TSTP Solution File: ANA013-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ANA013-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 : 600s
% DateTime : Thu Jul 14 19:14:32 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 15 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ 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) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( ~ class_Orderings_Oorder(T_a)
| c_lessequals(V_x,V_x,T_a) ) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Orderings_Oorder(T) ) ).
cnf(refute_0_0,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_Orderings_Oorder(t_b) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__idom_44:[bind(T,$fot(t_b))]]) ).
cnf(refute_0_1,plain,
class_Orderings_Oorder(t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_b) )],[tfree_tcs,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(X_2,X_2,t_b) ),
inference(subst,[],[cls_Orderings_Oorder__class_Oaxioms__1_0:[bind(T_a,$fot(t_b)),bind(V_x,$fot(X_2))]]) ).
cnf(refute_0_3,plain,
c_lessequals(X_2,X_2,t_b),
inference(resolve,[$cnf( class_Orderings_Oorder(t_b) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b)))]]) ).
cnf(refute_0_5,plain,
~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),
inference(subst,[],[cls_conjecture_0:[bind(V_U,$fot(c_HOL_Oabs(v_c,t_b)))]]) ).
cnf(refute_0_6,plain,
$false,
inference(resolve,[$cnf( c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b) )],[refute_0_4,refute_0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA013-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n012.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 : 600
% 0.12/0.34 % DateTime : Fri Jul 8 06:39:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------