TSTP Solution File: ANA007-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ANA007-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 19:14:28 EDT 2022
% Result : Unsatisfiable 0.18s 0.34s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 12 unt; 0 nHn; 16 RR)
% Number of literals : 36 ( 14 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ 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) ).
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(cls_Ring__and__Field_Omult__cancel__right1_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(T_a)
| V_c = c_times(c_1,V_c,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,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),t_b),
inference(subst,[],[cls_conjecture_0:[bind(V_U,$fot(c_1))]]) ).
cnf(refute_0_1,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| X_6 = c_times(c_1,X_6,t_b) ),
inference(subst,[],[cls_Ring__and__Field_Omult__cancel__right1_2:[bind(T_a,$fot(t_b)),bind(V_c,$fot(X_6))]]) ).
cnf(refute_0_2,plain,
X_6 = c_times(c_1,X_6,t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_b) )],[tfree_tcs,refute_0_1]) ).
cnf(refute_0_3,plain,
c_HOL_Oabs(v_f(v_x(c_1)),t_b) = c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),
inference(subst,[],[refute_0_2:[bind(X_6,$fot(c_HOL_Oabs(v_f(v_x(c_1)),t_b)))]]) ).
cnf(refute_0_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( c_HOL_Oabs(v_f(v_x(c_1)),t_b) != c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b)
| c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b) = c_HOL_Oabs(v_f(v_x(c_1)),t_b) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(c_HOL_Oabs(v_f(v_x(c_1)),t_b))),bind(Y,$fot(c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b)))]]) ).
cnf(refute_0_8,plain,
c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b) = c_HOL_Oabs(v_f(v_x(c_1)),t_b),
inference(resolve,[$cnf( $equal(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b)) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
( c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b) != c_HOL_Oabs(v_f(v_x(c_1)),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b)
| c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),t_b) ),
introduced(tautology,[equality,[$cnf( ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),t_b) ),[1],$fot(c_HOL_Oabs(v_f(v_x(c_1)),t_b))]]) ).
cnf(refute_0_10,plain,
( ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b)
| c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),
inference(resolve,[$cnf( c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),t_b) )],[refute_0_10,refute_0_0]) ).
cnf(refute_0_12,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,$fot(t_b))]]) ).
cnf(refute_0_13,plain,
class_Orderings_Oorder(t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_b) )],[tfree_tcs,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(X_3,X_3,t_b) ),
inference(subst,[],[cls_Orderings_Oorder__class_Oaxioms__1_0:[bind(T_a,$fot(t_b)),bind(V_x,$fot(X_3))]]) ).
cnf(refute_0_15,plain,
c_lessequals(X_3,X_3,t_b),
inference(resolve,[$cnf( class_Orderings_Oorder(t_b) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(c_HOL_Oabs(v_f(v_x(c_1)),t_b)))]]) ).
cnf(refute_0_17,plain,
$false,
inference(resolve,[$cnf( 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) )],[refute_0_16,refute_0_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA007-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 06:52:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.34
% 0.18/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.35
%------------------------------------------------------------------------------