%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW314+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 : n006.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 1.40s 1.83s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f5226,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5230,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5231,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5232,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(negated_conjecture,[status(cth)],[f5231]) ).
fof(f5241,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(f5242,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)],[f5241]) ).
fof(f5243,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)],[f5242]) ).
fof(f20154,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
inference(cnf_transformation,[status(thm)],[f5226]) ).
fof(f20159,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
inference(cnf_transformation,[status(thm)],[f5230]) ).
fof(f20160,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(cnf_transformation,[status(thm)],[f5232]) ).
fof(f20997,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_G_H) ),
inference(resolution,[status(thm)],[f20154,f5243]) ).
fof(f20999,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(resolution,[status(thm)],[f20997,f20159]) ).
fof(f21000,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f20999,f20160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW314+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n006.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 09:46:28 UTC 2026
% 0.20/0.46 % CPUTime :
% 1.25/1.59 % Drodi V4.1.1
% 1.40/1.83 % Refutation found
% 1.40/1.83 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.40/1.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.40/2.02 % Elapsed time: 1.533976 seconds
% 1.40/2.02 % CPU time: 2.756361 seconds
% 1.40/2.02 % Total memory used: 561.993 MB
% 1.40/2.02 % Net memory used: 556.664 MB
%------------------------------------------------------------------------------