TSTP Solution File: SWC312-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC312-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 03:11:57 EDT 2024

% Result   : Unsatisfiable 0.45s 1.14s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   37 (  10 unt;   1 nHn;  37 RR)
%            Number of literals    :   84 (  43 equ;  58 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

cnf(c_53,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

cnf(c_54,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

cnf(c_55,negated_conjecture,
    ( sk4 != nil
    | sk3 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(cons(sk5,nil),sk6) = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(sk6,cons(sk5,nil)) = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( sk2 = nil
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ( app(cons(X0,nil),X1) != sk2
    | app(X1,cons(X0,nil)) != sk1
    | ~ ssList(X1)
    | ~ ssItem(X0)
    | sk2 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( sk1 != nil
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(c_63,negated_conjecture,
    ( app(cons(X0,nil),X1) != sk2
    | app(X1,cons(X0,nil)) != sk1
    | sk1 != nil
    | ~ ssList(X1)
    | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(c_178,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_254,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_178]) ).

cnf(c_1591,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk6) ),
    inference(light_normalisation,[status(thm)],[c_57,c_53]) ).

cnf(c_1596,plain,
    ( ~ neq(sk2,nil)
    | ssItem(sk5) ),
    inference(light_normalisation,[status(thm)],[c_56,c_53]) ).

cnf(c_1667,plain,
    ( sk2 != nil
    | sk1 = nil ),
    inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).

cnf(c_1792,plain,
    ( ~ neq(sk2,nil)
    | app(sk6,cons(sk5,nil)) = sk1 ),
    inference(light_normalisation,[status(thm)],[c_59,c_53,c_54]) ).

cnf(c_1797,plain,
    ( ~ neq(sk2,nil)
    | app(cons(sk5,nil),sk6) = sk2 ),
    inference(light_normalisation,[status(thm)],[c_58,c_53]) ).

cnf(c_3468,plain,
    ( sk1 != nil
    | app(cons(sk5,nil),sk6) = sk2 ),
    inference(resolution,[status(thm)],[c_62,c_1797]) ).

cnf(c_3469,plain,
    app(cons(sk5,nil),sk6) = sk2,
    inference(global_subsumption_just,[status(thm)],[c_3468,c_60,c_1667,c_1797,c_3468]) ).

cnf(c_3474,plain,
    ( sk1 != nil
    | app(sk6,cons(sk5,nil)) = sk1 ),
    inference(resolution,[status(thm)],[c_62,c_1792]) ).

cnf(c_3475,plain,
    app(sk6,cons(sk5,nil)) = sk1,
    inference(global_subsumption_just,[status(thm)],[c_3474,c_60,c_1667,c_1792,c_3474]) ).

cnf(c_3480,plain,
    ( sk1 != nil
    | ssItem(sk5) ),
    inference(resolution,[status(thm)],[c_62,c_1596]) ).

cnf(c_3481,plain,
    ssItem(sk5),
    inference(global_subsumption_just,[status(thm)],[c_3480,c_60,c_1596,c_1667,c_3480]) ).

cnf(c_3486,plain,
    ( sk1 != nil
    | ssList(sk6) ),
    inference(resolution,[status(thm)],[c_62,c_1591]) ).

cnf(c_3487,plain,
    ssList(sk6),
    inference(global_subsumption_just,[status(thm)],[c_3486,c_60,c_1591,c_1667,c_3486]) ).

cnf(c_3512,plain,
    ( X0 != sk2
    | X0 != nil
    | sk1 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_62,c_254]) ).

cnf(c_3513,plain,
    ( sk1 != nil
    | sk2 != nil
    | ~ ssList(sk2) ),
    inference(unflattening,[status(thm)],[c_3512]) ).

cnf(c_3514,plain,
    sk2 != nil,
    inference(global_subsumption_just,[status(thm)],[c_3513,c_50,c_1667,c_3513]) ).

cnf(c_3538,plain,
    ( app(cons(X0,nil),X1) != sk2
    | app(X1,cons(X0,nil)) != sk1
    | ~ ssList(X1)
    | ~ ssItem(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_61,c_3514]) ).

cnf(c_3540,plain,
    ( app(X1,cons(X0,nil)) != sk1
    | app(cons(X0,nil),X1) != sk2
    | ~ ssList(X1)
    | ~ ssItem(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_63,c_3538]) ).

cnf(c_3541,negated_conjecture,
    ( app(cons(X0,nil),X1) != sk2
    | app(X1,cons(X0,nil)) != sk1
    | ~ ssList(X1)
    | ~ ssItem(X0) ),
    inference(renaming,[status(thm)],[c_3540]) ).

cnf(c_9377,negated_conjecture,
    ( app(cons(X0,nil),X1) != sk2
    | app(X1,cons(X0,nil)) != sk1
    | ~ ssList(X1)
    | ~ ssItem(X0) ),
    inference(demodulation,[status(thm)],[c_3541]) ).

cnf(c_11902,plain,
    ( app(sk6,cons(sk5,nil)) != sk1
    | ~ ssList(sk6)
    | ~ ssItem(sk5) ),
    inference(superposition,[status(thm)],[c_3469,c_9377]) ).

cnf(c_11903,plain,
    app(sk6,cons(sk5,nil)) != sk1,
    inference(forward_subsumption_resolution,[status(thm)],[c_11902,c_3481,c_3487]) ).

cnf(c_11904,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_11903,c_3475]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWC312-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n020.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu May  2 23:22:31 EDT 2024
% 0.12/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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
% 0.45/1.14  % SZS status Started for theBenchmark.p
% 0.45/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.14  
% 0.45/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.45/1.14  
% 0.45/1.14  ------  iProver source info
% 0.45/1.14  
% 0.45/1.14  git: date: 2024-05-02 19:28:25 +0000
% 0.45/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.45/1.14  git: non_committed_changes: false
% 0.45/1.14  
% 0.45/1.14  ------ Parsing...successful
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  ------ Preprocessing... sup_sim: 9  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 0.45/1.14  
% 0.45/1.14  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.45/1.14  
% 0.45/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.45/1.14  ------ Proving...
% 0.45/1.14  ------ Problem Properties 
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  clauses                                 187
% 0.45/1.14  conjectures                             5
% 0.45/1.14  EPR                                     59
% 0.45/1.14  Horn                                    159
% 0.45/1.14  unary                                   67
% 0.45/1.14  binary                                  21
% 0.45/1.14  lits                                    554
% 0.45/1.14  lits eq                                 76
% 0.45/1.14  fd_pure                                 0
% 0.45/1.14  fd_pseudo                               0
% 0.45/1.14  fd_cond                                 15
% 0.45/1.14  fd_pseudo_cond                          14
% 0.45/1.14  AC symbols                              0
% 0.45/1.14  
% 0.45/1.14  ------ Schedule dynamic 5 is on 
% 0.45/1.14  
% 0.45/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  ------ 
% 0.45/1.14  Current options:
% 0.45/1.14  ------ 
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  ------ Proving...
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.14  
% 0.45/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.14  
% 0.45/1.14  
%------------------------------------------------------------------------------