%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET818-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 02:10:40 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.60s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [V_x,V_xo,T_a] :
( V_xo = c_Datatype_Ooption_OSome(V_x,T_a)
| ~ c_in(V_x,c_Datatype_Oo2s(V_xo,T_a),T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_a_H,T_a] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1358,negated_conjecture,
! [V_U] : c_in(v_x(V_U),V_U,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1360,plain,
! [X0,X1,X2] :
( X1 = c_Datatype_Ooption_OSome(X0,X2)
| ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f1366,plain,
! [X0,X1] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X0,X1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f2835,plain,
! [X0] : c_in(v_x(X0),X0,tc_IntDef_Oint),
inference(cnf_transformation,[status(thm)],[f1358]) ).
fof(f2839,plain,
! [X0] : X0 = c_Datatype_Ooption_OSome(v_x(c_Datatype_Oo2s(X0,tc_IntDef_Oint)),tc_IntDef_Oint),
inference(resolution,[status(thm)],[f1360,f2835]) ).
fof(f2954,plain,
$false,
inference(resolution,[status(thm)],[f1366,f2839]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET818-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n005.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 05:39:18 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.26/0.57 % Drodi V4.1.1
% 0.26/0.60 % Refutation found
% 0.26/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.26/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.67 % Elapsed time: 0.221297 seconds
% 0.26/0.67 % CPU time: 0.240958 seconds
% 0.26/0.67 % Total memory used: 42.611 MB
% 0.26/0.67 % Net memory used: 42.488 MB
%------------------------------------------------------------------------------