TSTP Solution File: ANA044-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ANA044-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 02:05:39 EDT 2024

% Result   : Unsatisfiable 47.86s 7.28s
% Output   : CNFRefutation 47.86s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ c_lessequals(c_0,X0,X1)
    | ~ c_lessequals(c_0,X2,X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | c_lessequals(c_0,c_times(X2,X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).

cnf(c_52,negated_conjecture,
    c_lessequals(c_0,v_l(X0,X1),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_53,negated_conjecture,
    c_lessequals(c_0,v_h(X0),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_55,negated_conjecture,
    c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b) != c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_56,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(c_887,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_40) ).

cnf(c_898,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).

cnf(c_2239,plain,
    ( ~ c_lessequals(c_0,X0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | c_HOL_Oabs(X0,X1) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__of__nonneg_0) ).

cnf(c_4533,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
    | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(prop_impl_just,[status(thm)],[c_887]) ).

cnf(c_4534,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
    inference(renaming,[status(thm)],[c_4533]) ).

cnf(c_6193,plain,
    ( class_OrderedGroup_Olordered__ab__group__abs(X0)
    | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(prop_impl_just,[status(thm)],[c_898]) ).

cnf(c_6194,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    inference(renaming,[status(thm)],[c_6193]) ).

cnf(c_56946,plain,
    ( X0 != t_b
    | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_6194]) ).

cnf(c_56947,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference(unflattening,[status(thm)],[c_56946]) ).

cnf(c_56966,plain,
    ( X0 != t_b
    | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_4534]) ).

cnf(c_56967,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(t_b),
    inference(unflattening,[status(thm)],[c_56966]) ).

cnf(c_60337,plain,
    ( X0 != t_b
    | ~ c_lessequals(c_0,X1,X0)
    | ~ c_lessequals(c_0,X2,X0)
    | c_lessequals(c_0,c_times(X2,X1,X0),X0) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_56967]) ).

cnf(c_60338,plain,
    ( ~ c_lessequals(c_0,X0,t_b)
    | ~ c_lessequals(c_0,X1,t_b)
    | c_lessequals(c_0,c_times(X1,X0,t_b),t_b) ),
    inference(unflattening,[status(thm)],[c_60337]) ).

cnf(c_139133,plain,
    v_l(v_x,v_xa) = sP0_iProver_def,
    definition ).

cnf(c_139134,plain,
    v_k(v_x,v_xa) = sP1_iProver_def,
    definition ).

cnf(c_139135,plain,
    v_h(sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_139136,plain,
    c_times(sP0_iProver_def,sP2_iProver_def,t_b) = sP3_iProver_def,
    definition ).

cnf(c_139137,plain,
    c_HOL_Oabs(sP3_iProver_def,t_b) = sP4_iProver_def,
    definition ).

cnf(c_139139,negated_conjecture,
    sP4_iProver_def != sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_55,c_139134,c_139135,c_139133,c_139136,c_139137]) ).

cnf(c_139141,negated_conjecture,
    c_lessequals(c_0,v_h(X0),t_b),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_139142,negated_conjecture,
    c_lessequals(c_0,v_l(X0,X1),t_b),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_165546,plain,
    c_lessequals(c_0,sP0_iProver_def,t_b),
    inference(superposition,[status(thm)],[c_139133,c_139142]) ).

cnf(c_165747,plain,
    c_lessequals(c_0,sP2_iProver_def,t_b),
    inference(superposition,[status(thm)],[c_139135,c_139141]) ).

cnf(c_165850,plain,
    ( ~ c_lessequals(c_0,sP0_iProver_def,t_b)
    | ~ c_lessequals(c_0,sP2_iProver_def,t_b)
    | c_lessequals(c_0,sP3_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_139136,c_60338]) ).

cnf(c_165857,plain,
    c_lessequals(c_0,sP3_iProver_def,t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_165850,c_165747,c_165546]) ).

cnf(c_194925,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | c_HOL_Oabs(sP3_iProver_def,t_b) = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_165857,c_2239]) ).

cnf(c_194947,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | sP3_iProver_def = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_194925,c_139137]) ).

cnf(c_194948,plain,
    sP3_iProver_def = sP4_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_194947,c_56947]) ).

cnf(c_195026,plain,
    sP3_iProver_def != sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_139139,c_194948]) ).

cnf(c_195027,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_195026]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ANA044-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n006.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 : Thu May  2 19:45:34 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 47.86/7.28  % SZS status Started for theBenchmark.p
% 47.86/7.28  % SZS status Unsatisfiable for theBenchmark.p
% 47.86/7.28  
% 47.86/7.28  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 47.86/7.28  
% 47.86/7.28  ------  iProver source info
% 47.86/7.28  
% 47.86/7.28  git: date: 2024-05-02 19:28:25 +0000
% 47.86/7.28  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 47.86/7.28  git: non_committed_changes: false
% 47.86/7.28  
% 47.86/7.28  ------ Parsing...successful
% 47.86/7.28  
% 47.86/7.28  
% 47.86/7.28  
% 47.86/7.28  ------ Preprocessing... sup_sim: 108  sf_s  rm: 375 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e  sup_sim: 60  sf_s  rm: 47 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 47 0s  sf_e  pe_s  pe_e 
% 47.86/7.28  
% 47.86/7.28  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 47.86/7.28  
% 47.86/7.28  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 47.86/7.28  ------ Proving...
% 47.86/7.28  ------ Problem Properties 
% 47.86/7.28  
% 47.86/7.28  
% 47.86/7.28  clauses                                 1755
% 47.86/7.28  conjectures                             4
% 47.86/7.28  EPR                                     236
% 47.86/7.28  Horn                                    1556
% 47.86/7.28  unary                                   629
% 47.86/7.28  binary                                  752
% 47.86/7.28  lits                                    3355
% 47.86/7.28  lits eq                                 1140
% 47.86/7.28  fd_pure                                 0
% 47.86/7.28  fd_pseudo                               0
% 47.86/7.28  fd_cond                                 108
% 47.86/7.28  fd_pseudo_cond                          66
% 47.86/7.28  AC symbols                              0
% 47.86/7.28  
% 47.86/7.28  ------ Schedule dynamic 5 is on 
% 47.86/7.28  
% 47.86/7.28  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 47.86/7.28  
% 47.86/7.28  
% 47.86/7.28  ------ 
% 47.86/7.28  Current options:
% 47.86/7.28  ------ 
% 47.86/7.28  
% 47.86/7.28  
% 47.86/7.28  
% 47.86/7.28  
% 47.86/7.28  ------ Proving...
% 47.86/7.28  
% 47.86/7.28  
% 47.86/7.28  % SZS status Unsatisfiable for theBenchmark.p
% 47.86/7.28  
% 47.86/7.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 47.86/7.28  
% 47.86/7.28  
%------------------------------------------------------------------------------