%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV249-2 : 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 02:50:19 PM UTC 2026
% Result : Unsatisfiable 210.25s 27.00s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV249-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % 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 08:35:50 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 210.25/27.00 % Refutation found
% 210.25/27.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 210.25/27.00 % SZS output start CNFRefutation for theBenchmark
% 210.25/27.00 fof(f1,negated_conjecture,(
% 210.25/27.00 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) ),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f2,negated_conjecture,(
% 210.25/27.00 ~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f3,axiom,(
% 210.25/27.00 (![V_G,V_H]: (c_Message_Oanalz(c_union(c_Message_Oanalz(V_G),V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f4,axiom,(
% 210.25/27.00 (![V_G,V_H]: (( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))| c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)) ) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f5,axiom,(
% 210.25/27.00 (![V_G,V_H]: (c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f6,axiom,(
% 210.25/27.00 (![T_a,V_x]: (( ~ class_Orderings_Oorder(T_a)| c_lessequals(V_x,V_x,T_a) ) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f7,axiom,(
% 210.25/27.00 (![V_B,V_A,T_a]: (c_union(c_minus(V_B,V_A,tc_set(T_a)),V_A,T_a) = c_union(V_B,V_A,T_a) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f8,axiom,(
% 210.25/27.00 (![V_A,V_B,T_a]: (c_union(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_union(V_A,V_B,T_a) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f9,axiom,(
% 210.25/27.00 (![V_a,V_B,T_a,V_C]: (c_union(c_insert(V_a,V_B,T_a),V_C,T_a) = c_insert(V_a,c_union(V_B,V_C,T_a),T_a) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f10,axiom,(
% 210.25/27.00 (![V_A,V_a,V_B,T_a]: (c_union(V_A,c_insert(V_a,V_B,T_a),T_a) = c_insert(V_a,c_union(V_A,V_B,T_a),T_a) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f11,axiom,(
% 210.25/27.00 (![V_A,V_B,T_a,V_C]: (( ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a))| c_lessequals(V_A,V_C,tc_set(T_a)) ) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f12,axiom,(
% 210.25/27.00 (![V_A,V_B,T_a,V_C]: (( ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a))| c_lessequals(V_B,V_C,tc_set(T_a)) ) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f13,axiom,(
% 210.25/27.00 (![V_B,V_C,T_a,V_A]: (( ~ c_lessequals(V_B,V_C,tc_set(T_a))| ~ c_lessequals(V_A,V_C,tc_set(T_a))| c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) ) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f14,axiom,(
% 210.25/27.00 (![V_x,V_A,T_a,V_B]: (( ~ c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a))| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f15,axiom,(
% 210.25/27.00 (![V_x,V_B,T_a,V_A]: (( ~ c_in(V_x,V_B,T_a)| ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) ) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f16,axiom,(
% 210.25/27.00 (![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 ) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f17,axiom,(
% 210.25/27.00 (![T_1]: (class_Orderings_Oorder(tc_set(T_1)) ))),
% 210.25/27.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 210.25/27.00 fof(f18,plain,(
% 210.25/27.00 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f1])).
% 210.25/27.00 fof(f19,plain,(
% 210.25/27.00 ~c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f2])).
% 210.25/27.00 fof(f20,plain,(
% 210.25/27.00 ![X0,X1]: (c_Message_Oanalz(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg))=c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f3])).
% 210.25/27.00 fof(f21,plain,(
% 210.25/27.00 ![X0,X1]: (~c_lessequals(X0,X1,tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f4])).
% 210.25/27.00 fof(f22,plain,(
% 210.25/27.00 ![X0,X1]: (c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg))=c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f5])).
% 210.25/27.00 fof(f23,plain,(
% 210.25/27.00 ![T_a]: (~class_Orderings_Oorder(T_a)|(![V_x]: c_lessequals(V_x,V_x,T_a)))),
% 210.25/27.00 inference(miniscoping,[status(thm)],[f6])).
% 210.25/27.00 fof(f24,plain,(
% 210.25/27.00 ![X0,X1]: (~class_Orderings_Oorder(X0)|c_lessequals(X1,X1,X0))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f23])).
% 210.25/27.00 fof(f25,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_union(c_minus(X0,X1,tc_set(X2)),X1,X2)=c_union(X0,X1,X2))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f7])).
% 210.25/27.00 fof(f26,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_union(X0,c_minus(X1,X0,tc_set(X2)),X2)=c_union(X0,X1,X2))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f8])).
% 210.25/27.00 fof(f27,plain,(
% 210.25/27.00 ![X0,X1,X2,X3]: (c_union(c_insert(X0,X1,X2),X3,X2)=c_insert(X0,c_union(X1,X3,X2),X2))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f9])).
% 210.25/27.00 fof(f28,plain,(
% 210.25/27.00 ![X0,X1,X2,X3]: (c_union(X0,c_insert(X1,X2,X3),X3)=c_insert(X1,c_union(X0,X2,X3),X3))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f10])).
% 210.25/27.00 fof(f29,plain,(
% 210.25/27.00 ![V_A,T_a,V_C]: ((![V_B]: ~c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)))|c_lessequals(V_A,V_C,tc_set(T_a)))),
% 210.25/27.00 inference(miniscoping,[status(thm)],[f11])).
% 210.25/27.00 fof(f30,plain,(
% 210.25/27.00 ![X0,X1,X2,X3]: (~c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))|c_lessequals(X0,X3,tc_set(X2)))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f29])).
% 210.25/27.00 fof(f31,plain,(
% 210.25/27.00 ![V_B,T_a,V_C]: ((![V_A]: ~c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)))|c_lessequals(V_B,V_C,tc_set(T_a)))),
% 210.25/27.00 inference(miniscoping,[status(thm)],[f12])).
% 210.25/27.00 fof(f32,plain,(
% 210.25/27.00 ![X0,X1,X2,X3]: (~c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))|c_lessequals(X1,X3,tc_set(X2)))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f31])).
% 210.25/27.00 fof(f33,plain,(
% 210.25/27.00 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X3,X1,tc_set(X2))|c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f13])).
% 210.25/27.00 fof(f34,plain,(
% 210.25/27.00 ![V_A,T_a,V_B]: ((![V_x]: ~c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)))|c_lessequals(V_A,V_B,tc_set(T_a)))),
% 210.25/27.00 inference(miniscoping,[status(thm)],[f14])).
% 210.25/27.00 fof(f35,plain,(
% 210.25/27.00 ![X0,X1,X2,X3]: (~c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))|c_lessequals(X1,X3,tc_set(X2)))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f34])).
% 210.25/27.00 fof(f36,plain,(
% 210.25/27.00 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X3,X1,tc_set(X2))|c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f15])).
% 210.25/27.00 fof(f37,plain,(
% 210.25/27.00 ![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)),
% 210.25/27.00 inference(miniscoping,[status(thm)],[f16])).
% 210.25/27.00 fof(f38,plain,(
% 210.25/27.00 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f37])).
% 210.25/27.00 fof(f39,plain,(
% 210.25/27.00 ![X0]: (class_Orderings_Oorder(tc_set(X0)))),
% 210.25/27.00 inference(cnf_transformation,[status(thm)],[f17])).
% 210.25/27.00 fof(f58,plain,(
% 210.25/27.00 ![X0]: (~c_lessequals(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg))|c_lessequals(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)))),
% 210.25/27.00 inference(resolution,[status(thm)],[f36,f18])).
% 210.25/27.00 fof(f59,plain,(
% 210.25/27.00 ![X0,X1]: (c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(X0)),X1,tc_Message_Omsg))=c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg))),
% 210.25/27.00 inference(paramodulation,[status(thm)],[f20,f22])).
% 210.25/27.00 fof(f62,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_Message_Oanalz(c_union(c_Message_Osynth(X0),c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg))=c_union(c_Message_Oanalz(c_insert(X1,c_union(X0,X2,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg))),
% 210.25/27.00 inference(paramodulation,[status(thm)],[f28,f22])).
% 210.25/27.00 fof(f68,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_Message_Oanalz(c_insert(X0,c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg),tc_Message_Omsg))=c_union(c_Message_Oanalz(c_insert(X0,c_union(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Osynth(X1),tc_Message_Omsg))),
% 210.25/27.00 inference(forward_demodulation,[status(thm)],[f28,f62])).
% 210.25/27.00 fof(f69,plain,(
% 210.25/27.00 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 210.25/27.00 inference(resolution,[status(thm)],[f24,f39])).
% 210.25/27.00 fof(f72,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2)))),
% 210.25/27.00 inference(resolution,[status(thm)],[f69,f35])).
% 210.25/27.00 fof(f73,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)))),
% 210.25/27.00 inference(resolution,[status(thm)],[f69,f32])).
% 210.25/27.00 fof(f74,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)))),
% 210.25/27.00 inference(resolution,[status(thm)],[f69,f30])).
% 210.25/27.00 fof(f106,plain,(
% 210.25/27.00 ![X0,X1,X2,X3]: (~c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))|c_lessequals(c_union(X0,X1,X3),c_union(X1,X2,X3),tc_set(X3)))),
% 210.25/27.00 inference(resolution,[status(thm)],[f74,f33])).
% 210.25/27.00 fof(f109,plain,(
% 210.25/27.00 ![X0,X1,X2,X3]: (c_lessequals(c_insert(X0,X1,X2),c_insert(X0,c_union(X1,X3,X2),X2),tc_set(X2)))),
% 210.25/27.00 inference(paramodulation,[status(thm)],[f27,f74])).
% 210.25/27.00 fof(f166,plain,(
% 210.25/27.00 ![X0,X1]: (c_Message_Oanalz(c_union(c_Message_Osynth(X0),c_minus(X1,X0,tc_set(tc_Message_Omsg)),tc_Message_Omsg))=c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg))),
% 210.25/27.00 inference(paramodulation,[status(thm)],[f26,f22])).
% 210.25/27.00 fof(f170,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_lessequals(c_minus(X0,X1,tc_set(X2)),c_union(X1,X0,X2),tc_set(X2)))),
% 210.25/27.00 inference(paramodulation,[status(thm)],[f26,f73])).
% 210.25/27.00 fof(f178,plain,(
% 210.25/27.00 ![X0,X1]: (c_Message_Oanalz(c_union(c_Message_Osynth(X0),c_minus(X1,X0,tc_set(tc_Message_Omsg)),tc_Message_Omsg))=c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg)))),
% 210.25/27.00 inference(forward_demodulation,[status(thm)],[f22,f166])).
% 210.25/27.00 fof(f198,plain,(
% 210.25/27.00 c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg))),
% 210.25/27.00 inference(resolution,[status(thm)],[f58,f69])).
% 210.25/27.00 fof(f203,plain,(
% 210.25/27.00 ~c_lessequals(c_Message_Osynth(c_Message_Oanalz(v_G)),c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_set(tc_Message_Omsg))|c_Message_Osynth(c_Message_Oanalz(v_G))=c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),
% 210.25/27.00 inference(resolution,[status(thm)],[f198,f38])).
% 210.25/27.00 fof(f205,definition,(
% 210.25/27.00 sQ0_spl <=> (c_lessequals(c_Message_Osynth(c_Message_Oanalz(v_G)),c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_set(tc_Message_Omsg)))),
% 210.25/27.00 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 210.25/27.00 fof(f207,plain,(
% 210.25/27.00 ~c_lessequals(c_Message_Osynth(c_Message_Oanalz(v_G)),c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_set(tc_Message_Omsg))|sQ0_spl),
% 210.25/27.00 inference(component_clause,[status(thm)],[f205])).
% 210.25/27.00 fof(f208,definition,(
% 210.25/27.00 sQ1_spl <=> (c_Message_Osynth(c_Message_Oanalz(v_G))=c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg))),
% 210.25/27.00 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 210.25/27.00 fof(f209,plain,(
% 210.25/27.00 c_Message_Osynth(c_Message_Oanalz(v_G))=c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)|~sQ1_spl),
% 210.25/27.00 inference(component_clause,[status(thm)],[f208])).
% 210.25/27.00 fof(f211,plain,(
% 210.25/27.00 ~sQ0_spl|sQ1_spl),
% 210.25/27.00 inference(split_clause,[status(thm)],[f203,f205,f208])).
% 210.25/27.00 fof(f212,plain,(
% 210.25/27.00 $false|sQ0_spl),
% 210.25/27.00 inference(forward_subsumption_resolution,[status(thm)],[f207,f72])).
% 210.25/27.00 fof(f213,plain,(
% 210.25/27.00 sQ0_spl),
% 210.25/27.00 inference(contradiction_clause,[status(thm)],[f212])).
% 210.25/27.00 fof(f218,plain,(
% 210.25/27.00 ![X0]: (c_union(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)=c_insert(v_X,c_union(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_Message_Omsg)|~sQ1_spl)),
% 210.25/27.00 inference(paramodulation,[status(thm)],[f209,f28])).
% 210.25/27.00 fof(f438,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_lessequals(c_minus(c_minus(X0,X1,tc_set(X2)),X1,tc_set(X2)),c_union(X1,X0,X2),tc_set(X2)))),
% 210.25/27.00 inference(paramodulation,[status(thm)],[f26,f170])).
% 210.25/27.00 fof(f1222,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_Message_Oanalz(c_insert(X0,c_union(c_Message_Osynth(X1),c_minus(X2,X1,tc_set(tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg))=c_union(c_Message_Oanalz(c_insert(X0,c_union(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Osynth(X1),tc_Message_Omsg))),
% 210.25/27.00 inference(paramodulation,[status(thm)],[f26,f68])).
% 210.25/27.00 fof(f1260,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_Message_Oanalz(c_insert(X0,c_union(c_Message_Osynth(X1),c_minus(X2,X1,tc_set(tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg))=c_Message_Oanalz(c_insert(X0,c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg),tc_Message_Omsg)))),
% 210.25/27.00 inference(forward_demodulation,[status(thm)],[f68,f1222])).
% 210.25/27.00 fof(f1501,plain,(
% 210.25/27.00 ![X0]: (c_lessequals(c_insert(v_X,X0,tc_Message_Omsg),c_union(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_set(tc_Message_Omsg))|~sQ1_spl)),
% 210.25/27.00 inference(paramodulation,[status(thm)],[f218,f109])).
% 210.25/27.00 fof(f1830,plain,(
% 210.25/27.00 ![X0]: (c_lessequals(c_Message_Oanalz(c_insert(v_X,X0,tc_Message_Omsg)),c_Message_Oanalz(c_union(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))|~sQ1_spl)),
% 210.25/27.00 inference(resolution,[status(thm)],[f1501,f21])).
% 210.25/27.00 fof(f232230,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_lessequals(c_union(c_minus(c_minus(X0,X1,tc_set(X2)),X1,tc_set(X2)),X1,X2),c_union(X1,X0,X2),tc_set(X2)))),
% 210.25/27.00 inference(resolution,[status(thm)],[f106,f438])).
% 210.25/27.00 fof(f232523,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_lessequals(c_union(c_minus(X0,X1,tc_set(X2)),X1,X2),c_union(X1,X0,X2),tc_set(X2)))),
% 210.25/27.00 inference(forward_demodulation,[status(thm)],[f25,f232230])).
% 210.25/27.00 fof(f232524,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2)))),
% 210.25/27.00 inference(forward_demodulation,[status(thm)],[f25,f232523])).
% 210.25/27.00 fof(f232658,plain,(
% 210.25/27.00 ![X0,X1,X2]: (~c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2))|c_union(X0,X1,X2)=c_union(X1,X0,X2))),
% 210.25/27.00 inference(resolution,[status(thm)],[f232524,f38])).
% 210.25/27.00 fof(f232837,plain,(
% 210.25/27.00 ![X0,X1,X2]: (c_union(X0,X1,X2)=c_union(X1,X0,X2))),
% 210.25/27.00 inference(forward_subsumption_resolution,[status(thm)],[f232658,f232524])).
% 210.25/27.00 fof(f232928,plain,(
% 210.25/27.00 ![X0,X1]: (c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(X0)),X1,tc_Message_Omsg))=c_union(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),tc_Message_Omsg))),
% 210.25/27.00 inference(backward_demodulation,[status(thm)],[f232837,f59])).
% 210.25/27.00 fof(f233456,plain,(
% 210.25/27.00 ![X0]: (c_union(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)=c_insert(v_X,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg),tc_Message_Omsg)|~sQ1_spl)),
% 210.25/27.00 inference(paramodulation,[status(thm)],[f232837,f218])).
% 210.25/27.00 fof(f239493,plain,(
% 210.25/27.00 ![X0]: (c_Message_Oanalz(c_union(c_minus(X0,c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg))=c_Message_Oanalz(c_insert(v_X,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg),tc_Message_Omsg))|~sQ1_spl)),
% 210.25/27.00 inference(paramodulation,[status(thm)],[f233456,f1260])).
% 210.25/27.00 fof(f239735,plain,(
% 210.25/27.00 ![X0]: (c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_minus(X0,c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg)),tc_Message_Omsg))=c_Message_Oanalz(c_insert(v_X,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg),tc_Message_Omsg))|~sQ1_spl)),
% 210.25/27.00 inference(forward_demodulation,[status(thm)],[f232837,f239493])).
% 210.25/27.00 fof(f239736,plain,(
% 210.25/27.00 ![X0]: (c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg))=c_Message_Oanalz(c_insert(v_X,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg),tc_Message_Omsg))|~sQ1_spl)),
% 210.25/27.00 inference(forward_demodulation,[status(thm)],[f178,f239735])).
% 210.25/27.00 fof(f239737,plain,(
% 210.25/27.00 ![X0]: (c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg))=c_Message_Oanalz(c_union(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg))|~sQ1_spl)),
% 210.25/27.00 inference(forward_demodulation,[status(thm)],[f233456,f239736])).
% 110.52/27.20 fof(f245273,plain,(
% 110.52/27.20 ~c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))),
% 110.52/27.20 inference(backward_demodulation,[status(thm)],[f232928,f19])).
% 110.52/27.20 fof(f245751,plain,(
% 110.52/27.20 ~c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))|~sQ1_spl),
% 110.52/27.20 inference(forward_demodulation,[status(thm)],[f239737,f245273])).
% 110.52/27.20 fof(f245752,plain,(
% 110.52/27.20 $false|~sQ1_spl),
% 110.52/27.20 inference(forward_subsumption_resolution,[status(thm)],[f245751,f1830])).
% 110.52/27.20 fof(f245753,plain,(
% 110.52/27.20 ~sQ1_spl),
% 110.52/27.20 inference(contradiction_clause,[status(thm)],[f245752])).
% 110.52/27.20 fof(f245754,plain,(
% 110.52/27.20 $false),
% 110.52/27.20 inference(sat_refutation,[status(thm)],[f211,f213,f245753])).
% 110.52/27.20 % SZS output end CNFRefutation for theBenchmark.p
% 13.35/27.94 % Elapsed time: 27.562679 seconds
% 13.35/27.94 % CPU time: 213.906684 seconds
% 13.35/27.94 % Total memory used: 2.411 GB
% 13.35/27.94 % Net memory used: 2.333 GB
%------------------------------------------------------------------------------