TSTP Solution File: ANA023-10 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ANA023-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 Apr 30 20:11:43 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 55 ( 55 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq2(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [T_a,V_y] : ifeq2(class_OrderedGroup_Ocomm__monoid__add(T_a),true,c_plus(c_0,V_y,T_a),V_y) = V_y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [T_a,V_a,V_c,V_b] : ifeq(class_OrderedGroup_Opordered__ab__group__add(T_a),true,ifeq(c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a),true,c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [T_a,V_a,V_b,V_c] : ifeq(class_OrderedGroup_Opordered__ab__group__add(T_a),true,ifeq(c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a),true,c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [T_a,V_x,V_y,V_z] : ifeq(class_Orderings_Oorder(T_a),true,ifeq(c_lessequals(V_x,V_y,T_a),true,ifeq(c_lessequals(V_y,V_z,T_a),true,c_lessequals(V_x,V_z,T_a),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
c_lessequals(v_k(v_x),v_f(v_x),t_b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [T] : ifeq(class_Orderings_Olinorder(T),true,class_Orderings_Oorder(T),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [T] : ifeq(class_Ring__and__Field_Oordered__idom(T),true,class_OrderedGroup_Ocomm__monoid__add(T),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [T] : ifeq(class_Ring__and__Field_Oordered__idom(T),true,class_Orderings_Olinorder(T),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [T] : ifeq(class_Ring__and__Field_Oordered__idom(T),true,class_OrderedGroup_Opordered__ab__group__add(T),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1,X2] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
! [X0,X1] : ifeq2(class_OrderedGroup_Ocomm__monoid__add(X0),true,c_plus(c_0,X1,X0),X1) = X1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : ifeq(class_OrderedGroup_Opordered__ab__group__add(X0),true,ifeq(c_lessequals(X1,c_minus(X2,X3,X0),X0),true,c_lessequals(c_plus(X1,X3,X0),X2,X0),true),true) = true,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : ifeq(class_OrderedGroup_Opordered__ab__group__add(X0),true,ifeq(c_lessequals(c_plus(X1,X2,X0),X3,X0),true,c_lessequals(X1,c_minus(X3,X2,X0),X0),true),true) = true,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
! [X0,X1,X2,X3] : ifeq(class_Orderings_Oorder(X0),true,ifeq(c_lessequals(X1,X2,X0),true,ifeq(c_lessequals(X2,X3,X0),true,c_lessequals(X1,X3,X0),true),true),true) = true,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f21,plain,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) = true,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f22,plain,
c_lessequals(v_k(v_x),v_f(v_x),t_b) = true,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) != true,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
! [X0] : ifeq(class_Orderings_Olinorder(X0),true,class_Orderings_Oorder(X0),true) = true,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0] : ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_OrderedGroup_Ocomm__monoid__add(X0),true) = true,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f26,plain,
! [X0] : ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_Orderings_Olinorder(X0),true) = true,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f27,plain,
! [X0] : ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_OrderedGroup_Opordered__ab__group__add(X0),true) = true,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
class_Ring__and__Field_Oordered__idom(t_b) = true,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f29,plain,
true = ifeq(true,true,class_OrderedGroup_Ocomm__monoid__add(t_b),true),
inference(paramodulation,[status(thm)],[f28,f25]) ).
fof(f30,plain,
true = class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(forward_demodulation,[status(thm)],[f16,f29]) ).
fof(f33,plain,
true = ifeq(true,true,class_Orderings_Olinorder(t_b),true),
inference(paramodulation,[status(thm)],[f28,f26]) ).
fof(f34,plain,
true = class_Orderings_Olinorder(t_b),
inference(forward_demodulation,[status(thm)],[f16,f33]) ).
fof(f36,plain,
true = ifeq(true,true,class_Orderings_Oorder(t_b),true),
inference(paramodulation,[status(thm)],[f34,f24]) ).
fof(f38,plain,
true = class_Orderings_Oorder(t_b),
inference(forward_demodulation,[status(thm)],[f16,f36]) ).
fof(f41,plain,
true = ifeq(true,true,class_OrderedGroup_Opordered__ab__group__add(t_b),true),
inference(paramodulation,[status(thm)],[f28,f27]) ).
fof(f42,plain,
true = class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(forward_demodulation,[status(thm)],[f16,f41]) ).
fof(f45,plain,
! [X0] : X0 = ifeq2(true,true,c_plus(c_0,X0,t_b),X0),
inference(paramodulation,[status(thm)],[f30,f17]) ).
fof(f46,plain,
! [X0] : X0 = c_plus(c_0,X0,t_b),
inference(forward_demodulation,[status(thm)],[f15,f45]) ).
fof(f50,plain,
true = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),true,ifeq(true,true,c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),true),true),
inference(paramodulation,[status(thm)],[f21,f18]) ).
fof(f53,plain,
true = ifeq(true,true,ifeq(true,true,c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),true),true),
inference(forward_demodulation,[status(thm)],[f42,f50]) ).
fof(f54,plain,
true = ifeq(true,true,c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),true),
inference(forward_demodulation,[status(thm)],[f16,f53]) ).
fof(f55,plain,
true = c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),
inference(forward_demodulation,[status(thm)],[f16,f54]) ).
fof(f56,plain,
true = c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(forward_demodulation,[status(thm)],[f46,f55]) ).
fof(f72,plain,
! [X0,X1] : true = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),true,ifeq(c_lessequals(X0,X1,t_b),true,c_lessequals(c_0,c_minus(X1,X0,t_b),t_b),true),true),
inference(paramodulation,[status(thm)],[f46,f19]) ).
fof(f75,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(c_lessequals(X0,X1,t_b),true,c_lessequals(c_0,c_minus(X1,X0,t_b),t_b),true),true),
inference(forward_demodulation,[status(thm)],[f42,f72]) ).
fof(f76,plain,
! [X0,X1] : true = ifeq(c_lessequals(X0,X1,t_b),true,c_lessequals(c_0,c_minus(X1,X0,t_b),t_b),true),
inference(forward_demodulation,[status(thm)],[f16,f75]) ).
fof(f132,plain,
! [X0] : true = ifeq(class_Orderings_Oorder(t_b),true,ifeq(true,true,ifeq(c_lessequals(v_k(v_x),X0,t_b),true,c_lessequals(v_g(v_x),X0,t_b),true),true),true),
inference(paramodulation,[status(thm)],[f56,f20]) ).
fof(f148,plain,
! [X0] : true = ifeq(true,true,ifeq(true,true,ifeq(c_lessequals(v_k(v_x),X0,t_b),true,c_lessequals(v_g(v_x),X0,t_b),true),true),true),
inference(forward_demodulation,[status(thm)],[f38,f132]) ).
fof(f149,plain,
! [X0] : true = ifeq(true,true,ifeq(c_lessequals(v_k(v_x),X0,t_b),true,c_lessequals(v_g(v_x),X0,t_b),true),true),
inference(forward_demodulation,[status(thm)],[f16,f148]) ).
fof(f150,plain,
! [X0] : true = ifeq(c_lessequals(v_k(v_x),X0,t_b),true,c_lessequals(v_g(v_x),X0,t_b),true),
inference(forward_demodulation,[status(thm)],[f16,f149]) ).
fof(f266,plain,
true = ifeq(true,true,c_lessequals(v_g(v_x),v_f(v_x),t_b),true),
inference(paramodulation,[status(thm)],[f22,f150]) ).
fof(f270,plain,
true = c_lessequals(v_g(v_x),v_f(v_x),t_b),
inference(forward_demodulation,[status(thm)],[f16,f266]) ).
fof(f279,plain,
true = ifeq(true,true,c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),true),
inference(paramodulation,[status(thm)],[f270,f76]) ).
fof(f287,plain,
true = c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(forward_demodulation,[status(thm)],[f16,f279]) ).
fof(f288,plain,
$false,
inference(resolution,[status(thm)],[f287,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ANA023-10 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 21:37:55 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.018461 seconds
% 0.14/0.37 % CPU time: 0.049243 seconds
% 0.14/0.37 % Total memory used: 4.161 MB
% 0.14/0.37 % Net memory used: 4.129 MB
%------------------------------------------------------------------------------