%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV834-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:53:14 PM UTC 2026
% Result : Unsatisfiable 5.69s 6.18s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV834-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n018.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 09:29:20 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.14/5.40 % Drodi V4.1.1
% 5.69/6.18 % Refutation found
% 5.69/6.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.69/6.18 % SZS output start CNFRefutation for theBenchmark
% 5.69/6.18 fof(f43,axiom,(
% 5.69/6.18 (![V_P,T_a]: (c_Collect(V_P,T_a) = V_P ))),
% 5.69/6.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.69/6.18 fof(f564,axiom,(
% 5.69/6.18 (![V_G,V_P,V_c,V_Q]: (( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))) ) ))),
% 5.69/6.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.69/6.18 fof(f581,axiom,(
% 5.69/6.18 (![T_a]: (c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,T_a),T_a) ))),
% 5.69/6.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.69/6.18 fof(f598,axiom,(
% 5.69/6.18 (![T_a,V_x]: (~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ))),
% 5.69/6.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.69/6.18 fof(f606,axiom,(
% 5.69/6.18 (![V_P,T_a,T_b,V_Q]: (hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ))),
% 5.69/6.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.69/6.18 fof(f611,negated_conjecture,(
% 5.69/6.18 ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
% 5.69/6.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.69/6.18 fof(f714,plain,(
% 5.69/6.18 ![X0,X1]: (c_Collect(X0,X1)=X0)),
% 5.69/6.18 inference(cnf_transformation,[status(thm)],[f43])).
% 5.69/6.18 fof(f1532,plain,(
% 5.69/6.18 ![X0,X1,X2,X3]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,X1,X3,X2))))),
% 5.69/6.18 inference(cnf_transformation,[status(thm)],[f564])).
% 5.69/6.18 fof(f1561,plain,(
% 5.69/6.18 ![X0]: (c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Collect(c_COMBK(c_False,tc_bool,X0),X0))),
% 5.69/6.18 inference(cnf_transformation,[status(thm)],[f581])).
% 5.69/6.18 fof(f1590,plain,(
% 5.69/6.18 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)))),
% 5.69/6.18 inference(cnf_transformation,[status(thm)],[f598])).
% 5.69/6.18 fof(f1599,plain,(
% 5.69/6.18 ![X0,X1,X2,X3]: (hAPP(c_COMBK(X0,X1,X2),X3)=X0)),
% 5.69/6.18 inference(cnf_transformation,[status(thm)],[f606])).
% 5.69/6.18 fof(f1606,plain,(
% 5.69/6.18 ~c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)),
% 5.69/6.18 inference(cnf_transformation,[status(thm)],[f611])).
% 5.69/6.22 fof(f2351,plain,(
% 5.69/6.22 ![X0]: (c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_COMBK(c_False,tc_bool,X0))),
% 5.69/6.22 inference(backward_demodulation,[status(thm)],[f714,f1561])).
% 5.69/6.22 fof(f4123,plain,(
% 5.69/6.22 hBOOL(hAPP(hAPP(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_G,c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_G,c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),v_c)))),
% 5.69/6.22 inference(resolution,[status(thm)],[f1532,f1606])).
% 5.69/6.22 fof(f4147,plain,(
% 5.69/6.22 hBOOL(hAPP(c_COMBK(c_False,tc_bool,tc_Com_Ostate),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_G,c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),v_c)))),
% 5.69/6.22 inference(forward_demodulation,[status(thm)],[f1599,f4123])).
% 5.69/6.22 fof(f4148,plain,(
% 5.69/6.22 hBOOL(c_False)),
% 5.69/6.22 inference(forward_demodulation,[status(thm)],[f1599,f4147])).
% 5.69/6.22 fof(f4365,plain,(
% 5.69/6.22 ![X0,X1]: (hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)=c_False)),
% 5.69/6.22 inference(paramodulation,[status(thm)],[f2351,f1599])).
% 5.69/6.22 fof(f4373,plain,(
% 5.69/6.22 ~hBOOL(c_False)),
% 5.69/6.22 inference(backward_demodulation,[status(thm)],[f4365,f1590])).
% 5.69/6.22 fof(f4384,plain,(
% 5.69/6.22 $false),
% 5.69/6.22 inference(forward_subsumption_resolution,[status(thm)],[f4373,f4148])).
% 5.69/6.22 % SZS output end CNFRefutation for theBenchmark.p
% 5.69/6.22 % Elapsed time: 0.837764 seconds
% 5.69/6.22 % CPU time: 6.262420 seconds
% 5.69/6.22 % Total memory used: 275.282 MB
% 5.69/6.22 % Net memory used: 271.021 MB
%------------------------------------------------------------------------------