TSTP Solution File: ANA023-10 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ANA023-10 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 : Mon Jun 24 04:15:28 EDT 2024

% Result   : Unsatisfiable 0.47s 1.15s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   38 (  38 unt;   0 nHn;  20 RR)
%            Number of literals    :   38 (  37 equ;   1 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    :   17 (  17 usr;   4 con; 0-4 aty)
%            Number of variables   :   37 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ifeq2(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(c_50,plain,
    ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).

cnf(c_51,plain,
    ifeq2(class_OrderedGroup_Ocomm__monoid__add(X0),true,c_plus(c_0,X1,X0),X1) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).

cnf(c_52,plain,
    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,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).

cnf(c_53,plain,
    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,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).

cnf(c_54,plain,
    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,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(c_55,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',cls_conjecture_1) ).

cnf(c_56,negated_conjecture,
    c_lessequals(v_k(v_x),v_f(v_x),t_b) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_57,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',cls_conjecture_3) ).

cnf(c_58,plain,
    ifeq(class_Orderings_Olinorder(X0),true,class_Orderings_Oorder(X0),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).

cnf(c_59,plain,
    ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_OrderedGroup_Ocomm__monoid__add(X0),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).

cnf(c_60,plain,
    ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_Orderings_Olinorder(X0),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).

cnf(c_61,plain,
    ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_OrderedGroup_Opordered__ab__group__add(X0),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).

cnf(c_62,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(c_223,plain,
    ifeq(true,true,class_OrderedGroup_Ocomm__monoid__add(t_b),true) = true,
    inference(superposition,[status(thm)],[c_62,c_59]) ).

cnf(c_224,plain,
    class_OrderedGroup_Ocomm__monoid__add(t_b) = true,
    inference(demodulation,[status(thm)],[c_223,c_50]) ).

cnf(c_227,plain,
    ifeq(true,true,class_Orderings_Olinorder(t_b),true) = true,
    inference(superposition,[status(thm)],[c_62,c_60]) ).

cnf(c_228,plain,
    ifeq(true,true,class_OrderedGroup_Opordered__ab__group__add(t_b),true) = true,
    inference(superposition,[status(thm)],[c_62,c_61]) ).

cnf(c_229,plain,
    ifeq2(true,true,c_plus(c_0,X0,t_b),X0) = X0,
    inference(superposition,[status(thm)],[c_224,c_51]) ).

cnf(c_231,plain,
    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) = true,
    inference(superposition,[status(thm)],[c_55,c_52]) ).

cnf(c_232,plain,
    class_Orderings_Olinorder(t_b) = true,
    inference(demodulation,[status(thm)],[c_227,c_50]) ).

cnf(c_234,plain,
    ifeq(true,true,class_Orderings_Oorder(t_b),true) = true,
    inference(superposition,[status(thm)],[c_232,c_58]) ).

cnf(c_235,plain,
    class_OrderedGroup_Opordered__ab__group__add(t_b) = true,
    inference(demodulation,[status(thm)],[c_228,c_50]) ).

cnf(c_239,plain,
    class_Orderings_Oorder(t_b) = true,
    inference(demodulation,[status(thm)],[c_234,c_50]) ).

cnf(c_242,plain,
    c_plus(c_0,X0,t_b) = X0,
    inference(demodulation,[status(thm)],[c_229,c_49]) ).

cnf(c_248,plain,
    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) = true,
    inference(light_normalisation,[status(thm)],[c_231,c_235]) ).

cnf(c_249,plain,
    c_lessequals(v_g(v_x),v_k(v_x),t_b) = true,
    inference(demodulation,[status(thm)],[c_248,c_50,c_242]) ).

cnf(c_262,plain,
    ifeq(true,true,ifeq(c_lessequals(c_plus(X0,X1,t_b),X2,t_b),true,c_lessequals(X0,c_minus(X2,X1,t_b),t_b),true),true) = true,
    inference(superposition,[status(thm)],[c_235,c_53]) ).

cnf(c_269,plain,
    ifeq(c_lessequals(c_plus(X0,X1,t_b),X2,t_b),true,c_lessequals(X0,c_minus(X2,X1,t_b),t_b),true) = true,
    inference(demodulation,[status(thm)],[c_262,c_50]) ).

cnf(c_270,plain,
    ifeq(c_lessequals(X0,X1,t_b),true,c_lessequals(c_0,c_minus(X1,X0,t_b),t_b),true) = true,
    inference(superposition,[status(thm)],[c_242,c_269]) ).

cnf(c_279,plain,
    ifeq(class_Orderings_Oorder(t_b),true,ifeq(c_lessequals(X0,v_k(v_x),t_b),true,ifeq(true,true,c_lessequals(X0,v_f(v_x),t_b),true),true),true) = true,
    inference(superposition,[status(thm)],[c_56,c_54]) ).

cnf(c_287,plain,
    ifeq(true,true,ifeq(c_lessequals(X0,v_k(v_x),t_b),true,ifeq(true,true,c_lessequals(X0,v_f(v_x),t_b),true),true),true) = true,
    inference(light_normalisation,[status(thm)],[c_279,c_239]) ).

cnf(c_380,plain,
    ifeq(c_lessequals(X0,v_k(v_x),t_b),true,c_lessequals(X0,v_f(v_x),t_b),true) = true,
    inference(demodulation,[status(thm)],[c_287,c_50]) ).

cnf(c_381,plain,
    ifeq(true,true,c_lessequals(v_g(v_x),v_f(v_x),t_b),true) = true,
    inference(superposition,[status(thm)],[c_249,c_380]) ).

cnf(c_455,plain,
    c_lessequals(v_g(v_x),v_f(v_x),t_b) = true,
    inference(demodulation,[status(thm)],[c_381,c_50]) ).

cnf(c_460,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(superposition,[status(thm)],[c_455,c_270]) ).

cnf(c_486,plain,
    c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) = true,
    inference(demodulation,[status(thm)],[c_460,c_50]) ).

cnf(c_487,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_486,c_57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : ANA023-10 : TPTP v8.2.0. Released v7.5.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sun Jun 23 04:37:54 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.22/0.49  Running UEQ theorem proving
% 0.22/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.47/1.15  % SZS status Started for theBenchmark.p
% 0.47/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.15  
% 0.47/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.15  
% 0.47/1.15  ------  iProver source info
% 0.47/1.15  
% 0.47/1.15  git: date: 2024-06-12 09:56:46 +0000
% 0.47/1.15  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.47/1.15  git: non_committed_changes: false
% 0.47/1.15  
% 0.47/1.15  ------ Parsing...successful
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.47/1.15  ------ Proving...
% 0.47/1.15  ------ Problem Properties 
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  clauses                                 14
% 0.47/1.15  conjectures                             4
% 0.47/1.15  EPR                                     0
% 0.47/1.15  Horn                                    14
% 0.47/1.15  unary                                   14
% 0.47/1.15  binary                                  0
% 0.47/1.15  lits                                    14
% 0.47/1.15  lits eq                                 14
% 0.47/1.15  fd_pure                                 0
% 0.47/1.15  fd_pseudo                               0
% 0.47/1.15  fd_cond                                 0
% 0.47/1.15  fd_pseudo_cond                          0
% 0.47/1.15  AC symbols                              0
% 0.47/1.15  
% 0.47/1.15  ------ Input Options Time Limit: Unbounded
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ 
% 0.47/1.15  Current options:
% 0.47/1.15  ------ 
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ Proving...
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.15  
% 0.47/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.15  
% 0.47/1.15  
%------------------------------------------------------------------------------