%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET821-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 0.26s 0.58s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 11 unt; 2 def)
% Number of atoms : 66 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 29 ~; 27 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 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(f123,axiom,
! [T_a,V_x] :
( ~ c_less(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f352,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1358,negated_conjecture,
c_less(v_a,v_b,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1359,negated_conjecture,
c_less(v_b,v_c,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1360,negated_conjecture,
! [V_U] :
( c_in(v_a,V_U,tc_IntDef_Oint)
| ~ c_in(v_b,V_U,tc_IntDef_Oint)
| c_in(v_c,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(f1529,plain,
! [T_a] :
( ! [V_x] : ~ c_less(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(miniscoping,[status(thm)],[f123]) ).
fof(f1530,plain,
! [X0,X1] :
( ~ c_less(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(thm)],[f1529]) ).
fof(f1827,plain,
class_Orderings_Oorder(tc_IntDef_Oint),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f2836,plain,
c_less(v_a,v_b,tc_IntDef_Oint),
inference(cnf_transformation,[status(thm)],[f1358]) ).
fof(f2837,plain,
c_less(v_b,v_c,tc_IntDef_Oint),
inference(cnf_transformation,[status(thm)],[f1359]) ).
fof(f2838,plain,
! [X0] :
( c_in(v_a,X0,tc_IntDef_Oint)
| ~ c_in(v_b,X0,tc_IntDef_Oint)
| c_in(v_c,X0,tc_IntDef_Oint) ),
inference(cnf_transformation,[status(thm)],[f1360]) ).
fof(f2843,plain,
! [X0] :
( X0 = c_Datatype_Ooption_OSome(v_c,tc_IntDef_Oint)
| c_in(v_a,c_Datatype_Oo2s(X0,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_in(v_b,c_Datatype_Oo2s(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(resolution,[status(thm)],[f2838,f1361]) ).
fof(f2844,plain,
( c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint) = c_Datatype_Ooption_OSome(v_c,tc_IntDef_Oint)
| c_in(v_a,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(resolution,[status(thm)],[f2843,f1362]) ).
fof(f2845,definition,
( sQ0_spl
<=> c_in(v_a,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f2846,plain,
( ~ sQ0_spl
| c_in(v_a,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(component_clause,[status(thm)],[f2845]) ).
fof(f2848,definition,
( sQ1_spl
<=> c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint) = c_Datatype_Ooption_OSome(v_c,tc_IntDef_Oint) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f2849,plain,
( ~ sQ1_spl
| c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint) = c_Datatype_Ooption_OSome(v_c,tc_IntDef_Oint) ),
inference(component_clause,[status(thm)],[f2848]) ).
fof(f2851,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2844,f2845,f2848]) ).
fof(f2859,plain,
( ~ sQ0_spl
| c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint) = c_Datatype_Ooption_OSome(v_a,tc_IntDef_Oint) ),
inference(resolution,[status(thm)],[f2846,f1361]) ).
fof(f2876,plain,
( ~ sQ1_spl
| v_b = v_c ),
inference(resolution,[status(thm)],[f1370,f2849]) ).
fof(f2897,plain,
( ~ sQ1_spl
| c_less(v_b,v_b,tc_IntDef_Oint) ),
inference(backward_demodulation,[status(thm)],[f2876,f2837]) ).
fof(f3179,plain,
( ~ sQ1_spl
| ~ class_Orderings_Oorder(tc_IntDef_Oint) ),
inference(resolution,[status(thm)],[f1530,f2897]) ).
fof(f3188,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3179,f1827]) ).
fof(f3189,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f3188]) ).
fof(f3216,plain,
( ~ sQ0_spl
| v_b = v_a ),
inference(resolution,[status(thm)],[f2859,f1370]) ).
fof(f3228,plain,
( ~ sQ0_spl
| c_less(v_a,v_a,tc_IntDef_Oint) ),
inference(backward_demodulation,[status(thm)],[f3216,f2836]) ).
fof(f3229,plain,
( ~ sQ0_spl
| ~ class_Orderings_Oorder(tc_IntDef_Oint) ),
inference(resolution,[status(thm)],[f3228,f1530]) ).
fof(f3230,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3229,f1827]) ).
fof(f3231,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f3230]) ).
fof(f3232,plain,
$false,
inference(sat_refutation,[status(thm)],[f2851,f3189,f3231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET821-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 % Computer : n011.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Mon Sep 21 05:39:40 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.26/0.51 % Drodi V4.1.1
% 0.26/0.58 % Refutation found
% 0.26/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.26/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.61 % Elapsed time: 0.162588 seconds
% 0.26/0.61 % CPU time: 0.565499 seconds
% 0.26/0.61 % Total memory used: 153.778 MB
% 0.26/0.61 % Net memory used: 153.395 MB
%------------------------------------------------------------------------------