%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET820-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:10:41 PM UTC 2026
% Result : Unsatisfiable 0.13s 10.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 34 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 31 ( 18 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 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/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [V_x,T_a] : c_in(V_x,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a),T_a),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_a,T_a,V_a_H] :
( V_a = V_a_H
| c_Datatype_Ooption_OSome(V_a,T_a) != c_Datatype_Ooption_OSome(V_a_H,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1358,negated_conjecture,
v_P(v_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1359,negated_conjecture,
! [V_V,V_U] :
( c_in(v_x(V_U),V_U,tc_IntDef_Oint)
| ~ c_in(V_V,V_U,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1360,negated_conjecture,
! [V_W,V_U] :
( ~ v_P(v_x(V_U))
| ~ c_in(V_W,V_U,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1361,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(f1362,plain,
! [X0,X1] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f1369,plain,
! [V_a,V_a_H] :
( V_a = V_a_H
| ! [T_a] : c_Datatype_Ooption_OSome(V_a,T_a) != c_Datatype_Ooption_OSome(V_a_H,T_a) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f1370,plain,
! [X0,X1,X2] :
( X0 = X2
| c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X2,X1) ),
inference(cnf_transformation,[status(thm)],[f1369]) ).
fof(f2836,plain,
v_P(v_a),
inference(cnf_transformation,[status(thm)],[f1358]) ).
fof(f2837,plain,
! [V_U] :
( c_in(v_x(V_U),V_U,tc_IntDef_Oint)
| ! [V_V] : ~ c_in(V_V,V_U,tc_IntDef_Oint) ),
inference(miniscoping,[status(thm)],[f1359]) ).
fof(f2838,plain,
! [X0,X1] :
( c_in(v_x(X1),X1,tc_IntDef_Oint)
| ~ c_in(X0,X1,tc_IntDef_Oint) ),
inference(cnf_transformation,[status(thm)],[f2837]) ).
fof(f2839,plain,
! [V_U] :
( ~ v_P(v_x(V_U))
| ! [V_W] : ~ c_in(V_W,V_U,tc_IntDef_Oint) ),
inference(miniscoping,[status(thm)],[f1360]) ).
fof(f2840,plain,
! [X0,X1] :
( ~ v_P(v_x(X1))
| ~ c_in(X0,X1,tc_IntDef_Oint) ),
inference(cnf_transformation,[status(thm)],[f2839]) ).
fof(f2842,plain,
! [X0,X1] :
( ~ c_in(X1,c_Datatype_Oo2s(X0,tc_IntDef_Oint),tc_IntDef_Oint)
| X0 = c_Datatype_Ooption_OSome(v_x(c_Datatype_Oo2s(X0,tc_IntDef_Oint)),tc_IntDef_Oint) ),
inference(resolution,[status(thm)],[f1361,f2838]) ).
fof(f2844,plain,
! [X0] : ~ v_P(v_x(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,tc_IntDef_Oint),tc_IntDef_Oint))),
inference(resolution,[status(thm)],[f1362,f2840]) ).
fof(f2857,plain,
! [X0,X1] :
( ~ c_in(X1,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| X0 = v_x(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,tc_IntDef_Oint),tc_IntDef_Oint)) ),
inference(resolution,[status(thm)],[f1370,f2842]) ).
fof(f2872,plain,
! [X0] : X0 = v_x(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,tc_IntDef_Oint),tc_IntDef_Oint)),
inference(resolution,[status(thm)],[f2857,f1362]) ).
fof(f2876,plain,
! [X0] : ~ v_P(X0),
inference(backward_demodulation,[status(thm)],[f2872,f2844]) ).
fof(f2884,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f2836,f2876]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET820-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n018.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Mon Sep 21 05:41:39 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.39 % Drodi V4.1.1
% 0.13/10.42 % Refutation found
% 0.13/10.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/10.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/10.46 % Elapsed time: 0.082661 seconds
% 0.13/10.46 % CPU time: 0.232318 seconds
% 0.13/10.46 % Total memory used: 151.070 MB
% 0.13/10.46 % Net memory used: 150.628 MB
%------------------------------------------------------------------------------