_set(t_b)))),
% 0.14/5.44 inference(resolution,[status(thm)],[f32,f22])).
% 0.14/5.44 fof(f48,plain,(
% 0.14/5.44 ![X0,X1,X2,X3]: (c_lessequals(X0,X1,tc_set(tc_set(X2)))|c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(X0,X1,tc_set(X2)),X3,X2),c_Union(X0,X2),X2)|c_lessequals(c_Main_OsubsetI__1(X0,X1,tc_set(X2)),X3,tc_set(X2)))),
% 0.14/5.44 inference(resolution,[status(thm)],[f33,f19])).
% 0.14/5.44 fof(f144,plain,(
% 0.14/5.44 ![X0,X1,X2]: (c_lessequals(X0,X1,tc_set(tc_set(X2)))|c_lessequals(c_Main_OsubsetI__1(X0,X1,tc_set(X2)),c_Union(X0,X2),tc_set(X2))|c_lessequals(c_Main_OsubsetI__1(X0,X1,tc_set(X2)),c_Union(X0,X2),tc_set(X2)))),
% 0.14/5.44 inference(resolution,[status(thm)],[f48,f20])).
% 0.14/5.44 fof(f151,plain,(
% 0.14/5.44 ![X0]: (c_lessequals(v_S,X0,tc_set(tc_set(t_b)))|c_Union(v_S,t_b)=c_Main_OsubsetI__1(v_S,X0,tc_set(t_b)))),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f46,f152])).
% 0.14/5.44 fof(f152,plain,(
% 0.14/5.44 ![X0,X1,X2]: (c_lessequals(X0,X1,tc_set(tc_set(X2)))|c_lessequals(c_Main_OsubsetI__1(X0,X1,tc_set(X2)),c_Union(X0,X2),tc_set(X2)))),
% 0.14/5.44 inference(duplicate_literals_removal,[status(thm)],[f144])).
% 0.14/5.44 fof(f158,plain,(
% 0.14/5.44 ![X0]: (c_Union(v_S,t_b)=c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)))),
% 0.14/5.44 inference(resolution,[status(thm)],[f151,f10])).
% 0.14/5.44 fof(f169,plain,(
% 0.14/5.44 ![X0]: (~c_in(c_Union(v_S,t_b),c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b))|c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))))),
% 0.14/5.44 inference(paramodulation,[status(thm)],[f158,f20])).
% 0.14/5.44 fof(f197,plain,(
% 0.14/5.44 ![X0]: (~c_in(c_Union(v_S,t_b),c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)))),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f169,f10])).
% 0.14/5.44 fof(f496,plain,(
% 0.14/5.44 $false),
% 0.14/5.44 inference(resolution,[status(thm)],[f197,f16])).
% 0.14/5.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.47 % Elapsed time: 0.108982 seconds
% 0.14/5.47 % CPU time: 0.514533 seconds
% 0.14/5.47 % Total memory used: 89.080 MB
% 0.14/5.47 % Net memory used: 88.350 MB
%------------------------------------------------------------------------------