TSTP Solution File: ANA007-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ANA007-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 7.97s 1.59s
% Output : CNFRefutation 7.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 26 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 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 : 20 (; 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1368,axiom,
! [T_a,V_c] :
( ~ class_Ring__and__Field_Oordered__idom(T_a)
| V_c = c_times(c_1,V_c,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1689,axiom,
! [T_a,V_x] :
( ~ class_Orderings_Oorder(T_a)
| c_lessequals(V_x,V_x,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2456,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Orderings_Oorder(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2783,negated_conjecture,
! [V_U] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(V_U)),t_b),c_times(V_U,c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2784,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4664,plain,
! [T_a] :
( ~ class_Ring__and__Field_Oordered__idom(T_a)
| ! [V_c] : V_c = c_times(c_1,V_c,T_a) ),
inference(miniscoping,[status(esa)],[f1368]) ).
fof(f4665,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| X1 = c_times(c_1,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f4664]) ).
fof(f5106,plain,
! [T_a] :
( ~ class_Orderings_Oorder(T_a)
| ! [V_x] : c_lessequals(V_x,V_x,T_a) ),
inference(miniscoping,[status(esa)],[f1689]) ).
fof(f5107,plain,
! [X0,X1] :
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f5106]) ).
fof(f5892,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(esa)],[f2456]) ).
fof(f6221,plain,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
inference(cnf_transformation,[status(esa)],[f2783]) ).
fof(f6222,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[status(esa)],[f2784]) ).
fof(f6243,plain,
! [X0] : X0 = c_times(c_1,X0,t_b),
inference(resolution,[status(thm)],[f4665,f6222]) ).
fof(f6244,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),
inference(paramodulation,[status(thm)],[f6243,f6221]) ).
fof(f7645,plain,
! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(resolution,[status(thm)],[f5107,f5892]) ).
fof(f7648,plain,
! [X0] : c_lessequals(X0,X0,t_b),
inference(resolution,[status(thm)],[f7645,f6222]) ).
fof(f7649,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6244,f7648]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA007-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 09:49:17 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % Drodi V3.5.1
% 7.97/1.59 % Refutation found
% 7.97/1.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.97/1.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.97/1.62 % Elapsed time: 1.271703 seconds
% 7.97/1.62 % CPU time: 8.331497 seconds
% 7.97/1.62 % Memory used: 216.549 MB
%------------------------------------------------------------------------------