%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET834-2 : 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 : n014.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 02:12:41 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET834-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n014.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 05:40:35 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,axiom,(
% 0.12/0.37 (![V_c,V_B,T_a,V_A]: (( ~ c_in(V_c,V_B,T_a)| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,axiom,(
% 0.12/0.37 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f3,axiom,(
% 0.12/0.37 (![V_c,V_A,V_B,T_a]: (( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)| c_in(V_c,V_B,T_a)| c_in(V_c,V_A,T_a) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f4,axiom,(
% 0.12/0.37 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_in(V_c,V_B,T_a) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f5,axiom,(
% 0.12/0.37 (![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)) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f6,axiom,(
% 0.12/0.37 (![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)) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f7,negated_conjecture,(
% 0.12/0.37 c_in(v_x,v_X,t_a) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f8,negated_conjecture,(
% 0.12/0.37 ~ c_in(v_x,v_Z,t_a) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f9,negated_conjecture,(
% 0.12/0.37 ~ c_in(v_x,v_Y,t_a) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f10,negated_conjecture,(
% 0.12/0.37 (![V_U]: (( c_lessequals(v_X,V_U,tc_set(t_a))| ~ c_lessequals(v_Z,V_U,tc_set(t_a))| ~ c_lessequals(v_Y,V_U,tc_set(t_a)) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f11,plain,(
% 0.12/0.37 ![V_c,V_B,T_a]: (~c_in(V_c,V_B,T_a)|(![V_A]: c_in(V_c,c_union(V_A,V_B,T_a),T_a)))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f1])).
% 0.12/0.37 fof(f12,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X3,X1,X2),X2))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.37 fof(f13,plain,(
% 0.12/0.37 ![V_c,V_A,T_a]: (~c_in(V_c,V_A,T_a)|(![V_B]: c_in(V_c,c_union(V_A,V_B,T_a),T_a)))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f2])).
% 0.12/0.37 fof(f14,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X1,X3,X2),X2))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.37 fof(f15,plain,(
% 0.12/0.37 ![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_B,T_a)))|c_in(V_c,V_A,T_a))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.37 fof(f16,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.37 fof(f17,plain,(
% 0.12/0.37 ![V_c,T_a,V_B]: ((![V_A]: (~c_in(V_c,V_A,T_a)|~c_lessequals(V_A,V_B,tc_set(T_a))))|c_in(V_c,V_B,T_a))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f4])).
% 0.12/0.37 fof(f18,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.37 fof(f19,plain,(
% 0.12/0.37 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.37 fof(f20,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f21,plain,(
% 0.12/0.37 c_in(v_x,v_X,t_a)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.37 fof(f22,plain,(
% 0.12/0.37 ~c_in(v_x,v_Z,t_a)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.37 fof(f23,plain,(
% 0.12/0.37 ~c_in(v_x,v_Y,t_a)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.37 fof(f24,plain,(
% 0.12/0.37 ![X0]: (c_lessequals(v_X,X0,tc_set(t_a))|~c_lessequals(v_Z,X0,tc_set(t_a))|~c_lessequals(v_Y,X0,tc_set(t_a)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.37 fof(f26,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))|~c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3))),
% 0.12/0.37 inference(resolution,[status(thm)],[f20,f14])).
% 0.12/0.37 fof(f27,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))|~c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3))),
% 0.12/0.38 inference(resolution,[status(thm)],[f20,f12])).
% 0.12/0.38 fof(f46,plain,(
% 0.12/0.38 ![X0,X1,X2]: (c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2))|c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)))),
% 0.12/0.38 inference(resolution,[status(thm)],[f26,f19])).
% 0.12/0.38 fof(f49,plain,(
% 0.12/0.38 ![X0,X1,X2]: (c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)))),
% 0.12/0.38 inference(duplicate_literals_removal,[status(thm)],[f46])).
% 0.12/0.38 fof(f50,plain,(
% 0.12/0.38 ![X0]: (c_lessequals(v_X,c_union(v_Y,X0,t_a),tc_set(t_a))|~c_lessequals(v_Z,c_union(v_Y,X0,t_a),tc_set(t_a)))),
% 0.12/0.38 inference(resolution,[status(thm)],[f49,f24])).
% 0.12/0.38 fof(f52,plain,(
% 0.12/0.38 ![X0,X1,X2]: (c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2))|c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)))),
% 0.12/0.38 inference(resolution,[status(thm)],[f27,f19])).
% 0.12/0.38 fof(f55,plain,(
% 0.12/0.38 ![X0,X1,X2]: (c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)))),
% 0.12/0.38 inference(duplicate_literals_removal,[status(thm)],[f52])).
% 0.12/0.38 fof(f58,plain,(
% 0.12/0.38 c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a))),
% 0.12/0.38 inference(resolution,[status(thm)],[f50,f55])).
% 0.12/0.38 fof(f59,plain,(
% 0.12/0.38 ![X0]: (~c_in(X0,v_X,t_a)|c_in(X0,c_union(v_Y,v_Z,t_a),t_a))),
% 0.12/0.38 inference(resolution,[status(thm)],[f58,f18])).
% 0.12/0.38 fof(f110,plain,(
% 0.12/0.38 c_in(v_x,c_union(v_Y,v_Z,t_a),t_a)),
% 0.12/0.38 inference(resolution,[status(thm)],[f59,f21])).
% 0.12/0.38 fof(f111,plain,(
% 0.12/0.38 c_in(v_x,v_Z,t_a)|c_in(v_x,v_Y,t_a)),
% 0.12/0.38 inference(resolution,[status(thm)],[f110,f16])).
% 0.12/0.38 fof(f112,definition,(
% 0.12/0.38 sQ2_spl <=> (c_in(v_x,v_Z,t_a))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f113,plain,(
% 0.12/0.38 c_in(v_x,v_Z,t_a)|~sQ2_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f112])).
% 0.12/0.38 fof(f115,definition,(
% 0.12/0.38 sQ3_spl <=> (c_in(v_x,v_Y,t_a))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f116,plain,(
% 0.12/0.38 c_in(v_x,v_Y,t_a)|~sQ3_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f115])).
% 0.12/0.38 fof(f118,plain,(
% 0.12/0.38 sQ2_spl|sQ3_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f111,f112,f115])).
% 0.12/0.38 fof(f119,plain,(
% 0.12/0.38 $false|~sQ2_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f113,f22])).
% 0.12/0.38 fof(f120,plain,(
% 0.12/0.38 ~sQ2_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f119])).
% 0.12/0.38 fof(f121,plain,(
% 0.12/0.38 $false|~sQ3_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f116,f23])).
% 0.12/0.38 fof(f122,plain,(
% 0.12/0.38 ~sQ3_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f121])).
% 0.12/0.38 fof(f123,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(sat_refutation,[status(thm)],[f118,f120,f122])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.044035 seconds
% 0.12/0.40 % CPU time: 0.125769 seconds
% 0.12/0.40 % Total memory used: 17.479 MB
% 0.12/0.40 % Net memory used: 17.025 MB
%------------------------------------------------------------------------------