%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW312+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 03:08:57 PM UTC 2026
% Result : Theorem 0.90s 16.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW312+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/15.46 % Computer : n013.cluster.edu
% 0.18/15.46 % Model : x86_64 x86_64
% 0.18/15.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/15.46 % Memory : 8046.5625MB
% 0.18/15.46 % OS : Linux 6.8.0-71-generic
% 0.18/15.46 % CPULimit : 300
% 0.18/15.46 % WCLimit : 300
% 0.18/15.46 % DateTime : Mon Sep 21 09:46:21 UTC 2026
% 0.18/15.46 % CPUTime :
% 0.77/16.08 % Drodi V4.1.1
% 0.90/16.38 % Refutation found
% 0.90/16.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.90/16.38 % SZS output start CNFRefutation for theBenchmark
% 0.90/16.38 fof(f7,axiom,(
% 0.90/16.38 (! [V_tsa_2,V_t_2,V_G_2,T_b] :( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))=> ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2)=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_tsa_2)) ) ) )),
% 0.90/16.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.90/16.38 fof(f5243,hypothesis,(
% 0.90/16.38 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,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)))) ),
% 0.90/16.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.90/16.38 fof(f5244,hypothesis,(
% 0.90/16.38 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts) ),
% 0.90/16.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.90/16.38 fof(f5245,conjecture,(
% 0.90/16.38 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)) ),
% 0.90/16.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.90/16.38 fof(f5246,negated_conjecture,(
% 0.90/16.38 ~(c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)) )),
% 0.90/16.38 inference(negated_conjecture,[status(cth)],[f5245])).
% 0.90/16.38 fof(f5260,plain,(
% 0.90/16.38 ![V_tsa_2,V_t_2,V_G_2,T_b]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))|(~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2)|c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_tsa_2))))),
% 0.90/16.38 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.90/16.38 fof(f5261,plain,(
% 0.90/16.38 ![V_t_2,V_G_2,T_b]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))|(![V_tsa_2]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2)|c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_tsa_2)))))),
% 0.90/16.38 inference(miniscoping,[status(thm)],[f5260])).
% 0.90/16.38 fof(f5262,plain,(
% 0.90/16.38 ![X0,X1,X2,X3]: (~c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool))))|~c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X3)|c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X2),X3)))),
% 0.90/16.38 inference(cnf_transformation,[status(thm)],[f5261])).
% 0.90/16.38 fof(f19992,plain,(
% 0.90/16.38 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,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))))),
% 0.90/16.38 inference(cnf_transformation,[status(thm)],[f5243])).
% 0.90/16.38 fof(f19993,plain,(
% 0.90/16.38 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts)),
% 0.90/16.38 inference(cnf_transformation,[status(thm)],[f5244])).
% 0.90/16.38 fof(f19994,plain,(
% 0.90/16.38 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))),
% 0.90/16.38 inference(cnf_transformation,[status(thm)],[f5246])).
% 0.90/16.38 fof(f20472,plain,(
% 0.90/16.38 ![X0]: (~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X0)|c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),X0)))),
% 0.90/16.38 inference(resolution,[status(thm)],[f19992,f5262])).
% 0.90/16.38 fof(f20477,plain,(
% 0.90/16.38 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))),
% 0.90/16.38 inference(resolution,[status(thm)],[f20472,f19993])).
% 0.90/16.38 fof(f20480,plain,(
% 0.90/16.38 $false),
% 0.90/16.38 inference(forward_subsumption_resolution,[status(thm)],[f20477,f19994])).
% 0.90/16.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.91/16.42 % Elapsed time: 0.946719 seconds
% 0.91/16.42 % CPU time: 2.599731 seconds
% 0.91/16.42 % Total memory used: 668.854 MB
% 0.91/16.42 % Net memory used: 663.057 MB
%------------------------------------------------------------------------------