TSTP Solution File: SWC182-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC182-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 : Thu Aug 31 20:41:31 EDT 2023

% Result   : Unsatisfiable 4.18s 1.12s
% Output   : CNFRefutation 4.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   30 (  12 unt;   0 nHn;  30 RR)
%            Number of literals    :   81 (  10 equ;  61 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    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

cnf(c_53,negated_conjecture,
    sk3 = nil,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(c_55,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    app(app(sk6,cons(sk5,nil)),sk7) = sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(c_131,plain,
    ( ~ memberP(nil,X0)
    | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).

cnf(c_145,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ssList(app(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).

cnf(c_146,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | ssList(cons(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).

cnf(c_200,plain,
    ( ~ memberP(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | memberP(app(X0,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).

cnf(c_201,plain,
    ( ~ memberP(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | memberP(app(X2,X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause141) ).

cnf(c_211,plain,
    ( app(X0,X1) != app(X2,X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause151) ).

cnf(c_235,plain,
    ( app(X0,cons(X1,X2)) != X3
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1)
    | memberP(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause175) ).

cnf(c_259,plain,
    ( ~ ssList(app(X0,cons(X1,X2)))
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | memberP(app(X0,cons(X1,X2)),X1) ),
    inference(unflattening,[status(thm)],[c_235]) ).

cnf(c_1522,plain,
    sk1 = nil,
    inference(light_normalisation,[status(thm)],[c_53,c_55]) ).

cnf(c_1587,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0) ),
    inference(light_normalisation,[status(thm)],[c_131,c_1522]) ).

cnf(c_1679,plain,
    app(app(sk6,cons(sk5,sk1)),sk7) = sk1,
    inference(light_normalisation,[status(thm)],[c_59,c_1522]) ).

cnf(c_9250,plain,
    ( ~ ssList(app(sk6,cons(sk5,sk1)))
    | ~ memberP(sk7,X0)
    | ~ ssItem(X0)
    | ~ ssList(sk7)
    | memberP(sk1,X0) ),
    inference(superposition,[status(thm)],[c_1679,c_201]) ).

cnf(c_9263,plain,
    ( ~ memberP(app(sk6,cons(sk5,sk1)),X0)
    | ~ ssList(app(sk6,cons(sk5,sk1)))
    | ~ ssItem(X0)
    | ~ ssList(sk7)
    | memberP(sk1,X0) ),
    inference(superposition,[status(thm)],[c_1679,c_200]) ).

cnf(c_9358,plain,
    ( app(X0,sk7) != sk1
    | ~ ssList(app(sk6,cons(sk5,sk1)))
    | ~ ssList(X0)
    | ~ ssList(sk7)
    | app(sk6,cons(sk5,sk1)) = X0 ),
    inference(superposition,[status(thm)],[c_1679,c_211]) ).

cnf(c_9801,plain,
    ( ~ ssList(app(sk6,cons(sk5,sk1)))
    | ~ memberP(sk7,X0)
    | ~ ssItem(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_9250,c_58,c_1587,c_9250]) ).

cnf(c_9810,plain,
    ( ~ ssList(cons(sk5,sk1))
    | ~ memberP(sk7,X0)
    | ~ ssItem(X0)
    | ~ ssList(sk6) ),
    inference(superposition,[status(thm)],[c_145,c_9801]) ).

cnf(c_9812,plain,
    ( ~ memberP(app(sk6,cons(sk5,sk1)),X0)
    | ~ ssList(app(sk6,cons(sk5,sk1)))
    | ~ ssItem(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_9263,c_58,c_1587,c_9263]) ).

cnf(c_9823,plain,
    ( ~ ssList(app(sk6,cons(sk5,sk1)))
    | ~ ssList(sk1)
    | ~ ssList(sk6)
    | ~ ssItem(sk5) ),
    inference(superposition,[status(thm)],[c_259,c_9812]) ).

cnf(c_10260,plain,
    ~ ssList(app(sk6,cons(sk5,sk1))),
    inference(global_subsumption_just,[status(thm)],[c_9358,c_57,c_56,c_49,c_9823]) ).

cnf(c_10262,plain,
    ( ~ ssList(cons(sk5,sk1))
    | ~ ssList(sk6) ),
    inference(superposition,[status(thm)],[c_145,c_10260]) ).

cnf(c_11211,plain,
    ~ ssList(cons(sk5,sk1)),
    inference(global_subsumption_just,[status(thm)],[c_9810,c_57,c_10262]) ).

cnf(c_11213,plain,
    ( ~ ssList(sk1)
    | ~ ssItem(sk5) ),
    inference(superposition,[status(thm)],[c_146,c_11211]) ).

cnf(c_11214,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_11213,c_49,c_56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWC182-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n023.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 : Mon Aug 28 16:21:10 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.18/1.12  % SZS status Started for theBenchmark.p
% 4.18/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 4.18/1.12  
% 4.18/1.12  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.18/1.12  
% 4.18/1.12  ------  iProver source info
% 4.18/1.12  
% 4.18/1.12  git: date: 2023-05-31 18:12:56 +0000
% 4.18/1.12  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.18/1.12  git: non_committed_changes: false
% 4.18/1.12  git: last_make_outside_of_git: false
% 4.18/1.12  
% 4.18/1.12  ------ Parsing...successful
% 4.18/1.12  
% 4.18/1.12  
% 4.18/1.12  
% 4.18/1.12  ------ Preprocessing... sup_sim: 55  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.18/1.12  
% 4.18/1.12  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.18/1.12  
% 4.18/1.12  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.18/1.12  ------ Proving...
% 4.18/1.12  ------ Problem Properties 
% 4.18/1.12  
% 4.18/1.12  
% 4.18/1.12  clauses                                 186
% 4.18/1.12  conjectures                             8
% 4.18/1.12  EPR                                     60
% 4.18/1.12  Horn                                    157
% 4.18/1.12  unary                                   66
% 4.18/1.12  binary                                  22
% 4.18/1.12  lits                                    551
% 4.18/1.12  lits eq                                 73
% 4.18/1.12  fd_pure                                 0
% 4.18/1.12  fd_pseudo                               0
% 4.18/1.12  fd_cond                                 15
% 4.18/1.12  fd_pseudo_cond                          14
% 4.18/1.12  AC symbols                              0
% 4.18/1.12  
% 4.18/1.12  ------ Input Options Time Limit: Unbounded
% 4.18/1.12  
% 4.18/1.12  
% 4.18/1.12  ------ 
% 4.18/1.12  Current options:
% 4.18/1.12  ------ 
% 4.18/1.12  
% 4.18/1.12  
% 4.18/1.12  
% 4.18/1.12  
% 4.18/1.12  ------ Proving...
% 4.18/1.12  
% 4.18/1.12  
% 4.18/1.12  ------ Proving...
% 4.18/1.12  
% 4.18/1.12  
% 4.18/1.12  ------ Proving...
% 4.18/1.12  
% 4.18/1.12  
% 4.18/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 4.18/1.12  
% 4.18/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.18/1.12  
% 4.18/1.12  
%------------------------------------------------------------------------------