%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW313+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 : n014.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 0.88s 6.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW313+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n014.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 09:46:41 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.78/6.08 % Drodi V4.1.1
% 0.88/6.36 % Refutation found
% 0.88/6.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.88/6.36 % SZS output start CNFRefutation for theBenchmark
% 0.88/6.36 fof(f2,axiom,(
% 0.88/6.36 (! [V_G_2,V_tsa_2,T_b] :( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_G_2))=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) )),
% 0.88/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.88/6.36 fof(f4,axiom,(
% 0.88/6.36 (! [V_G_2,V_tsa_2,V_G_Ha_2,T_b] :( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_Ha_2,V_tsa_2)=> ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_Ha_2)=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) ) )),
% 0.88/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.88/6.36 fof(f5226,hypothesis,(
% 0.88/6.36 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)) ),
% 0.88/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.88/6.36 fof(f5227,hypothesis,(
% 0.88/6.36 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)) ),
% 0.88/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.88/6.36 fof(f5228,conjecture,(
% 0.88/6.36 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts) ),
% 0.88/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.88/6.36 fof(f5229,negated_conjecture,(
% 0.88/6.36 ~(c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts) )),
% 0.88/6.36 inference(negated_conjecture,[status(cth)],[f5228])).
% 0.88/6.36 fof(f5233,plain,(
% 0.88/6.36 ![V_G_2,V_tsa_2,T_b]: (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_G_2))|c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2))),
% 0.88/6.36 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.88/6.36 fof(f5234,plain,(
% 0.88/6.36 ![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))),
% 0.88/6.36 inference(cnf_transformation,[status(thm)],[f5233])).
% 0.88/6.36 fof(f5238,plain,(
% 0.88/6.36 ![V_G_2,V_tsa_2,V_G_Ha_2,T_b]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_Ha_2,V_tsa_2)|(~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_Ha_2)|c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2)))),
% 0.88/6.36 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.88/6.36 fof(f5239,plain,(
% 0.88/6.36 ![V_tsa_2,V_G_Ha_2,T_b]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_Ha_2,V_tsa_2)|(![V_G_2]: (~c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_Ha_2)|c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2))))),
% 0.88/6.36 inference(miniscoping,[status(thm)],[f5238])).
% 0.88/6.36 fof(f5240,plain,(
% 0.88/6.36 ![X0,X1,X2,X3]: (~c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X1)|c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2))),
% 0.88/6.36 inference(cnf_transformation,[status(thm)],[f5239])).
% 0.88/6.36 fof(f20151,plain,(
% 0.88/6.36 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G))),
% 0.88/6.36 inference(cnf_transformation,[status(thm)],[f5226])).
% 0.88/6.36 fof(f20152,plain,(
% 0.88/6.36 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga))),
% 0.88/6.36 inference(cnf_transformation,[status(thm)],[f5227])).
% 0.88/6.36 fof(f20153,plain,(
% 0.88/6.36 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts)),
% 0.88/6.36 inference(cnf_transformation,[status(thm)],[f5229])).
% 0.88/6.36 fof(f20991,plain,(
% 0.88/6.36 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G)),
% 0.88/6.36 inference(resolution,[status(thm)],[f5234,f20152])).
% 0.88/6.36 fof(f20992,plain,(
% 0.88/6.36 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts)),
% 0.88/6.36 inference(resolution,[status(thm)],[f5234,f20151])).
% 0.88/6.36 fof(f21012,plain,(
% 0.88/6.36 ![X0]: (~c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_G)|c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts))),
% 0.88/6.36 inference(resolution,[status(thm)],[f20992,f5240])).
% 0.88/6.36 fof(f21013,plain,(
% 0.88/6.36 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts)),
% 0.88/6.36 inference(resolution,[status(thm)],[f21012,f20991])).
% 0.88/6.36 fof(f21014,plain,(
% 0.88/6.36 $false),
% 0.88/6.36 inference(forward_subsumption_resolution,[status(thm)],[f21013,f20153])).
% 0.88/6.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.88/6.40 % Elapsed time: 1.017617 seconds
% 0.88/6.40 % CPU time: 2.449048 seconds
% 0.88/6.40 % Total memory used: 669.324 MB
% 0.88/6.40 % Net memory used: 662.936 MB
%------------------------------------------------------------------------------