TSTP Solution File: SWC010-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC010-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 16:21:52 EDT 2024

% Result   : Unsatisfiable 3.42s 1.16s
% Output   : CNFRefutation 3.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   25 (  10 unt;   0 nHn;  25 RR)
%            Number of literals    :   57 (  17 equ;  36 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_53,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(c_54,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(c_55,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(c_57,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sk2
    | app(X0,X2) != sk1
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(c_64,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sk2
    | app(X0,X2) != sk1
    | ~ neq(sk4,nil)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

cnf(c_65,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

cnf(c_66,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

cnf(c_67,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).

cnf(c_68,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(app(sk6,cons(sk5,nil)),sk7) = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).

cnf(c_69,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(sk6,sk7) = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_21) ).

cnf(c_418,negated_conjecture,
    neq(sk2,nil),
    inference(global_subsumption_just,[status(thm)],[c_57,c_55]) ).

cnf(c_1610,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk7) ),
    inference(light_normalisation,[status(thm)],[c_67,c_53]) ).

cnf(c_1611,plain,
    ssList(sk7),
    inference(forward_subsumption_resolution,[status(thm)],[c_1610,c_418]) ).

cnf(c_1612,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk6) ),
    inference(light_normalisation,[status(thm)],[c_66,c_53]) ).

cnf(c_1613,plain,
    ssList(sk6),
    inference(forward_subsumption_resolution,[status(thm)],[c_1612,c_418]) ).

cnf(c_1614,plain,
    ( ~ neq(sk2,nil)
    | ssItem(sk5) ),
    inference(light_normalisation,[status(thm)],[c_65,c_53]) ).

cnf(c_1615,plain,
    ssItem(sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_1614,c_418]) ).

cnf(c_1710,plain,
    ( ~ neq(sk2,nil)
    | app(sk6,sk7) = sk1 ),
    inference(light_normalisation,[status(thm)],[c_69,c_53,c_54]) ).

cnf(c_1711,plain,
    app(sk6,sk7) = sk1,
    inference(forward_subsumption_resolution,[status(thm)],[c_1710,c_418]) ).

cnf(c_1898,plain,
    ( ~ neq(sk2,nil)
    | app(app(sk6,cons(sk5,nil)),sk7) = sk2 ),
    inference(light_normalisation,[status(thm)],[c_68,c_53]) ).

cnf(c_1899,plain,
    app(app(sk6,cons(sk5,nil)),sk7) = sk2,
    inference(forward_subsumption_resolution,[status(thm)],[c_1898,c_418]) ).

cnf(c_2458,plain,
    ( app(app(X0,cons(X1,nil)),X2) != sk2
    | app(X0,X2) != sk1
    | ~ neq(sk2,nil)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(light_normalisation,[status(thm)],[c_64,c_53]) ).

cnf(c_2459,plain,
    ( app(app(X0,cons(X1,nil)),X2) != sk2
    | app(X0,X2) != sk1
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2458,c_418]) ).

cnf(c_9009,plain,
    ( app(sk6,sk7) != sk1
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ ssItem(sk5) ),
    inference(superposition,[status(thm)],[c_1899,c_2459]) ).

cnf(c_9010,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9009,c_1615,c_1611,c_1613,c_1711]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC010-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n024.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 : Thu Jun 20 03:34:54 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.42/1.16  % SZS status Started for theBenchmark.p
% 3.42/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.42/1.16  
% 3.42/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.42/1.16  
% 3.42/1.16  ------  iProver source info
% 3.42/1.16  
% 3.42/1.16  git: date: 2024-06-12 09:56:46 +0000
% 3.42/1.16  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.42/1.16  git: non_committed_changes: false
% 3.42/1.16  
% 3.42/1.16  ------ Parsing...successful
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  ------ Preprocessing... sup_sim: 11  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 
% 3.42/1.16  
% 3.42/1.16  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.42/1.16  
% 3.42/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.42/1.16  ------ Proving...
% 3.42/1.16  ------ Problem Properties 
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  clauses                                 189
% 3.42/1.16  conjectures                             4
% 3.42/1.16  EPR                                     61
% 3.42/1.16  Horn                                    161
% 3.42/1.16  unary                                   68
% 3.42/1.16  binary                                  21
% 3.42/1.16  lits                                    560
% 3.42/1.16  lits eq                                 77
% 3.42/1.16  fd_pure                                 0
% 3.42/1.16  fd_pseudo                               0
% 3.42/1.16  fd_cond                                 16
% 3.42/1.16  fd_pseudo_cond                          14
% 3.42/1.16  AC symbols                              0
% 3.42/1.16  
% 3.42/1.16  ------ Schedule dynamic 5 is on 
% 3.42/1.16  
% 3.42/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  ------ 
% 3.42/1.16  Current options:
% 3.42/1.16  ------ 
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  ------ Proving...
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.42/1.16  
% 3.42/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.42/1.16  
% 3.42/1.16  
%------------------------------------------------------------------------------