TSTP Solution File: ANA038-2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ANA038-2 : 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 19:14:49 EDT 2022
% Result : Unsatisfiable 0.20s 0.44s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 32 ( 14 unt; 0 nHn; 25 RR)
% Number of literals : 60 ( 0 equ; 29 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 36 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
c_lessequals(c_0,v_g(v_xa),t_b) ).
cnf(cls_conjecture_5,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b) ).
cnf(cls_conjecture_8,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b) ).
cnf(cls_Orderings_Ole__maxI2_0,axiom,
( ~ class_Orderings_Olinorder(T_b)
| c_lessequals(V_y,c_Orderings_Omax(V_x,V_y,T_b),T_b) ) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( ~ class_Orderings_Oorder(T_a)
| ~ c_lessequals(V_y,V_z,T_a)
| ~ c_lessequals(V_x,V_y,T_a)
| c_lessequals(V_x,V_z,T_a) ) ).
cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(T_a)
| ~ c_lessequals(V_a,V_b,T_a)
| ~ c_lessequals(c_0,V_c,T_a)
| c_lessequals(c_times(V_a,V_c,T_a),c_times(V_b,V_c,T_a),T_a) ) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Orderings_Olinorder(T) ) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Ring__and__Field_Opordered__semiring(T) ) ).
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_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b)
| ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),X_14,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X_14,t_b) ),
inference(subst,[],[cls_Orderings_Oorder__class_Oorder__trans_0:[bind(T_a,$fot(t_b)),bind(V_x,$fot(c_HOL_Oabs(v_b(v_xa),t_b))),bind(V_y,$fot(c_times(v_ca,v_g(v_xa),t_b))),bind(V_z,$fot(X_14))]]) ).
cnf(refute_0_1,plain,
( ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),X_14,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X_14,t_b) ),
inference(resolve,[$cnf( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b) )],[cls_conjecture_5,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_Orderings_Oorder(t_b) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__idom_44:[bind(T,$fot(t_b))]]) ).
cnf(refute_0_3,plain,
class_Orderings_Oorder(t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_b) )],[tfree_tcs,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),X_14,t_b)
| c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X_14,t_b) ),
inference(resolve,[$cnf( class_Orderings_Oorder(t_b) )],[refute_0_3,refute_0_1]) ).
cnf(refute_0_5,plain,
( ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),c_times(c_Orderings_Omax(X_199,v_ca,t_b),v_g(v_xa),t_b),t_b)
| c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(X_199,v_ca,t_b),v_g(v_xa),t_b),t_b) ),
inference(subst,[],[refute_0_4:[bind(X_14,$fot(c_times(c_Orderings_Omax(X_199,v_ca,t_b),v_g(v_xa),t_b)))]]) ).
cnf(refute_0_6,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_Orderings_Olinorder(t_b) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__idom_33:[bind(T,$fot(t_b))]]) ).
cnf(refute_0_7,plain,
class_Orderings_Olinorder(t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_b) )],[tfree_tcs,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ class_Orderings_Olinorder(t_b)
| c_lessequals(X_5,c_Orderings_Omax(X_4,X_5,t_b),t_b) ),
inference(subst,[],[cls_Orderings_Ole__maxI2_0:[bind(T_b,$fot(t_b)),bind(V_x,$fot(X_4)),bind(V_y,$fot(X_5))]]) ).
cnf(refute_0_9,plain,
c_lessequals(X_5,c_Orderings_Omax(X_4,X_5,t_b),t_b),
inference(resolve,[$cnf( class_Orderings_Olinorder(t_b) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
c_lessequals(X_196,c_Orderings_Omax(X_4,X_196,t_b),t_b),
inference(subst,[],[refute_0_9:[bind(X_5,$fot(X_196))]]) ).
cnf(refute_0_11,plain,
( ~ c_lessequals(X_186,X_187,t_b)
| ~ c_lessequals(c_0,v_g(v_xa),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| c_lessequals(c_times(X_186,v_g(v_xa),t_b),c_times(X_187,v_g(v_xa),t_b),t_b) ),
inference(subst,[],[cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0:[bind(T_a,$fot(t_b)),bind(V_a,$fot(X_186)),bind(V_b,$fot(X_187)),bind(V_c,$fot(v_g(v_xa)))]]) ).
cnf(refute_0_12,plain,
( ~ c_lessequals(X_186,X_187,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| c_lessequals(c_times(X_186,v_g(v_xa),t_b),c_times(X_187,v_g(v_xa),t_b),t_b) ),
inference(resolve,[$cnf( c_lessequals(c_0,v_g(v_xa),t_b) )],[cls_conjecture_3,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__idom_42:[bind(T,$fot(t_b))]]) ).
cnf(refute_0_14,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_b) )],[tfree_tcs,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ c_lessequals(X_186,X_187,t_b)
| c_lessequals(c_times(X_186,v_g(v_xa),t_b),c_times(X_187,v_g(v_xa),t_b),t_b) ),
inference(resolve,[$cnf( class_Ring__and__Field_Opordered__semiring(t_b) )],[refute_0_14,refute_0_12]) ).
cnf(refute_0_16,plain,
( ~ c_lessequals(X_196,c_Orderings_Omax(X_4,X_196,t_b),t_b)
| c_lessequals(c_times(X_196,v_g(v_xa),t_b),c_times(c_Orderings_Omax(X_4,X_196,t_b),v_g(v_xa),t_b),t_b) ),
inference(subst,[],[refute_0_15:[bind(X_186,$fot(X_196)),bind(X_187,$fot(c_Orderings_Omax(X_4,X_196,t_b)))]]) ).
cnf(refute_0_17,plain,
c_lessequals(c_times(X_196,v_g(v_xa),t_b),c_times(c_Orderings_Omax(X_4,X_196,t_b),v_g(v_xa),t_b),t_b),
inference(resolve,[$cnf( c_lessequals(X_196,c_Orderings_Omax(X_4,X_196,t_b),t_b) )],[refute_0_10,refute_0_16]) ).
cnf(refute_0_18,plain,
c_lessequals(c_times(v_ca,v_g(v_xa),t_b),c_times(c_Orderings_Omax(X_199,v_ca,t_b),v_g(v_xa),t_b),t_b),
inference(subst,[],[refute_0_17:[bind(X_196,$fot(v_ca)),bind(X_4,$fot(X_199))]]) ).
cnf(refute_0_19,plain,
c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(X_199,v_ca,t_b),v_g(v_xa),t_b),t_b),
inference(resolve,[$cnf( c_lessequals(c_times(v_ca,v_g(v_xa),t_b),c_times(c_Orderings_Omax(X_199,v_ca,t_b),v_g(v_xa),t_b),t_b) )],[refute_0_18,refute_0_5]) ).
cnf(refute_0_20,plain,
c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
inference(subst,[],[refute_0_19:[bind(X_199,$fot(v_c))]]) ).
cnf(refute_0_21,plain,
$false,
inference(resolve,[$cnf( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b) )],[refute_0_20,cls_conjecture_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA038-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n020.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 05:31:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44
% 0.20/0.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.45
%------------------------------------------------------------------------------