TSTP Solution File: ANA024-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 19:14:40 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 12 unt; 0 nHn; 16 RR)
% Number of literals : 49 ( 14 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Ocompare__rls__10_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(T_a)
| V_a = c_plus(c_minus(V_a,V_b,T_a),V_b,T_a) ) ).
cnf(cls_OrderedGroup_Ocompare__rls__9_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
| ~ c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a)
| c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a) ) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_k(V_U),v_f(V_U),t_b) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_0,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(T)
| class_OrderedGroup_Oab__group__add(T) ) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_OrderedGroup_Opordered__ab__group__add(T) ) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b) ).
cnf(refute_0_0,plain,
( ~ c_lessequals(c_plus(c_minus(X_4,X_10,t_b),X_10,t_b),X_11,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_minus(X_4,X_10,t_b),c_minus(X_11,X_10,t_b),t_b) ),
inference(subst,[],[cls_OrderedGroup_Ocompare__rls__9_1:[bind(T_a,$fot(t_b)),bind(V_a,$fot(c_minus(X_4,X_10,t_b))),bind(V_b,$fot(X_10)),bind(V_c,$fot(X_11))]]) ).
cnf(refute_0_1,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| class_OrderedGroup_Oab__group__add(t_b) ),
inference(subst,[],[clsrel_OrderedGroup_Opordered__ab__group__add_0:[bind(T,$fot(t_b))]]) ).
cnf(refute_0_2,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__idom_54:[bind(T,$fot(t_b))]]) ).
cnf(refute_0_3,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_b) )],[tfree_tcs,refute_0_2]) ).
cnf(refute_0_4,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolve,[$cnf( class_OrderedGroup_Opordered__ab__group__add(t_b) )],[refute_0_3,refute_0_1]) ).
cnf(refute_0_5,plain,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| X_4 = c_plus(c_minus(X_4,X_5,t_b),X_5,t_b) ),
inference(subst,[],[cls_OrderedGroup_Ocompare__rls__10_0:[bind(T_a,$fot(t_b)),bind(V_a,$fot(X_4)),bind(V_b,$fot(X_5))]]) ).
cnf(refute_0_6,plain,
X_4 = c_plus(c_minus(X_4,X_5,t_b),X_5,t_b),
inference(resolve,[$cnf( class_OrderedGroup_Oab__group__add(t_b) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
X_4 = c_plus(c_minus(X_4,X_10,t_b),X_10,t_b),
inference(subst,[],[refute_0_6:[bind(X_5,$fot(X_10))]]) ).
cnf(refute_0_8,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_9,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_10,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( X_4 != c_plus(c_minus(X_4,X_10,t_b),X_10,t_b)
| c_plus(c_minus(X_4,X_10,t_b),X_10,t_b) = X_4 ),
inference(subst,[],[refute_0_10:[bind(X,$fot(X_4)),bind(Y,$fot(c_plus(c_minus(X_4,X_10,t_b),X_10,t_b)))]]) ).
cnf(refute_0_12,plain,
c_plus(c_minus(X_4,X_10,t_b),X_10,t_b) = X_4,
inference(resolve,[$cnf( $equal(X_4,c_plus(c_minus(X_4,X_10,t_b),X_10,t_b)) )],[refute_0_7,refute_0_11]) ).
cnf(refute_0_13,plain,
( c_plus(c_minus(X_4,X_10,t_b),X_10,t_b) != X_4
| ~ c_lessequals(X_4,X_11,t_b)
| c_lessequals(c_plus(c_minus(X_4,X_10,t_b),X_10,t_b),X_11,t_b) ),
introduced(tautology,[equality,[$cnf( ~ c_lessequals(c_plus(c_minus(X_4,X_10,t_b),X_10,t_b),X_11,t_b) ),[0],$fot(X_4)]]) ).
cnf(refute_0_14,plain,
( ~ c_lessequals(X_4,X_11,t_b)
| c_lessequals(c_plus(c_minus(X_4,X_10,t_b),X_10,t_b),X_11,t_b) ),
inference(resolve,[$cnf( $equal(c_plus(c_minus(X_4,X_10,t_b),X_10,t_b),X_4) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ c_lessequals(X_4,X_11,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_minus(X_4,X_10,t_b),c_minus(X_11,X_10,t_b),t_b) ),
inference(resolve,[$cnf( c_lessequals(c_plus(c_minus(X_4,X_10,t_b),X_10,t_b),X_11,t_b) )],[refute_0_14,refute_0_0]) ).
cnf(refute_0_16,plain,
( ~ c_lessequals(X_4,X_11,t_b)
| c_lessequals(c_minus(X_4,X_10,t_b),c_minus(X_11,X_10,t_b),t_b) ),
inference(resolve,[$cnf( class_OrderedGroup_Opordered__ab__group__add(t_b) )],[refute_0_3,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ c_lessequals(v_k(V_U),v_f(V_U),t_b)
| c_lessequals(c_minus(v_k(V_U),X_12,t_b),c_minus(v_f(V_U),X_12,t_b),t_b) ),
inference(subst,[],[refute_0_16:[bind(X_10,$fot(X_12)),bind(X_11,$fot(v_f(V_U))),bind(X_4,$fot(v_k(V_U)))]]) ).
cnf(refute_0_18,plain,
c_lessequals(c_minus(v_k(V_U),X_12,t_b),c_minus(v_f(V_U),X_12,t_b),t_b),
inference(resolve,[$cnf( c_lessequals(v_k(V_U),v_f(V_U),t_b) )],[cls_conjecture_1,refute_0_17]) ).
cnf(refute_0_19,plain,
c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(subst,[],[refute_0_18:[bind(V_U,$fot(v_x)),bind(X_12,$fot(v_g(v_x)))]]) ).
cnf(refute_0_20,plain,
$false,
inference(resolve,[$cnf( c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b) )],[refute_0_19,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.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 05:10:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------