%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM011-2 : 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 : 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 12:10:42 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM011-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 14:14:20 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.39 fof(f1,negated_conjecture,(
% 0.08/0.39 c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)) ),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f2,negated_conjecture,(
% 0.08/0.39 c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)) ),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f3,negated_conjecture,(
% 0.08/0.39 ~ c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)) ),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f4,axiom,(
% 0.08/0.39 (![V_c,V_A,V_B,T_a]: (( ~ c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a)| c_in(V_c,V_A,T_a) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f5,axiom,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f6,axiom,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f7,axiom,(
% 0.08/0.39 (![V_F,V_A,V_A_H,T_a,V_B]: (( ~ c_in(V_F,c_UNITY_Oconstrains(V_A,V_A_H,T_a),tc_UNITY_Oprogram(T_a))| ~ c_lessequals(V_B,V_A,tc_set(T_a))| c_in(V_F,c_UNITY_Oconstrains(V_B,V_A_H,T_a),tc_UNITY_Oprogram(T_a)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f8,axiom,(
% 0.08/0.39 (![V_F,V_A,V_B,T_a]: (( ~ c_in(V_F,c_UNITY_Oconstrains(c_minus(V_A,V_B,tc_set(T_a)),c_union(V_A,V_B,T_a),T_a),tc_UNITY_Oprogram(T_a))| ~ c_in(V_F,c_WFair_Otransient(c_minus(V_A,V_B,tc_set(T_a)),T_a),tc_UNITY_Oprogram(T_a))| c_in(V_F,c_WFair_Oensures(V_A,V_B,T_a),tc_UNITY_Oprogram(T_a)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f9,axiom,(
% 0.08/0.39 (![V_F,V_A,V_B,T_a]: (( ~ c_in(V_F,c_WFair_Oensures(V_A,V_B,T_a),tc_UNITY_Oprogram(T_a))| c_in(V_F,c_WFair_OleadsTo(V_A,V_B,T_a),tc_UNITY_Oprogram(T_a)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f10,axiom,(
% 0.08/0.39 (![V_F,V_A,T_a,V_B]: (( ~ c_in(V_F,c_WFair_Otransient(V_A,T_a),tc_UNITY_Oprogram(T_a))| ~ c_lessequals(V_B,V_A,tc_set(T_a))| c_in(V_F,c_WFair_Otransient(V_B,T_a),tc_UNITY_Oprogram(T_a)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f11,plain,(
% 0.08/0.39 c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.39 fof(f12,plain,(
% 0.08/0.39 c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.39 fof(f13,plain,(
% 0.08/0.39 ~c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.39 fof(f14,plain,(
% 0.08/0.39 ![V_c,V_A,T_a]: ((![V_B]: ~c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a))|c_in(V_c,V_A,T_a))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f4])).
% 0.08/0.39 fof(f15,plain,(
% 0.08/0.39 ![X0,X1,X2,X3]: (~c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)|c_in(X0,X1,X3))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.08/0.39 fof(f16,plain,(
% 0.08/0.39 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.39 fof(f17,plain,(
% 0.08/0.39 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.39 fof(f18,plain,(
% 0.08/0.39 ![V_F,V_A_H,T_a,V_B]: ((![V_A]: (~c_in(V_F,c_UNITY_Oconstrains(V_A,V_A_H,T_a),tc_UNITY_Oprogram(T_a))|~c_lessequals(V_B,V_A,tc_set(T_a))))|c_in(V_F,c_UNITY_Oconstrains(V_B,V_A_H,T_a),tc_UNITY_Oprogram(T_a)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f7])).
% 0.08/0.39 fof(f19,plain,(
% 0.08/0.39 ![X0,X1,X2,X3,X4]: (~c_in(X0,c_UNITY_Oconstrains(X1,X2,X3),tc_UNITY_Oprogram(X3))|~c_lessequals(X4,X1,tc_set(X3))|c_in(X0,c_UNITY_Oconstrains(X4,X2,X3),tc_UNITY_Oprogram(X3)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.08/0.39 fof(f20,plain,(
% 0.08/0.39 ![X0,X1,X2,X3]: (~c_in(X0,c_UNITY_Oconstrains(c_minus(X1,X2,tc_set(X3)),c_union(X1,X2,X3),X3),tc_UNITY_Oprogram(X3))|~c_in(X0,c_WFair_Otransient(c_minus(X1,X2,tc_set(X3)),X3),tc_UNITY_Oprogram(X3))|c_in(X0,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.39 fof(f21,plain,(
% 0.08/0.39 ![X0,X1,X2,X3]: (~c_in(X0,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3))|c_in(X0,c_WFair_OleadsTo(X1,X2,X3),tc_UNITY_Oprogram(X3)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.39 fof(f22,plain,(
% 0.08/0.39 ![V_F,T_a,V_B]: ((![V_A]: (~c_in(V_F,c_WFair_Otransient(V_A,T_a),tc_UNITY_Oprogram(T_a))|~c_lessequals(V_B,V_A,tc_set(T_a))))|c_in(V_F,c_WFair_Otransient(V_B,T_a),tc_UNITY_Oprogram(T_a)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f10])).
% 0.08/0.39 fof(f23,plain,(
% 0.08/0.39 ![X0,X1,X2,X3]: (~c_in(X0,c_WFair_Otransient(X1,X2),tc_UNITY_Oprogram(X2))|~c_lessequals(X3,X1,tc_set(X2))|c_in(X0,c_WFair_Otransient(X3,X2),tc_UNITY_Oprogram(X2)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.08/0.39 fof(f24,plain,(
% 0.08/0.39 ![X0,X1,X2,X3,X4]: (~c_in(X0,c_UNITY_Oconstrains(c_minus(X1,X2,tc_set(X3)),c_union(X1,X2,X3),X3),tc_UNITY_Oprogram(X3))|c_in(X0,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3))|~c_in(X0,c_WFair_Otransient(X4,X3),tc_UNITY_Oprogram(X3))|~c_lessequals(c_minus(X1,X2,tc_set(X3)),X4,tc_set(X3)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f20,f23])).
% 0.08/0.39 fof(f25,plain,(
% 0.08/0.39 ![X0,X1,X2,X3]: (c_lessequals(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X0,X2))),
% 0.08/0.39 inference(resolution,[status(thm)],[f16,f15])).
% 0.08/0.39 fof(f36,plain,(
% 0.08/0.39 ![X0,X1,X2]: (c_lessequals(c_minus(X0,X1,tc_set(X2)),X0,tc_set(X2))|c_lessequals(c_minus(X0,X1,tc_set(X2)),X0,tc_set(X2)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f25,f17])).
% 0.08/0.39 fof(f40,plain,(
% 0.08/0.39 ![X0,X1,X2]: (c_lessequals(c_minus(X0,X1,tc_set(X2)),X0,tc_set(X2)))),
% 0.08/0.39 inference(duplicate_literals_removal,[status(thm)],[f36])).
% 0.08/0.39 fof(f41,plain,(
% 0.08/0.39 ![X0,X1,X2,X3]: (~c_in(X0,c_UNITY_Oconstrains(c_minus(X1,X2,tc_set(X3)),c_union(X1,X2,X3),X3),tc_UNITY_Oprogram(X3))|c_in(X0,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3))|~c_in(X0,c_WFair_Otransient(X1,X3),tc_UNITY_Oprogram(X3)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f40,f24])).
% 0.08/0.39 fof(f73,plain,(
% 0.08/0.39 ![X0,X1,X2,X3,X4]: (c_in(X0,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3))|~c_in(X0,c_WFair_Otransient(X1,X3),tc_UNITY_Oprogram(X3))|~c_in(X0,c_UNITY_Oconstrains(X4,c_union(X1,X2,X3),X3),tc_UNITY_Oprogram(X3))|~c_lessequals(c_minus(X1,X2,tc_set(X3)),X4,tc_set(X3)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f41,f19])).
% 0.08/0.39 fof(f100,plain,(
% 0.08/0.39 ![X0,X1]: (c_in(v_F,c_WFair_Oensures(v_A,X0,t_a),tc_UNITY_Oprogram(t_a))|~c_in(v_F,c_UNITY_Oconstrains(X1,c_union(v_A,X0,t_a),t_a),tc_UNITY_Oprogram(t_a))|~c_lessequals(c_minus(v_A,X0,tc_set(t_a)),X1,tc_set(t_a)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f73,f12])).
% 0.08/0.39 fof(f102,plain,(
% 0.08/0.39 c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))|~c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a))),
% 0.08/0.39 inference(resolution,[status(thm)],[f100,f11])).
% 0.08/0.39 fof(f104,definition,(
% 0.08/0.39 sQ0_spl <=> (c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f105,plain,(
% 0.08/0.39 c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))|~sQ0_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f104])).
% 0.08/0.39 fof(f107,definition,(
% 0.08/0.39 sQ1_spl <=> (c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a)))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f109,plain,(
% 0.08/0.39 ~c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a))|sQ1_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f107])).
% 0.08/0.39 fof(f110,plain,(
% 0.08/0.39 sQ0_spl|~sQ1_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f102,f104,f107])).
% 0.08/0.39 fof(f111,plain,(
% 0.08/0.39 c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))|~sQ0_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f105,f21])).
% 0.08/0.39 fof(f112,plain,(
% 0.08/0.39 $false|~sQ0_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f111,f13])).
% 0.08/0.39 fof(f113,plain,(
% 0.08/0.39 ~sQ0_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f112])).
% 0.08/0.39 fof(f114,plain,(
% 0.08/0.39 $false|sQ1_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f109,f40])).
% 0.08/0.39 fof(f115,plain,(
% 0.08/0.39 sQ1_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f114])).
% 0.08/0.39 fof(f116,plain,(
% 0.08/0.39 $false),
% 0.08/0.39 inference(sat_refutation,[status(thm)],[f110,f113,f115])).
% 0.08/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.42 % Elapsed time: 0.043026 seconds
% 0.08/0.42 % CPU time: 0.133171 seconds
% 0.08/0.42 % Total memory used: 17.585 MB
% 0.08/0.42 % Net memory used: 17.168 MB
%------------------------------------------------------------------------------