%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW394+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 03:09:04 PM UTC 2026
% Result : Theorem 0.40s 0.86s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW394+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 09:50:07 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.29/0.60 % Drodi V4.1.1
% 0.40/0.86 % Refutation found
% 0.40/0.86 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.40/0.86 % SZS output start CNFRefutation for theBenchmark
% 0.40/0.86 fof(f46,axiom,(
% 0.40/0.86 (! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2)) )),
% 0.40/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.40/0.86 fof(f135,axiom,(
% 0.40/0.86 (! [V_G_2,V_ts_2,T_b] :( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_G_2))=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2) ) )),
% 0.40/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.40/0.86 fof(f5224,conjecture,(
% 0.40/0.86 c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
% 0.40/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.40/0.86 fof(f5225,negated_conjecture,(
% 0.40/0.86 ~(c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )),
% 0.40/0.86 inference(negated_conjecture,[status(cth)],[f5224])).
% 0.40/0.86 fof(f5335,plain,(
% 0.40/0.86 ![X0,X1]: (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),X1),X1)))),
% 0.40/0.86 inference(cnf_transformation,[status(thm)],[f46])).
% 0.40/0.86 fof(f5607,plain,(
% 0.40/0.86 ![V_G_2,V_ts_2,T_b]: (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_G_2))|c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2))),
% 0.40/0.86 inference(pre_NNF_transformation,[status(thm)],[f135])).
% 0.40/0.86 fof(f5608,plain,(
% 0.40/0.86 ![X0,X1,X2]: (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)),X1),X2))|c_Hoare__Mirabelle_Ohoare__derivs(X0,X2,X1))),
% 0.40/0.86 inference(cnf_transformation,[status(thm)],[f5607])).
% 0.40/0.86 fof(f20131,plain,(
% 0.40/0.86 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))),
% 0.40/0.86 inference(cnf_transformation,[status(thm)],[f5225])).
% 0.40/0.86 fof(f20749,plain,(
% 0.40/0.86 ![X0,X1]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X1))),
% 0.40/0.86 inference(resolution,[status(thm)],[f5335,f5608])).
% 0.40/0.86 fof(f20793,plain,(
% 0.40/0.86 $false),
% 0.40/0.86 inference(backward_subsumption_resolution,[status(thm)],[f20131,f20749])).
% 0.40/0.86 % SZS output end CNFRefutation for theBenchmark.p
% 0.40/0.93 % Elapsed time: 0.618968 seconds
% 0.40/0.93 % CPU time: 1.960442 seconds
% 0.40/0.93 % Total memory used: 673.475 MB
% 0.40/0.93 % Net memory used: 667.013 MB
%------------------------------------------------------------------------------