TSTP Solution File: SET821-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET821-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:35:15 EDT 2023
% Result : Unsatisfiable 0.09s 0.28s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 65 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 29 ~; 26 |; 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 : 27 (; 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [V_x,V_xo,T_a] :
( ~ c_in(V_x,c_Datatype_Oo2s(V_xo,T_a),T_a)
| V_xo = c_Datatype_Ooption_OSome(V_x,T_a) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_a,T_a,V_a_H] :
( c_Datatype_Ooption_OSome(V_a,T_a) != c_Datatype_Ooption_OSome(V_a_H,T_a)
| V_a = V_a_H ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f123,axiom,
! [T_a,V_x] :
( ~ class_Orderings_Oorder(T_a)
| ~ c_less(V_x,V_x,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f352,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1358,negated_conjecture,
c_less(v_a,v_b,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1359,negated_conjecture,
c_less(v_b,v_c,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1360,negated_conjecture,
! [V_U] :
( c_in(v_c,V_U,tc_IntDef_Oint)
| ~ c_in(v_b,V_U,tc_IntDef_Oint)
| c_in(v_a,V_U,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1361,plain,
! [X0,X1,X2] :
( ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2)
| X1 = c_Datatype_Ooption_OSome(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f1362,plain,
! [X0,X1] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f1369,plain,
! [V_a,V_a_H] :
( ! [T_a] : c_Datatype_Ooption_OSome(V_a,T_a) != c_Datatype_Ooption_OSome(V_a_H,T_a)
| V_a = V_a_H ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f1370,plain,
! [X0,X1,X2] :
( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X2,X1)
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f1369]) ).
fof(f1529,plain,
! [T_a] :
( ~ class_Orderings_Oorder(T_a)
| ! [V_x] : ~ c_less(V_x,V_x,T_a) ),
inference(miniscoping,[status(esa)],[f123]) ).
fof(f1530,plain,
! [X0,X1] :
( ~ class_Orderings_Oorder(X0)
| ~ c_less(X1,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f1529]) ).
fof(f1827,plain,
class_Orderings_Oorder(tc_IntDef_Oint),
inference(cnf_transformation,[status(esa)],[f352]) ).
fof(f2836,plain,
c_less(v_a,v_b,tc_IntDef_Oint),
inference(cnf_transformation,[status(esa)],[f1358]) ).
fof(f2837,plain,
c_less(v_b,v_c,tc_IntDef_Oint),
inference(cnf_transformation,[status(esa)],[f1359]) ).
fof(f2838,plain,
! [X0] :
( c_in(v_c,X0,tc_IntDef_Oint)
| ~ c_in(v_b,X0,tc_IntDef_Oint)
| c_in(v_a,X0,tc_IntDef_Oint) ),
inference(cnf_transformation,[status(esa)],[f1360]) ).
fof(f2839,plain,
( spl0_0
<=> c_in(v_c,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(split_symbol_definition) ).
fof(f2840,plain,
( c_in(v_c,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f2839]) ).
fof(f2842,plain,
( spl0_1
<=> c_in(v_a,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(split_symbol_definition) ).
fof(f2843,plain,
( c_in(v_a,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f2842]) ).
fof(f2845,plain,
( c_in(v_c,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint),tc_IntDef_Oint),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)],[f1362,f2838]) ).
fof(f2846,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f2845,f2839,f2842]) ).
fof(f2849,plain,
( c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint) = c_Datatype_Ooption_OSome(v_c,tc_IntDef_Oint)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f2840,f1361]) ).
fof(f2852,plain,
( v_b = v_c
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f1370,f2849]) ).
fof(f2877,plain,
( c_less(v_b,v_b,tc_IntDef_Oint)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f2852,f2837]) ).
fof(f3618,plain,
( ~ class_Orderings_Oorder(tc_IntDef_Oint)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f1530,f2877]) ).
fof(f3619,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f3618,f1827]) ).
fof(f3620,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f3619]) ).
fof(f3623,plain,
( c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint) = c_Datatype_Ooption_OSome(v_a,tc_IntDef_Oint)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f2843,f1361]) ).
fof(f3625,plain,
( v_b = v_a
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f3623,f1370]) ).
fof(f3631,plain,
( c_less(v_a,v_a,tc_IntDef_Oint)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f3625,f2836]) ).
fof(f3632,plain,
( ~ class_Orderings_Oorder(tc_IntDef_Oint)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f3631,f1530]) ).
fof(f3633,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f3632,f1827]) ).
fof(f3634,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f3633]) ).
fof(f3635,plain,
$false,
inference(sat_refutation,[status(thm)],[f2846,f3620,f3634]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.06 % Problem : SET821-1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n001.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 10:47:15 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.09/0.27 % Drodi V3.5.1
% 0.09/0.28 % Refutation found
% 0.09/0.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.30 % Elapsed time: 0.045271 seconds
% 0.09/0.30 % CPU time: 0.113329 seconds
% 0.09/0.30 % Memory used: 26.726 MB
%------------------------------------------------------------------------------