%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV909-1 : 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 : n005.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 02:53:20 PM UTC 2026
% Result : Unsatisfiable 10.86s 1.99s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV909-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.44 % Computer : n005.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Mon Sep 21 09:30:48 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.27/0.53 % Drodi V4.1.1
% 10.86/1.99 % Refutation found
% 10.86/1.99 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.86/1.99 % SZS output start CNFRefutation for theBenchmark
% 10.86/1.99 fof(f272,axiom,(
% 10.86/1.99 (![V_P,T_a]: (c_Collect(V_P,T_a) = V_P ))),
% 10.86/1.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.86/1.99 fof(f542,axiom,(
% 10.86/1.99 (![T_a,V_a]: (c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ))),
% 10.86/1.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.86/1.99 fof(f579,axiom,(
% 10.86/1.99 (![V_G,V_P,V_c,V_Q]: (( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(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))) ) ))),
% 10.86/1.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.86/1.99 fof(f592,axiom,(
% 10.86/1.99 (![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) ))),
% 10.86/1.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.86/1.99 fof(f608,axiom,(
% 10.86/1.99 (![T_a,V_x]: (~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ))),
% 10.86/1.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.86/1.99 fof(f614,axiom,(
% 10.86/1.99 (![V_P,T_a,T_b,V_Q]: (hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ))),
% 10.86/1.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.86/1.99 fof(f619,negated_conjecture,(
% 10.86/1.99 ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_Set_Oinsert(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,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
% 10.86/1.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.86/1.99 fof(f1099,plain,(
% 10.86/1.99 ![X0,X1]: (c_Collect(X0,X1)=X0)),
% 10.86/1.99 inference(cnf_transformation,[status(thm)],[f272])).
% 10.86/1.99 fof(f1506,plain,(
% 10.86/1.99 ![X0,X1]: (c_Collect(hAPP(c_fequal(X0),X1),X0)=hAPP(c_Set_Oinsert(X1,X0),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))),
% 10.86/1.99 inference(cnf_transformation,[status(thm)],[f542])).
% 10.86/1.99 fof(f1561,plain,(
% 10.86/1.99 ![X0,X1,X2,X3]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(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))))),
% 10.86/1.99 inference(cnf_transformation,[status(thm)],[f579])).
% 10.86/1.99 fof(f1583,plain,(
% 10.86/1.99 ![X0]: (c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Collect(c_COMBK(c_False,tc_bool,X0),X0))),
% 10.86/1.99 inference(cnf_transformation,[status(thm)],[f592])).
% 10.86/1.99 fof(f1610,plain,(
% 10.86/1.99 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)))),
% 10.86/1.99 inference(cnf_transformation,[status(thm)],[f608])).
% 10.86/1.99 fof(f1617,plain,(
% 10.86/1.99 ![X0,X1,X2,X3]: (hAPP(c_COMBK(X0,X1,X2),X3)=X0)),
% 10.86/1.99 inference(cnf_transformation,[status(thm)],[f614])).
% 10.86/1.99 fof(f1625,plain,(
% 10.86/1.99 ~c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_Set_Oinsert(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,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)),
% 10.86/1.99 inference(cnf_transformation,[status(thm)],[f619])).
% 10.86/1.99 fof(f1729,plain,(
% 10.86/1.99 ![X0,X1]: (hAPP(c_fequal(X0),X1)=hAPP(c_Set_Oinsert(X1,X0),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))),
% 10.86/1.99 inference(forward_demodulation,[status(thm)],[f1099,f1506])).
% 10.86/1.99 fof(f1765,plain,(
% 10.86/1.99 ![X0,X1,X2,X3]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),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))))),
% 10.86/1.99 inference(forward_demodulation,[status(thm)],[f1729,f1561])).
% 10.86/2.02 fof(f1785,plain,(
% 10.86/2.02 ![X0]: (c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_COMBK(c_False,tc_bool,X0))),
% 10.86/2.02 inference(forward_demodulation,[status(thm)],[f1099,f1583])).
% 10.86/2.02 fof(f1806,plain,(
% 10.86/2.02 ~c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(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,v_Q,t_a)),t_a)),
% 10.86/2.02 inference(forward_demodulation,[status(thm)],[f1729,f1625])).
% 10.86/2.02 fof(f1807,plain,(
% 10.86/2.02 ~c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,v_Q,t_a)),t_a)),
% 10.86/2.02 inference(forward_demodulation,[status(thm)],[f1785,f1806])).
% 10.86/2.02 fof(f1936,plain,(
% 10.86/2.02 ![X0,X1]: (hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)=c_False)),
% 10.86/2.02 inference(paramodulation,[status(thm)],[f1785,f1617])).
% 10.86/2.02 fof(f1937,plain,(
% 10.86/2.02 ~hBOOL(c_False)),
% 10.86/2.02 inference(backward_demodulation,[status(thm)],[f1936,f1610])).
% 10.86/2.02 fof(f2586,plain,(
% 10.86/2.02 ![X0,X1,X2,X3,X4,X5]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(X1,X2,X3),X4,X5,t_a)),t_a)|hBOOL(hAPP(X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,c_COMBK(X1,X2,X3),X5,X4))))),
% 10.86/2.02 inference(paramodulation,[status(thm)],[f1617,f1765])).
% 10.86/2.02 fof(f2741,plain,(
% 10.86/2.02 hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Ostate,tc_bool)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_G,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_Q,v_c)))),
% 10.86/2.02 inference(resolution,[status(thm)],[f2586,f1807])).
% 10.86/2.02 fof(f2778,plain,(
% 10.86/2.02 hBOOL(c_False)),
% 10.86/2.02 inference(forward_demodulation,[status(thm)],[f1936,f2741])).
% 10.86/2.02 fof(f2779,plain,(
% 10.86/2.02 $false),
% 10.86/2.02 inference(forward_subsumption_resolution,[status(thm)],[f2778,f1937])).
% 10.86/2.02 % SZS output end CNFRefutation for theBenchmark.p
% 4.58/2.04 % Elapsed time: 1.578567 seconds
% 4.58/2.04 % CPU time: 11.588328 seconds
% 4.58/2.04 % Total memory used: 264.738 MB
% 4.58/2.04 % Net memory used: 257.967 MB
%------------------------------------------------------------------------------