TSTP Solution File: SWC007-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC007-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 03:10:50 EDT 2024

% Result   : Unsatisfiable 4.15s 1.25s
% Output   : CNFRefutation 4.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   17 (   9 unt;   0 nHn;  17 RR)
%            Number of literals    :   36 (  18 equ;  24 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

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,
    ( app(app(X0,X1),X2) != sk2
    | app(X0,X2) != sk1
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(c_64,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_129,plain,
    ( ~ ssList(X0)
    | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).

cnf(c_130,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(c_321,plain,
    ( ~ ssList(nil)
    | app(nil,nil) = nil ),
    inference(instantiation,[status(thm)],[c_130]) ).

cnf(c_1517,plain,
    sk1 = nil,
    inference(light_normalisation,[status(thm)],[c_53,c_55]) ).

cnf(c_2374,plain,
    ( app(app(X0,X1),X2) != sk2
    | app(X0,X2) != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(light_normalisation,[status(thm)],[c_56,c_1517]) ).

cnf(c_6308,negated_conjecture,
    ssList(sk2),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_8878,plain,
    app(sk2,nil) = sk2,
    inference(superposition,[status(thm)],[c_6308,c_129]) ).

cnf(c_9128,plain,
    app(nil,sk2) = sk2,
    inference(superposition,[status(thm)],[c_6308,c_130]) ).

cnf(c_9250,plain,
    ( app(sk2,X0) != sk2
    | app(nil,X0) != nil
    | ~ ssList(X0)
    | ~ ssList(sk2)
    | ~ ssList(nil) ),
    inference(superposition,[status(thm)],[c_9128,c_2374]) ).

cnf(c_9254,plain,
    ( app(sk2,X0) != sk2
    | app(nil,X0) != nil
    | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9250,c_64,c_6308]) ).

cnf(c_9258,plain,
    ( app(sk2,nil) != sk2
    | app(nil,nil) != nil
    | ~ ssList(nil) ),
    inference(instantiation,[status(thm)],[c_9254]) ).

cnf(c_9259,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9258,c_8878,c_321,c_64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC007-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n018.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 23:41:46 EDT 2024
% 0.14/0.34  % 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
% 4.15/1.25  % SZS status Started for theBenchmark.p
% 4.15/1.25  % SZS status Unsatisfiable for theBenchmark.p
% 4.15/1.25  
% 4.15/1.25  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.15/1.25  
% 4.15/1.25  ------  iProver source info
% 4.15/1.25  
% 4.15/1.25  git: date: 2024-05-02 19:28:25 +0000
% 4.15/1.25  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.15/1.25  git: non_committed_changes: false
% 4.15/1.25  
% 4.15/1.25  ------ Parsing...successful
% 4.15/1.25  
% 4.15/1.25  
% 4.15/1.25  
% 4.15/1.25  ------ Preprocessing... sup_sim: 9  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 
% 4.15/1.25  
% 4.15/1.25  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.15/1.25  
% 4.15/1.25  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.15/1.25  ------ Proving...
% 4.15/1.25  ------ Problem Properties 
% 4.15/1.25  
% 4.15/1.25  
% 4.15/1.25  clauses                                 182
% 4.15/1.25  conjectures                             3
% 4.15/1.25  EPR                                     56
% 4.15/1.25  Horn                                    154
% 4.15/1.25  unary                                   62
% 4.15/1.25  binary                                  21
% 4.15/1.25  lits                                    550
% 4.15/1.25  lits eq                                 74
% 4.15/1.25  fd_pure                                 0
% 4.15/1.25  fd_pseudo                               0
% 4.15/1.25  fd_cond                                 15
% 4.15/1.25  fd_pseudo_cond                          14
% 4.15/1.25  AC symbols                              0
% 4.15/1.25  
% 4.15/1.25  ------ Schedule dynamic 5 is on 
% 4.15/1.25  
% 4.15/1.25  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.15/1.25  
% 4.15/1.25  
% 4.15/1.25  ------ 
% 4.15/1.25  Current options:
% 4.15/1.25  ------ 
% 4.15/1.25  
% 4.15/1.25  
% 4.15/1.25  
% 4.15/1.25  
% 4.15/1.25  ------ Proving...
% 4.15/1.25  
% 4.15/1.25  
% 4.15/1.25  % SZS status Unsatisfiable for theBenchmark.p
% 4.15/1.25  
% 4.15/1.25  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.15/1.25  
% 4.15/1.25  
%------------------------------------------------------------------------------