TSTP Solution File: ANA013-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ANA013-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:01:25 EDT 2023
% Result : Unsatisfiable 9.92s 1.71s
% Output : CNFRefutation 9.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 27 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 26 (; 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1689,axiom,
! [T_a,V_x] :
( ~ class_Orderings_Oorder(T_a)
| c_lessequals(V_x,V_x,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2456,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Orderings_Oorder(T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2781,axiom,
! [T_a,V_a,V_b] :
( ~ class_Ring__and__Field_Oordered__idom(T_a)
| c_HOL_Oabs(c_times(V_a,V_b,T_a),T_a) = c_times(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2784,negated_conjecture,
! [V_U] : ~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),c_times(V_U,c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2785,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5107,plain,
! [T_a] :
( ~ class_Orderings_Oorder(T_a)
| ! [V_x] : c_lessequals(V_x,V_x,T_a) ),
inference(miniscoping,[status(esa)],[f1689]) ).
fof(f5108,plain,
! [X0,X1] :
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f5107]) ).
fof(f5893,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(esa)],[f2456]) ).
fof(f6218,plain,
! [T_a] :
( ~ class_Ring__and__Field_Oordered__idom(T_a)
| ! [V_a,V_b] : c_HOL_Oabs(c_times(V_a,V_b,T_a),T_a) = c_times(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a) ),
inference(miniscoping,[status(esa)],[f2781]) ).
fof(f6219,plain,
! [X0,X1,X2] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Oabs(c_times(X1,X2,X0),X0) = c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f6218]) ).
fof(f6224,plain,
! [X0] : ~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
inference(cnf_transformation,[status(esa)],[f2784]) ).
fof(f6225,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[status(esa)],[f2785]) ).
fof(f6477,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_b),t_b) = c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),
inference(resolution,[status(thm)],[f6219,f6225]) ).
fof(f6523,plain,
! [X0] : ~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_f(v_x(X0)),t_b),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
inference(backward_demodulation,[status(thm)],[f6477,f6224]) ).
fof(f6610,plain,
! [X0] : ~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_f(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),c_HOL_Oabs(c_times(X0,v_f(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),t_b),
inference(paramodulation,[status(thm)],[f6477,f6523]) ).
fof(f12988,plain,
! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(resolution,[status(thm)],[f5108,f5893]) ).
fof(f12991,plain,
! [X0] : c_lessequals(X0,X0,t_b),
inference(resolution,[status(thm)],[f12988,f6225]) ).
fof(f12992,plain,
$false,
inference(resolution,[status(thm)],[f12991,f6610]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : ANA013-1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n016.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:30:59 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.41 % Drodi V3.5.1
% 9.92/1.71 % Refutation found
% 9.92/1.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.92/1.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.92/1.75 % Elapsed time: 1.420913 seconds
% 9.92/1.75 % CPU time: 10.013878 seconds
% 9.92/1.75 % Memory used: 269.446 MB
%------------------------------------------------------------------------------