%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV251-2 : 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 : n019.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 0.12s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV251-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 08:36:50 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.12/0.48 % Refutation found
% 0.12/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.48 fof(f1,axiom,(
% 0.12/0.48 (![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)) ) ))),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f2,axiom,(
% 0.12/0.48 (![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) ))),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f3,axiom,(
% 0.12/0.48 (![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) ))),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f4,axiom,(
% 0.12/0.48 (![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)) ) ))),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f5,axiom,(
% 0.12/0.48 (![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)) ) ))),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f6,axiom,(
% 0.12/0.48 (![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)) ) ))),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f7,axiom,(
% 0.12/0.48 (![V_x,V_B,T_a,V_A]: (( ~ c_in(V_x,V_B,T_a)| c_minus(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) = c_minus(V_A,V_B,tc_set(T_a)) ) ))),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f8,axiom,(
% 0.12/0.48 (![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) ) ))),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f9,axiom,(
% 0.12/0.48 (![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 ) ))),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f10,axiom,(
% 0.12/0.48 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f11,negated_conjecture,(
% 0.12/0.48 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f12,negated_conjecture,(
% 0.12/0.48 c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f13,negated_conjecture,(
% 0.12/0.48 ~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f14,plain,(
% 0.12/0.48 ![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)))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.48 fof(f15,plain,(
% 0.12/0.48 ![X0,X1,X2]: (c_union(c_minus(X0,X1,tc_set(X2)),X1,X2)=c_union(X0,X1,X2))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.48 fof(f16,plain,(
% 0.12/0.48 ![X0,X1,X2]: (c_union(X0,c_minus(X1,X0,tc_set(X2)),X2)=c_union(X0,X1,X2))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.48 fof(f17,plain,(
% 0.12/0.48 ![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)))),
% 0.12/0.48 inference(miniscoping,[status(thm)],[f4])).
% 0.12/0.48 fof(f18,plain,(
% 0.12/0.48 ![X0,X1,X2,X3]: (~c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))|c_lessequals(X0,X3,tc_set(X2)))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.48 fof(f19,plain,(
% 0.12/0.48 ![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)))),
% 0.12/0.48 inference(miniscoping,[status(thm)],[f5])).
% 0.12/0.48 fof(f20,plain,(
% 0.12/0.48 ![X0,X1,X2,X3]: (~c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))|c_lessequals(X1,X3,tc_set(X2)))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.48 fof(f21,plain,(
% 0.12/0.48 ![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)))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.48 fof(f22,plain,(
% 0.12/0.48 ![V_x,V_B,T_a]: (~c_in(V_x,V_B,T_a)|(![V_A]: c_minus(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a))=c_minus(V_A,V_B,tc_set(T_a))))),
% 0.12/0.48 inference(miniscoping,[status(thm)],[f7])).
% 0.12/0.48 fof(f23,plain,(
% 0.12/0.48 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_minus(c_insert(X0,X3,X2),X1,tc_set(X2))=c_minus(X3,X1,tc_set(X2)))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.48 fof(f24,plain,(
% 0.12/0.48 ![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))),
% 0.12/0.48 inference(miniscoping,[status(thm)],[f8])).
% 0.12/0.48 fof(f25,plain,(
% 0.12/0.48 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.48 fof(f26,plain,(
% 0.12/0.48 ![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)),
% 0.12/0.48 inference(miniscoping,[status(thm)],[f9])).
% 0.12/0.48 fof(f27,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.48 fof(f28,plain,(
% 0.12/0.48 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.48 fof(f29,plain,(
% 0.12/0.48 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.48 fof(f30,plain,(
% 0.12/0.48 c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.48 fof(f31,plain,(
% 0.12/0.48 ~c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.48 fof(f32,plain,(
% 0.12/0.48 ![X0]: (~c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),X0,tc_set(tc_Message_Omsg))|c_in(v_x,X0,tc_Message_Omsg))),
% 0.12/0.48 inference(resolution,[status(thm)],[f25,f30])).
% 0.12/0.48 fof(f35,plain,(
% 0.12/0.48 ![X0]: (c_minus(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg))=c_minus(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)))),
% 0.12/0.48 inference(resolution,[status(thm)],[f23,f29])).
% 0.12/0.48 fof(f37,plain,(
% 0.12/0.48 ![X0]: (c_union(c_minus(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)=c_union(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f35,f15])).
% 0.12/0.48 fof(f41,plain,(
% 0.12/0.48 ![X0]: (c_union(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)=c_union(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg))),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f15,f37])).
% 0.12/0.48 fof(f45,plain,(
% 0.12/0.48 ![X0,X1,X2]: (c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)))),
% 0.12/0.48 inference(resolution,[status(thm)],[f28,f20])).
% 0.12/0.48 fof(f46,plain,(
% 0.12/0.48 ![X0,X1,X2]: (c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)))),
% 0.12/0.48 inference(resolution,[status(thm)],[f28,f18])).
% 0.12/0.48 fof(f63,plain,(
% 0.12/0.48 ![X0,X1]: (c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 0.12/0.48 inference(resolution,[status(thm)],[f46,f14])).
% 0.12/0.48 fof(f64,plain,(
% 0.12/0.48 ![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)))),
% 0.12/0.48 inference(resolution,[status(thm)],[f46,f21])).
% 0.12/0.48 fof(f109,plain,(
% 0.12/0.48 ![X0,X1,X2]: (c_lessequals(c_minus(X0,X1,tc_set(X2)),c_union(X1,X0,X2),tc_set(X2)))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f16,f45])).
% 0.12/0.48 fof(f237,plain,(
% 0.12/0.48 ![X0]: (c_in(v_x,c_Message_Oanalz(c_union(c_insert(v_X,v_H,tc_Message_Omsg),X0,tc_Message_Omsg)),tc_Message_Omsg))),
% 0.12/0.48 inference(resolution,[status(thm)],[f63,f32])).
% 0.12/0.48 fof(f490,plain,(
% 0.12/0.48 ![X0,X1,X2]: (c_lessequals(c_union(c_minus(X0,X1,tc_set(X2)),X1,X2),c_union(X1,X0,X2),tc_set(X2)))),
% 0.12/0.48 inference(resolution,[status(thm)],[f64,f109])).
% 0.12/0.48 fof(f511,plain,(
% 0.12/0.48 ![X0,X1,X2]: (c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2)))),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f15,f490])).
% 0.12/0.48 fof(f520,plain,(
% 0.12/0.48 c_in(v_x,c_Message_Oanalz(c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),tc_Message_Omsg)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f41,f237])).
% 0.12/0.48 fof(f582,plain,(
% 0.12/0.48 ![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))),
% 0.12/0.48 inference(resolution,[status(thm)],[f511,f27])).
% 0.12/0.48 fof(f596,plain,(
% 0.12/0.48 ![X0,X1,X2]: (c_union(X0,X1,X2)=c_union(X1,X0,X2))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f582,f511])).
% 0.12/0.48 fof(f609,plain,(
% 0.12/0.48 ~c_in(v_x,c_Message_Oanalz(c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),tc_Message_Omsg)),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f596,f31])).
% 0.12/0.48 fof(f738,plain,(
% 0.12/0.48 $false),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f609,f520])).
% 0.12/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.50 % Elapsed time: 0.111188 seconds
% 0.12/0.50 % CPU time: 0.678871 seconds
% 0.12/0.50 % Total memory used: 71.797 MB
% 0.12/0.50 % Net memory used: 71.158 MB
%------------------------------------------------------------------------------