%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW311+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 : n001.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 1.30s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW311+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
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 09:52:15 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.79/1.06 % Drodi V4.1.1
% 0.90/1.30 % Refutation found
% 0.90/1.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.90/1.30 % SZS output start CNFRefutation for theBenchmark
% 0.90/1.30 fof(f2,axiom,(
% 0.90/1.30 (! [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) ) )),
% 0.90/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.90/1.30 fof(f4,axiom,(
% 0.90/1.30 (! [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) ) ) )),
% 0.90/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.90/1.30 fof(f5222,hypothesis,(
% 0.90/1.30 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts) ),
% 0.90/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.90/1.30 fof(f5223,conjecture,(
% 0.90/1.30 (! [B_G] :( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),B_G))=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,B_G,v_ts) ) )),
% 0.90/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.90/1.30 fof(f5224,negated_conjecture,(
% 0.90/1.30 ~((! [B_G] :( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),B_G))=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,B_G,v_ts) ) ))),
% 0.90/1.30 inference(negated_conjecture,[status(cth)],[f5223])).
% 0.90/1.30 fof(f5228,plain,(
% 0.90/1.30 ![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))),
% 0.90/1.30 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.90/1.30 fof(f5229,plain,(
% 0.90/1.30 ![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))),
% 0.90/1.30 inference(cnf_transformation,[status(thm)],[f5228])).
% 0.90/1.30 fof(f5233,plain,(
% 0.90/1.30 ![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)))),
% 0.90/1.30 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.90/1.30 fof(f5234,plain,(
% 0.90/1.30 ![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))))),
% 0.90/1.30 inference(miniscoping,[status(thm)],[f5233])).
% 0.90/1.30 fof(f5235,plain,(
% 0.90/1.30 ![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))),
% 0.90/1.30 inference(cnf_transformation,[status(thm)],[f5234])).
% 0.90/1.30 fof(f20099,plain,(
% 0.90/1.30 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts)),
% 0.90/1.30 inference(cnf_transformation,[status(thm)],[f5222])).
% 0.90/1.30 fof(f20100,plain,(
% 0.90/1.30 (?[B_G]: (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),B_G))&~c_Hoare__Mirabelle_Ohoare__derivs(t_a,B_G,v_ts)))),
% 0.90/1.30 inference(pre_NNF_transformation,[status(thm)],[f5224])).
% 0.90/1.31 fof(f20101,plain,(
% 0.90/1.31 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK574_skl))&~c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK574_skl,v_ts))),
% 0.90/1.31 inference(skolemize,[status(esa),new_symbols(skolem,[sK574_skl]),skolemize(B_G,sK574_skl)],[f20100])).
% 0.90/1.31 fof(f20102,plain,(
% 0.90/1.31 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK574_skl))),
% 0.90/1.31 inference(cnf_transformation,[status(thm)],[f20101])).
% 0.90/1.31 fof(f20103,plain,(
% 0.90/1.31 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK574_skl,v_ts)),
% 0.90/1.31 inference(cnf_transformation,[status(thm)],[f20101])).
% 0.90/1.31 fof(f20529,plain,(
% 0.90/1.31 c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK574_skl,v_G_H)),
% 0.90/1.31 inference(resolution,[status(thm)],[f5229,f20102])).
% 0.90/1.31 fof(f20530,plain,(
% 0.90/1.31 ![X0]: (~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,X0)|c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK574_skl,X0))),
% 0.90/1.31 inference(resolution,[status(thm)],[f5235,f20529])).
% 0.90/1.31 fof(f20536,plain,(
% 0.90/1.31 c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK574_skl,v_ts)),
% 0.90/1.36 inference(resolution,[status(thm)],[f20530,f20099])).
% 0.90/1.36 fof(f20539,plain,(
% 0.90/1.36 $false),
% 0.90/1.36 inference(forward_subsumption_resolution,[status(thm)],[f20536,f20103])).
% 0.90/1.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.91/1.41 % Elapsed time: 1.034643 seconds
% 0.91/1.41 % CPU time: 2.612594 seconds
% 0.91/1.41 % Total memory used: 667.835 MB
% 0.91/1.41 % Net memory used: 661.656 MB
%------------------------------------------------------------------------------