TSTP Solution File: ANA044-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ANA044-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 19:14:53 EDT 2022
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 13 unt; 0 nHn; 18 RR)
% Number of literals : 49 ( 13 equ; 24 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 34 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_0,v_l(V_U,V_V),t_b) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_0,v_h(V_U),t_b) ).
cnf(cls_conjecture_3,negated_conjecture,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b) ).
cnf(cls_OrderedGroup_Oabs__of__nonneg_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
| ~ c_lessequals(c_0,V_y,T_a)
| c_HOL_Oabs(V_y,T_a) = V_y ) ).
cnf(cls_Ring__and__Field_Omult__nonneg__nonneg_0,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
| ~ c_lessequals(c_0,V_b,T_a)
| ~ c_lessequals(c_0,V_a,T_a)
| c_lessequals(c_0,c_times(V_a,V_b,T_a),T_a) ) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Ring__and__Field_Opordered__cancel__semiring(T) ) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_OrderedGroup_Olordered__ab__group__abs(T) ) ).
cnf(refute_0_0,plain,
( ~ c_lessequals(c_0,c_times(v_l(X_60,X_61),v_h(X_62),t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_HOL_Oabs(c_times(v_l(X_60,X_61),v_h(X_62),t_b),t_b) = c_times(v_l(X_60,X_61),v_h(X_62),t_b) ),
inference(subst,[],[cls_OrderedGroup_Oabs__of__nonneg_0:[bind(T_a,$fot(t_b)),bind(V_y,$fot(c_times(v_l(X_60,X_61),v_h(X_62),t_b)))]]) ).
cnf(refute_0_1,plain,
( ~ c_lessequals(c_0,X_32,t_b)
| ~ c_lessequals(c_0,v_h(V_U),t_b)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_b)
| c_lessequals(c_0,c_times(X_32,v_h(V_U),t_b),t_b) ),
inference(subst,[],[cls_Ring__and__Field_Omult__nonneg__nonneg_0:[bind(T_a,$fot(t_b)),bind(V_a,$fot(X_32)),bind(V_b,$fot(v_h(V_U)))]]) ).
cnf(refute_0_2,plain,
( ~ c_lessequals(c_0,X_32,t_b)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_b)
| c_lessequals(c_0,c_times(X_32,v_h(V_U),t_b),t_b) ),
inference(resolve,[$cnf( c_lessequals(c_0,v_h(V_U),t_b) )],[cls_conjecture_1,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_Ring__and__Field_Opordered__cancel__semiring(t_b) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__idom_40:[bind(T,$fot(t_b))]]) ).
cnf(refute_0_4,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_b) )],[tfree_tcs,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ c_lessequals(c_0,X_32,t_b)
| c_lessequals(c_0,c_times(X_32,v_h(V_U),t_b),t_b) ),
inference(resolve,[$cnf( class_Ring__and__Field_Opordered__cancel__semiring(t_b) )],[refute_0_4,refute_0_2]) ).
cnf(refute_0_6,plain,
( ~ c_lessequals(c_0,v_l(V_U,V_V),t_b)
| c_lessequals(c_0,c_times(v_l(V_U,V_V),v_h(X_58),t_b),t_b) ),
inference(subst,[],[refute_0_5:[bind(V_U,$fot(X_58)),bind(X_32,$fot(v_l(V_U,V_V)))]]) ).
cnf(refute_0_7,plain,
c_lessequals(c_0,c_times(v_l(V_U,V_V),v_h(X_58),t_b),t_b),
inference(resolve,[$cnf( c_lessequals(c_0,v_l(V_U,V_V),t_b) )],[cls_conjecture_0,refute_0_6]) ).
cnf(refute_0_8,plain,
c_lessequals(c_0,c_times(v_l(X_60,X_61),v_h(X_62),t_b),t_b),
inference(subst,[],[refute_0_7:[bind(V_U,$fot(X_60)),bind(V_V,$fot(X_61)),bind(X_58,$fot(X_62))]]) ).
cnf(refute_0_9,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_HOL_Oabs(c_times(v_l(X_60,X_61),v_h(X_62),t_b),t_b) = c_times(v_l(X_60,X_61),v_h(X_62),t_b) ),
inference(resolve,[$cnf( c_lessequals(c_0,c_times(v_l(X_60,X_61),v_h(X_62),t_b),t_b) )],[refute_0_8,refute_0_0]) ).
cnf(refute_0_10,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__idom_50:[bind(T,$fot(t_b))]]) ).
cnf(refute_0_11,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_b) )],[tfree_tcs,refute_0_10]) ).
cnf(refute_0_12,plain,
c_HOL_Oabs(c_times(v_l(X_60,X_61),v_h(X_62),t_b),t_b) = c_times(v_l(X_60,X_61),v_h(X_62),t_b),
inference(resolve,[$cnf( class_OrderedGroup_Olordered__ab__group__abs(t_b) )],[refute_0_11,refute_0_9]) ).
cnf(refute_0_13,plain,
c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b) = c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),
inference(subst,[],[refute_0_12:[bind(X_60,$fot(v_x)),bind(X_61,$fot(v_xa)),bind(X_62,$fot(v_k(v_x,v_xa)))]]) ).
cnf(refute_0_14,plain,
( c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b) != c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b)
| c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b)
| c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) = c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b)) ),[1],$fot(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b))]]) ).
cnf(refute_0_15,plain,
( c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b)
| c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) = c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),
inference(resolve,[$cnf( $equal(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b)) )],[refute_0_15,cls_conjecture_3]) ).
cnf(refute_0_17,plain,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) = c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),
introduced(tautology,[refl,[$fot(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b))]]) ).
cnf(refute_0_18,plain,
$false,
inference(resolve,[$cnf( $equal(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b)) )],[refute_0_17,refute_0_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA044-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 8 05:51:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38
% 0.13/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.38
%------------------------------------------------------------------------------