%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW311+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 03:07:37 PM UTC 2026
% Result : Theorem 0.87s 6.27s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 9 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 29 ( 28 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [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) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5222,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5223,conjecture,
! [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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5224,negated_conjecture,
~ ! [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) ),
inference(negated_conjecture,[status(cth)],[f5223]) ).
fof(f5228,plain,
! [V_G_2,V_tsa_2,T_b] :
( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2)
| ~ 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)) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f5229,plain,
! [X0,X1,X2] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,X2,X1)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)),X1),X2)) ),
inference(cnf_transformation,[status(thm)],[f5228]) ).
fof(f5233,plain,
! [V_G_2,V_tsa_2,V_G_Ha_2,T_b] :
( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_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_Ha_2,V_tsa_2) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f5234,plain,
! [V_tsa_2,V_G_Ha_2,T_b] :
( ! [V_G_2] :
( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_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_Ha_2,V_tsa_2) ),
inference(miniscoping,[status(thm)],[f5233]) ).
fof(f5235,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5234]) ).
fof(f20099,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
inference(cnf_transformation,[status(thm)],[f5222]) ).
fof(f20100,plain,
? [B_G] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,B_G,v_ts)
& 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)) ),
inference(pre_NNF_transformation,[status(thm)],[f5224]) ).
fof(f20101,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK574_skl,v_ts)
& 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)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK574_skl]),skolemize(B_G,sK574_skl)],[f20100]) ).
fof(f20102,plain,
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)),
inference(cnf_transformation,[status(thm)],[f20101]) ).
fof(f20103,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK574_skl,v_ts),
inference(cnf_transformation,[status(thm)],[f20101]) ).
fof(f20931,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK574_skl,v_G_H),
inference(resolution,[status(thm)],[f5229,f20102]) ).
fof(f20933,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK574_skl,X0)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts) ),
inference(resolution,[status(thm)],[f5235,f20103]) ).
fof(f20943,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK574_skl,v_G_H),
inference(resolution,[status(thm)],[f20933,f20099]) ).
fof(f20945,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f20943,f20931]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW311+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n001.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 09:52:21 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.77/6.08 % Drodi V4.1.1
% 0.87/6.27 % Refutation found
% 0.87/6.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.87/6.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.90/6.37 % Elapsed time: 0.965710 seconds
% 0.90/6.37 % CPU time: 2.173665 seconds
% 0.90/6.37 % Total memory used: 665.225 MB
% 0.90/6.37 % Net memory used: 658.893 MB
%------------------------------------------------------------------------------