%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV898-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 02:49:45 PM UTC 2026
% Result : Unsatisfiable 0.24s 10.58s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f556,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f572,axiom,
! [V_h,V_F,T_a,T_b] :
( ~ c_Finite__Set_Ofinite(V_F,T_a)
| c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f586,negated_conjecture,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1486,plain,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f1512,plain,
! [V_F,T_a] :
( ~ c_Finite__Set_Ofinite(V_F,T_a)
| ! [V_h,T_b] : c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b) ),
inference(miniscoping,[status(thm)],[f572]) ).
fof(f1513,plain,
! [X0,X1,X2,X3] :
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_Set_Oimage(X0,X1,X2,X3),X3) ),
inference(cnf_transformation,[status(thm)],[f1512]) ).
fof(f1531,plain,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f1643,plain,
~ c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
inference(resolution,[status(thm)],[f1513,f1531]) ).
fof(f1644,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1643,f1486]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV898-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/10.47 % Computer : n003.cluster.edu
% 0.18/10.47 % Model : x86_64 x86_64
% 0.18/10.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.47 % Memory : 8046.5625MB
% 0.18/10.47 % OS : Linux 6.8.0-71-generic
% 0.18/10.47 % CPULimit : 300
% 0.18/10.47 % WCLimit : 300
% 0.18/10.47 % DateTime : Mon Sep 21 09:32:41 UTC 2026
% 0.18/10.47 % CPUTime :
% 0.24/10.54 % Drodi V4.1.1
% 0.24/10.58 % Refutation found
% 0.24/10.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/10.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/10.63 % Elapsed time: 0.146498 seconds
% 0.24/10.63 % CPU time: 0.255860 seconds
% 0.24/10.63 % Total memory used: 66.700 MB
% 0.24/10.63 % Net memory used: 66.573 MB
%------------------------------------------------------------------------------