TSTP Solution File: ANA009-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ANA009-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:01:24 EDT 2023
% Result : Unsatisfiable 13.28s 2.19s
% Output : CNFRefutation 14.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 47 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 43 (; 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1065,axiom,
! [T_a,V_a] :
( ~ class_OrderedGroup_Oab__group__add(T_a)
| c_plus(c_uminus(V_a,T_a),V_a,T_a) = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1083,axiom,
! [T_a,V_a,V_b,V_c] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
| ~ c_lessequals(V_a,V_b,T_a)
| c_lessequals(c_plus(V_a,V_c,T_a),c_plus(V_b,V_c,T_a),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1110,axiom,
! [T_a,V_y] :
( ~ class_OrderedGroup_Oab__group__add(T_a)
| c_uminus(c_uminus(V_y,T_a),T_a) = V_y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2448,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2451,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_OrderedGroup_Oab__group__add(T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2783,negated_conjecture,
! [V_U] : c_lessequals(v_lb(V_U),v_f(V_U),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2785,negated_conjecture,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2786,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4211,plain,
! [T_a] :
( ~ class_OrderedGroup_Oab__group__add(T_a)
| ! [V_a] : c_plus(c_uminus(V_a,T_a),V_a,T_a) = c_0 ),
inference(miniscoping,[status(esa)],[f1065]) ).
fof(f4212,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(c_uminus(X1,X0),X1,X0) = c_0 ),
inference(cnf_transformation,[status(esa)],[f4211]) ).
fof(f4242,plain,
! [T_a,V_a,V_b] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
| ~ c_lessequals(V_a,V_b,T_a)
| ! [V_c] : c_lessequals(c_plus(V_a,V_c,T_a),c_plus(V_b,V_c,T_a),T_a) ),
inference(miniscoping,[status(esa)],[f1083]) ).
fof(f4243,plain,
! [X0,X1,X2,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
| ~ c_lessequals(X1,X2,X0)
| c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f4242]) ).
fof(f4286,plain,
! [T_a] :
( ~ class_OrderedGroup_Oab__group__add(T_a)
| ! [V_y] : c_uminus(c_uminus(V_y,T_a),T_a) = V_y ),
inference(miniscoping,[status(esa)],[f1110]) ).
fof(f4287,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_uminus(c_uminus(X1,X0),X0) = X1 ),
inference(cnf_transformation,[status(esa)],[f4286]) ).
fof(f5886,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
inference(cnf_transformation,[status(esa)],[f2448]) ).
fof(f5889,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[status(esa)],[f2451]) ).
fof(f6223,plain,
! [X0] : c_lessequals(v_lb(X0),v_f(X0),t_b),
inference(cnf_transformation,[status(esa)],[f2783]) ).
fof(f6225,plain,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
inference(cnf_transformation,[status(esa)],[f2785]) ).
fof(f6226,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[status(esa)],[f2786]) ).
fof(f6718,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[status(thm)],[f5889,f6226]) ).
fof(f8718,plain,
! [X0] : c_uminus(c_uminus(X0,t_b),t_b) = X0,
inference(resolution,[status(thm)],[f4287,f6718]) ).
fof(f9080,plain,
! [X0] : c_plus(c_uminus(X0,t_b),X0,t_b) = c_0,
inference(resolution,[status(thm)],[f4212,f6718]) ).
fof(f9083,plain,
! [X0] : c_plus(X0,c_uminus(X0,t_b),t_b) = c_0,
inference(paramodulation,[status(thm)],[f8718,f9080]) ).
fof(f12895,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X0,X1,X2)
| c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(resolution,[status(thm)],[f4243,f5886]) ).
fof(f12907,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,X1,t_b)
| c_lessequals(c_plus(X0,X2,t_b),c_plus(X1,X2,t_b),t_b) ),
inference(resolution,[status(thm)],[f12895,f6226]) ).
fof(f13670,plain,
! [X0,X1] : c_lessequals(c_plus(v_lb(X0),X1,t_b),c_plus(v_f(X0),X1,t_b),t_b),
inference(resolution,[status(thm)],[f12907,f6223]) ).
fof(f13674,plain,
! [X0] : c_lessequals(c_0,c_plus(v_f(X0),c_uminus(v_lb(X0),t_b),t_b),t_b),
inference(paramodulation,[status(thm)],[f9083,f13670]) ).
fof(f15837,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6225,f13674]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA009-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:56:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.46 % Drodi V3.5.1
% 13.28/2.19 % Refutation found
% 13.28/2.19 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 13.28/2.19 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.01/2.25 % Elapsed time: 1.894539 seconds
% 14.01/2.25 % CPU time: 14.055356 seconds
% 14.01/2.25 % Memory used: 400.150 MB
%------------------------------------------------------------------------------