TSTP Solution File: ALG406-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ALG406-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 03:58:40 EDT 2024

% Result   : Unsatisfiable 8.02s 1.68s
% Output   : CNFRefutation 8.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   29 (  13 unt;   2 nHn;  23 RR)
%            Number of literals    :   56 (   4 equ;  36 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   30 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_75,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_t_I1_J_0) ).

cnf(c_194,plain,
    ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
    | ~ c_lessequals(X1,X0,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).

cnf(c_551,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X0)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__ge__zero_0) ).

cnf(c_556,plain,
    c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_t_I2_J_0) ).

cnf(c_558,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
    | ~ class_Ring__and__Field_Oordered__idom(X0)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__left__le__one__le_0) ).

cnf(c_569,plain,
    ( c_lessequals(X0,X1,tc_RealDef_Oreal)
    | c_lessequals(X1,X0,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__linear_0) ).

cnf(c_600,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__1_0) ).

cnf(c_607,negated_conjecture,
    ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_676,plain,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).

cnf(c_692,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).

cnf(c_707,plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).

cnf(c_1289,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X0)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
    inference(prop_impl_just,[status(thm)],[c_551]) ).

cnf(c_6266,plain,
    ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(demodulation,[status(thm)],[c_607,c_600]) ).

cnf(c_10331,plain,
    ( X0 != tc_Complex_Ocomplex
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
    inference(resolution_lifted,[status(thm)],[c_1289,c_707]) ).

cnf(c_10332,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(unflattening,[status(thm)],[c_10331]) ).

cnf(c_10701,plain,
    ( X0 != tc_RealDef_Oreal
    | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
    | ~ c_lessequals(X2,X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_194,c_692]) ).

cnf(c_10702,plain,
    ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
    inference(unflattening,[status(thm)],[c_10701]) ).

cnf(c_11301,plain,
    ( X0 != tc_RealDef_Oreal
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_558,c_676]) ).

cnf(c_11302,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
    inference(unflattening,[status(thm)],[c_11301]) ).

cnf(c_25573,plain,
    ( ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
    inference(prop_impl_just,[status(thm)],[c_10702]) ).

cnf(c_25574,plain,
    ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
    inference(renaming,[status(thm)],[c_25573]) ).

cnf(c_37988,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)
    | ~ c_lessequals(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(superposition,[status(thm)],[c_11302,c_6266]) ).

cnf(c_37989,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)
    | ~ c_lessequals(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_37988,c_10332]) ).

cnf(c_38012,plain,
    ( ~ c_lessequals(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(v_t____,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(superposition,[status(thm)],[c_569,c_37989]) ).

cnf(c_38020,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)
    | c_lessequals(v_t____,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(superposition,[status(thm)],[c_569,c_38012]) ).

cnf(c_38748,plain,
    ~ c_lessequals(v_t____,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(superposition,[status(thm)],[c_75,c_25574]) ).

cnf(c_38754,plain,
    ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
    inference(superposition,[status(thm)],[c_556,c_25574]) ).

cnf(c_38777,plain,
    c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
    inference(backward_subsumption_resolution,[status(thm)],[c_38020,c_38748]) ).

cnf(c_38779,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_38777,c_38754]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : ALG406-1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jun 19 14:46:39 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.20/0.50  Running first-order theorem proving
% 0.20/0.50  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
% 8.02/1.68  % SZS status Started for theBenchmark.p
% 8.02/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 8.02/1.68  
% 8.02/1.68  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.02/1.68  
% 8.02/1.68  ------  iProver source info
% 8.02/1.68  
% 8.02/1.68  git: date: 2024-06-12 09:56:46 +0000
% 8.02/1.68  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 8.02/1.68  git: non_committed_changes: false
% 8.02/1.68  
% 8.02/1.68  ------ Parsing...successful
% 8.02/1.68  
% 8.02/1.68  
% 8.02/1.68  
% 8.02/1.68  ------ Preprocessing... sup_sim: 4  sf_s  rm: 5 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: 70  sf_s  rm: 57 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 59 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 59 0s  sf_e  pe_s  pe_e 
% 8.02/1.68  
% 8.02/1.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.02/1.68  
% 8.02/1.68  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.02/1.68  ------ Proving...
% 8.02/1.68  ------ Problem Properties 
% 8.02/1.68  
% 8.02/1.68  
% 8.02/1.68  clauses                                 530
% 8.02/1.68  conjectures                             0
% 8.02/1.68  EPR                                     20
% 8.02/1.68  Horn                                    468
% 8.02/1.68  unary                                   192
% 8.02/1.68  binary                                  174
% 8.02/1.68  lits                                    1070
% 8.02/1.68  lits eq                                 309
% 8.02/1.68  fd_pure                                 0
% 8.02/1.68  fd_pseudo                               0
% 8.02/1.68  fd_cond                                 50
% 8.02/1.68  fd_pseudo_cond                          35
% 8.02/1.68  AC symbols                              0
% 8.02/1.68  
% 8.02/1.68  ------ Schedule dynamic 5 is on 
% 8.02/1.68  
% 8.02/1.68  ------ no conjectures: strip conj schedule 
% 8.02/1.68  
% 8.02/1.68  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 8.02/1.68  
% 8.02/1.68  
% 8.02/1.68  ------ 
% 8.02/1.68  Current options:
% 8.02/1.68  ------ 
% 8.02/1.68  
% 8.02/1.68  
% 8.02/1.68  
% 8.02/1.68  
% 8.02/1.68  ------ Proving...
% 8.02/1.68  
% 8.02/1.68  
% 8.02/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 8.02/1.68  
% 8.02/1.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.02/1.68  
% 8.02/1.68  
%------------------------------------------------------------------------------