TSTP Solution File: ANA023-10 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n021.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 : 300s
% DateTime : Tue Jul 26 06:56:34 EDT 2022
% Result : Unsatisfiable 0.88s 1.07s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of clauses : 57 ( 57 unt; 0 nHn; 36 RR)
% Number of literals : 57 ( 56 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-4 aty)
% Number of variables : 41 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = ifeq2(B,B,A,C),
file('/tmp/MaedMax_17259') ).
cnf(eq_1,axiom,
A = ifeq(B,B,A,C),
file('/tmp/MaedMax_17259') ).
cnf(eq_2,axiom,
A = ifeq2(class_OrderedGroup_Ocomm__monoid__add(B),true,c_plus(c_0,A,B),A),
file('/tmp/MaedMax_17259') ).
cnf(eq_3,axiom,
ifeq(class_OrderedGroup_Opordered__ab__group__add(A),true,ifeq(c_lessequals(B,c_minus(C,T_a,A),A),true,c_lessequals(c_plus(B,T_a,A),C,A),true),true) = true,
file('/tmp/MaedMax_17259') ).
cnf(eq_4,axiom,
ifeq(class_OrderedGroup_Opordered__ab__group__add(A),true,ifeq(c_lessequals(c_plus(B,C,A),T_a,A),true,c_lessequals(B,c_minus(T_a,C,A),A),true),true) = true,
file('/tmp/MaedMax_17259') ).
cnf(eq_5,axiom,
ifeq(class_Orderings_Oorder(A),true,ifeq(c_lessequals(B,C,A),true,ifeq(c_lessequals(C,T_a,A),true,c_lessequals(B,T_a,A),true),true),true) = true,
file('/tmp/MaedMax_17259') ).
cnf(eq_6,axiom,
ifeq(class_Orderings_Olinorder(A),true,class_Orderings_Oorder(A),true) = true,
file('/tmp/MaedMax_17259') ).
cnf(eq_7,axiom,
ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_OrderedGroup_Ocomm__monoid__add(A),true) = true,
file('/tmp/MaedMax_17259') ).
cnf(eq_8,axiom,
ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_Orderings_Olinorder(A),true) = true,
file('/tmp/MaedMax_17259') ).
cnf(eq_9,axiom,
ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_OrderedGroup_Opordered__ab__group__add(A),true) = true,
file('/tmp/MaedMax_17259') ).
cnf(eq_10,axiom,
true = c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
file('/tmp/MaedMax_17259') ).
cnf(eq_11,axiom,
true = c_lessequals(v_k(v_x),v_f(v_x),t_b),
file('/tmp/MaedMax_17259') ).
cnf(eq_12,axiom,
true = class_Ring__and__Field_Oordered__idom(t_b),
file('/tmp/MaedMax_17259') ).
cnf(eq_13,negated_conjecture,
true != c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/tmp/MaedMax_17259') ).
cnf(eq_14,plain,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) = class_Ring__and__Field_Oordered__idom(t_b),
inference(rw,[status(thm)],[eq_12,eq_10]) ).
cnf(eq_15,plain,
A = ifeq2(class_OrderedGroup_Ocomm__monoid__add(B),c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),c_plus(c_0,A,B),A),
inference(rw,[status(thm)],[eq_2,eq_10]) ).
cnf(eq_16,plain,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) = c_lessequals(v_k(v_x),v_f(v_x),t_b),
inference(rw,[status(thm)],[eq_11,eq_10]) ).
cnf(eq_17,plain,
ifeq(class_Ring__and__Field_Oordered__idom(A),c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),class_Orderings_Olinorder(A),c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b)) = c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_10]),eq_10]),eq_10]) ).
cnf(eq_18,plain,
ifeq(class_Ring__and__Field_Oordered__idom(A),c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),class_OrderedGroup_Opordered__ab__group__add(A),c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b)) = c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_10]),eq_10]),eq_10]) ).
cnf(eq_19,plain,
ifeq(class_Ring__and__Field_Oordered__idom(A),c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),class_OrderedGroup_Ocomm__monoid__add(A),c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b)) = c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_10]),eq_10]),eq_10]) ).
cnf(eq_20,plain,
ifeq2(class_OrderedGroup_Ocomm__monoid__add(x100),class_Ring__and__Field_Oordered__idom(t_b),c_plus(c_0,x101,x100),x101) = x101,
inference(cp,[status(thm)],[eq_14,eq_15]) ).
cnf(eq_21,plain,
ifeq(c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b)) = c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(cp,[status(thm)],[eq_14,eq_19]) ).
cnf(eq_22,plain,
ifeq(c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),class_OrderedGroup_Opordered__ab__group__add(t_b),c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b)) = c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(cp,[status(thm)],[eq_14,eq_18]) ).
cnf(eq_23,plain,
ifeq(c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),class_Orderings_Olinorder(t_b),c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b)) = c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(cp,[status(thm)],[eq_14,eq_17]) ).
cnf(eq_24,plain,
c_lessequals(v_k(v_x),v_f(v_x),t_b) = class_Ring__and__Field_Oordered__idom(t_b),
inference(cp,[status(thm)],[eq_16,eq_14]) ).
cnf(eq_25,plain,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) = class_Orderings_Olinorder(t_b),
inference(rw,[status(thm)],[eq_23,eq_1]) ).
cnf(eq_26,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b) = c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(rw,[status(thm)],[eq_22,eq_1]) ).
cnf(eq_27,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b) = c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(rw,[status(thm)],[eq_21,eq_1]) ).
cnf(eq_28,plain,
A = ifeq2(class_OrderedGroup_Ocomm__monoid__add(B),class_Ring__and__Field_Oordered__idom(t_b),c_plus(c_0,A,B),A),
eq_20 ).
cnf(eq_29,plain,
class_Orderings_Olinorder(t_b) = class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(cp,[status(thm)],[eq_25,eq_26]) ).
cnf(eq_30,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b) = c_lessequals(v_k(v_x),v_f(v_x),t_b),
inference(cp,[status(thm)],[eq_26,eq_16]) ).
cnf(eq_31,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b) = class_Ring__and__Field_Oordered__idom(t_b),
inference(cp,[status(thm)],[eq_26,eq_14]) ).
cnf(eq_32,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b) = class_Ring__and__Field_Oordered__idom(t_b),
inference(cp,[status(thm)],[eq_27,eq_14]) ).
cnf(eq_33,plain,
ifeq(class_Orderings_Olinorder(A),class_Ring__and__Field_Oordered__idom(t_b),class_Orderings_Oorder(A),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_12]),eq_12]),eq_12]) ).
cnf(eq_34,plain,
ifeq(class_OrderedGroup_Opordered__ab__group__add(A),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(B,c_minus(C,T_a,A),A),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(c_plus(B,T_a,A),C,A),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_3,eq_12]),eq_12]),eq_12]),eq_12]),eq_12]) ).
cnf(eq_35,plain,
ifeq2(class_Ring__and__Field_Oordered__idom(t_b),class_Ring__and__Field_Oordered__idom(t_b),c_plus(c_0,x101,t_b),x101) = x101,
inference(cp,[status(thm)],[eq_32,eq_28]) ).
cnf(eq_36,plain,
ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),class_Ring__and__Field_Oordered__idom(t_b),ifeq(class_Ring__and__Field_Oordered__idom(t_b),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b),
inference(cp,[status(thm)],[eq_14,eq_34]) ).
cnf(eq_37,plain,
ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),class_Ring__and__Field_Oordered__idom(t_b),class_Orderings_Oorder(t_b),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b),
inference(cp,[status(thm)],[eq_29,eq_33]) ).
cnf(eq_38,plain,
class_Orderings_Oorder(t_b) = class_Ring__and__Field_Oordered__idom(t_b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_31]),eq_1]) ).
cnf(eq_39,plain,
c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b) = class_Ring__and__Field_Oordered__idom(t_b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_31]),eq_1]),eq_1]) ).
cnf(eq_40,plain,
A = c_plus(c_0,A,t_b),
inference(rw,[status(thm)],[eq_35,eq_0]) ).
cnf(eq_41,plain,
c_lessequals(v_g(v_x),v_k(v_x),t_b) = class_Ring__and__Field_Oordered__idom(t_b),
inference(cp,[status(thm)],[eq_40,eq_39]) ).
cnf(eq_42,plain,
class_Orderings_Oorder(t_b) = c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),
inference(cp,[status(thm)],[eq_38,eq_39]) ).
cnf(eq_43,plain,
c_lessequals(v_k(v_x),v_f(v_x),t_b) = c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(rw,[status(thm)],[eq_24,eq_41]) ).
cnf(eq_44,plain,
true = c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(rw,[status(thm)],[eq_12,eq_41]) ).
cnf(eq_45,plain,
ifeq(class_Orderings_Oorder(t_b),true,ifeq(c_lessequals(x101,v_k(v_x),t_b),true,ifeq(c_lessequals(v_g(v_x),v_k(v_x),t_b),true,c_lessequals(x101,v_f(v_x),t_b),true),true),true) = true,
inference(cp,[status(thm)],[eq_43,eq_5]) ).
cnf(eq_46,plain,
ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),true,ifeq(c_lessequals(A,x103,t_b),true,c_lessequals(c_0,c_minus(x103,A,t_b),t_b),true),true) = true,
inference(cp,[status(thm)],[eq_40,eq_4]) ).
cnf(eq_47,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_43]),eq_44]) ).
cnf(eq_48,plain,
class_Orderings_Oorder(t_b) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_40]),eq_44]) ).
cnf(eq_49,plain,
ifeq(c_lessequals(A,v_k(v_x),t_b),true,c_lessequals(A,v_f(v_x),t_b),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_45,eq_48]),eq_44]),eq_1]),eq_1]) ).
cnf(eq_50,plain,
ifeq(c_lessequals(A,B,t_b),true,c_lessequals(c_0,c_minus(B,A,t_b),t_b),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_47]),eq_1]) ).
cnf(eq_51,plain,
ifeq(true,true,c_lessequals(v_g(v_x),v_f(v_x),t_b),true) = true,
inference(cp,[status(thm)],[eq_44,eq_49]) ).
cnf(eq_52,plain,
true = c_lessequals(v_g(v_x),v_f(v_x),t_b),
inference(rw,[status(thm)],[eq_51,eq_1]) ).
cnf(eq_53,plain,
ifeq(true,true,c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),true) = true,
inference(cp,[status(thm)],[eq_52,eq_50]) ).
cnf(eq_54,plain,
true = c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(rw,[status(thm)],[eq_53,eq_1]) ).
cnf(eq_55,negated_conjecture,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) != c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(cp,[status(thm)],[eq_54,eq_13]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 05:38:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.88/1.07 % SZS status Unsatisfiable
% 0.88/1.07 % SZS output start CNFRefutation for /tmp/MaedMax_17259
% See solution above
% 0.88/1.07
%------------------------------------------------------------------------------