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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ANA023-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 : Fri May  3 02:05:33 EDT 2024

% Result   : Unsatisfiable 2.84s 1.15s
% Output   : CNFRefutation 2.84s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

cnf(c_112,plain,
    class_Ring__and__Field_Oordered__idom(t_b) = sP0_iProver_def,
    definition ).

cnf(c_113,plain,
    v_f(v_x) = sP1_iProver_def,
    definition ).

cnf(c_114,plain,
    v_g(v_x) = sP2_iProver_def,
    definition ).

cnf(c_115,plain,
    c_minus(sP1_iProver_def,sP2_iProver_def,t_b) = sP3_iProver_def,
    definition ).

cnf(c_116,plain,
    c_lessequals(c_0,sP3_iProver_def,t_b) = sP4_iProver_def,
    definition ).

cnf(c_117,plain,
    v_k(v_x) = sP5_iProver_def,
    definition ).

cnf(c_118,plain,
    c_lessequals(sP5_iProver_def,sP1_iProver_def,t_b) = sP6_iProver_def,
    definition ).

cnf(c_119,plain,
    c_minus(sP5_iProver_def,sP2_iProver_def,t_b) = sP7_iProver_def,
    definition ).

cnf(c_120,plain,
    c_lessequals(c_0,sP7_iProver_def,t_b) = sP8_iProver_def,
    definition ).

cnf(c_121,negated_conjecture,
    sP0_iProver_def = true,
    inference(demodulation,[status(thm)],[c_62,c_112]) ).

cnf(c_122,negated_conjecture,
    sP4_iProver_def != true,
    inference(demodulation,[status(thm)],[c_57,c_114,c_113,c_115,c_116]) ).

cnf(c_123,negated_conjecture,
    sP6_iProver_def = true,
    inference(demodulation,[status(thm)],[c_56,c_117,c_118]) ).

cnf(c_124,negated_conjecture,
    sP8_iProver_def = true,
    inference(demodulation,[status(thm)],[c_55,c_119,c_120]) ).

cnf(c_254,plain,
    sP0_iProver_def = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_123,c_121]) ).

cnf(c_255,plain,
    sP0_iProver_def = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_124,c_121]) ).

cnf(c_256,plain,
    sP0_iProver_def != sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_122,c_121]) ).

cnf(c_257,plain,
    c_lessequals(sP5_iProver_def,sP1_iProver_def,t_b) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_118,c_254]) ).

cnf(c_258,plain,
    c_lessequals(c_0,sP7_iProver_def,t_b) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_120,c_255]) ).

cnf(c_259,plain,
    ifeq(class_Orderings_Olinorder(X0),sP0_iProver_def,class_Orderings_Oorder(X0),sP0_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_58,c_121]) ).

cnf(c_260,plain,
    ifeq(class_Ring__and__Field_Oordered__idom(X0),sP0_iProver_def,class_OrderedGroup_Ocomm__monoid__add(X0),sP0_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_59,c_121]) ).

cnf(c_261,plain,
    ifeq(sP0_iProver_def,sP0_iProver_def,class_OrderedGroup_Ocomm__monoid__add(t_b),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_112,c_260]) ).

cnf(c_262,plain,
    class_OrderedGroup_Ocomm__monoid__add(t_b) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_261,c_50]) ).

cnf(c_265,plain,
    ifeq(class_Ring__and__Field_Oordered__idom(X0),sP0_iProver_def,class_Orderings_Olinorder(X0),sP0_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_60,c_121]) ).

cnf(c_266,plain,
    ifeq(sP0_iProver_def,sP0_iProver_def,class_Orderings_Olinorder(t_b),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_112,c_265]) ).

cnf(c_267,plain,
    class_Orderings_Olinorder(t_b) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_266,c_50]) ).

cnf(c_269,plain,
    ifeq(sP0_iProver_def,sP0_iProver_def,class_Orderings_Oorder(t_b),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_267,c_259]) ).

cnf(c_271,plain,
    class_Orderings_Oorder(t_b) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_269,c_50]) ).

cnf(c_274,plain,
    ifeq(class_Ring__and__Field_Oordered__idom(X0),sP0_iProver_def,class_OrderedGroup_Opordered__ab__group__add(X0),sP0_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_61,c_121]) ).

cnf(c_275,plain,
    ifeq(sP0_iProver_def,sP0_iProver_def,class_OrderedGroup_Opordered__ab__group__add(t_b),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_112,c_274]) ).

cnf(c_276,plain,
    class_OrderedGroup_Opordered__ab__group__add(t_b) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_275,c_50]) ).

cnf(c_279,plain,
    ifeq2(class_OrderedGroup_Ocomm__monoid__add(X0),sP0_iProver_def,c_plus(c_0,X1,X0),X1) = X1,
    inference(light_normalisation,[status(thm)],[c_51,c_121]) ).

cnf(c_280,plain,
    ifeq2(sP0_iProver_def,sP0_iProver_def,c_plus(c_0,X0,t_b),X0) = X0,
    inference(superposition,[status(thm)],[c_262,c_279]) ).

cnf(c_282,plain,
    c_plus(c_0,X0,t_b) = X0,
    inference(demodulation,[status(thm)],[c_280,c_49]) ).

cnf(c_285,plain,
    ifeq(class_OrderedGroup_Opordered__ab__group__add(X0),sP0_iProver_def,ifeq(c_lessequals(X1,c_minus(X2,X3,X0),X0),sP0_iProver_def,c_lessequals(c_plus(X1,X3,X0),X2,X0),sP0_iProver_def),sP0_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_52,c_121]) ).

cnf(c_289,plain,
    ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),sP0_iProver_def,ifeq(c_lessequals(c_0,c_minus(X0,X1,t_b),t_b),sP0_iProver_def,c_lessequals(X1,X0,t_b),sP0_iProver_def),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_282,c_285]) ).

cnf(c_290,plain,
    ifeq(sP0_iProver_def,sP0_iProver_def,ifeq(c_lessequals(c_0,c_minus(X0,X1,t_b),t_b),sP0_iProver_def,c_lessequals(X1,X0,t_b),sP0_iProver_def),sP0_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_289,c_276]) ).

cnf(c_297,plain,
    ifeq(class_OrderedGroup_Opordered__ab__group__add(X0),sP0_iProver_def,ifeq(c_lessequals(c_plus(X1,X2,X0),X3,X0),sP0_iProver_def,c_lessequals(X1,c_minus(X3,X2,X0),X0),sP0_iProver_def),sP0_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_53,c_121]) ).

cnf(c_298,plain,
    ifeq(sP0_iProver_def,sP0_iProver_def,ifeq(c_lessequals(c_plus(X0,X1,t_b),X2,t_b),sP0_iProver_def,c_lessequals(X0,c_minus(X2,X1,t_b),t_b),sP0_iProver_def),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_276,c_297]) ).

cnf(c_309,plain,
    ifeq(class_Orderings_Oorder(X0),sP0_iProver_def,ifeq(c_lessequals(X1,X2,X0),sP0_iProver_def,ifeq(c_lessequals(X2,X3,X0),sP0_iProver_def,c_lessequals(X1,X3,X0),sP0_iProver_def),sP0_iProver_def),sP0_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_54,c_121]) ).

cnf(c_310,plain,
    ifeq(sP0_iProver_def,sP0_iProver_def,ifeq(c_lessequals(X0,X1,t_b),sP0_iProver_def,ifeq(c_lessequals(X1,X2,t_b),sP0_iProver_def,c_lessequals(X0,X2,t_b),sP0_iProver_def),sP0_iProver_def),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_271,c_309]) ).

cnf(c_340,plain,
    ifeq(c_lessequals(c_0,c_minus(X0,X1,t_b),t_b),sP0_iProver_def,c_lessequals(X1,X0,t_b),sP0_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_290,c_50]) ).

cnf(c_342,plain,
    ifeq(c_lessequals(c_0,sP7_iProver_def,t_b),sP0_iProver_def,c_lessequals(sP2_iProver_def,sP5_iProver_def,t_b),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_119,c_340]) ).

cnf(c_346,plain,
    ifeq(sP0_iProver_def,sP0_iProver_def,c_lessequals(sP2_iProver_def,sP5_iProver_def,t_b),sP0_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_342,c_258]) ).

cnf(c_352,plain,
    c_lessequals(sP2_iProver_def,sP5_iProver_def,t_b) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_346,c_50]) ).

cnf(c_396,plain,
    ifeq(c_lessequals(c_plus(X0,X1,t_b),X2,t_b),sP0_iProver_def,c_lessequals(X0,c_minus(X2,X1,t_b),t_b),sP0_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_298,c_50]) ).

cnf(c_397,plain,
    ifeq(c_lessequals(X0,X1,t_b),sP0_iProver_def,c_lessequals(c_0,c_minus(X1,X0,t_b),t_b),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_282,c_396]) ).

cnf(c_405,plain,
    ifeq(c_lessequals(X0,X1,t_b),sP0_iProver_def,ifeq(c_lessequals(X1,X2,t_b),sP0_iProver_def,c_lessequals(X0,X2,t_b),sP0_iProver_def),sP0_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_310,c_50]) ).

cnf(c_411,plain,
    ifeq(c_lessequals(X0,sP5_iProver_def,t_b),sP0_iProver_def,ifeq(sP0_iProver_def,sP0_iProver_def,c_lessequals(X0,sP1_iProver_def,t_b),sP0_iProver_def),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_257,c_405]) ).

cnf(c_478,plain,
    ifeq(c_lessequals(sP2_iProver_def,sP1_iProver_def,t_b),sP0_iProver_def,c_lessequals(c_0,sP3_iProver_def,t_b),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_115,c_397]) ).

cnf(c_481,plain,
    ifeq(c_lessequals(sP2_iProver_def,sP1_iProver_def,t_b),sP0_iProver_def,sP4_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_478,c_116]) ).

cnf(c_600,plain,
    ifeq(c_lessequals(X0,sP5_iProver_def,t_b),sP0_iProver_def,c_lessequals(X0,sP1_iProver_def,t_b),sP0_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_411,c_50]) ).

cnf(c_601,plain,
    ifeq(sP0_iProver_def,sP0_iProver_def,c_lessequals(sP2_iProver_def,sP1_iProver_def,t_b),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_352,c_600]) ).

cnf(c_619,plain,
    c_lessequals(sP2_iProver_def,sP1_iProver_def,t_b) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_601,c_50]) ).

cnf(c_620,plain,
    ifeq(sP0_iProver_def,sP0_iProver_def,sP4_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_481,c_619]) ).

cnf(c_649,plain,
    sP0_iProver_def = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_620,c_50]) ).

cnf(c_650,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_649,c_256]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : ANA023-10 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n005.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 19:48:56 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  Running UEQ theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.84/1.15  % SZS status Started for theBenchmark.p
% 2.84/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 2.84/1.15  
% 2.84/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.84/1.15  
% 2.84/1.15  ------  iProver source info
% 2.84/1.15  
% 2.84/1.15  git: date: 2024-05-02 19:28:25 +0000
% 2.84/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.84/1.15  git: non_committed_changes: false
% 2.84/1.15  
% 2.84/1.15  ------ Parsing...successful
% 2.84/1.15  
% 2.84/1.15  
% 2.84/1.15  
% 2.84/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.84/1.15  
% 2.84/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.84/1.15  
% 2.84/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.84/1.15  ------ Proving...
% 2.84/1.15  ------ Problem Properties 
% 2.84/1.15  
% 2.84/1.15  
% 2.84/1.15  clauses                                 23
% 2.84/1.15  conjectures                             4
% 2.84/1.15  EPR                                     4
% 2.84/1.15  Horn                                    23
% 2.84/1.15  unary                                   23
% 2.84/1.15  binary                                  0
% 2.84/1.15  lits                                    23
% 2.84/1.15  lits eq                                 23
% 2.84/1.15  fd_pure                                 0
% 2.84/1.15  fd_pseudo                               0
% 2.84/1.15  fd_cond                                 0
% 2.84/1.15  fd_pseudo_cond                          0
% 2.84/1.15  AC symbols                              0
% 2.84/1.15  
% 2.84/1.15  ------ Input Options Time Limit: Unbounded
% 2.84/1.15  
% 2.84/1.15  
% 2.84/1.15  ------ 
% 2.84/1.15  Current options:
% 2.84/1.15  ------ 
% 2.84/1.15  
% 2.84/1.15  
% 2.84/1.15  
% 2.84/1.15  
% 2.84/1.15  ------ Proving...
% 2.84/1.15  
% 2.84/1.15  
% 2.84/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 2.84/1.15  
% 2.84/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.84/1.15  
% 2.84/1.15  
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