TSTP Solution File: SWC220-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC220-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 20:41:47 EDT 2023

% Result   : Unsatisfiable 4.21s 1.15s
% Output   : CNFRefutation 4.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   35 (  12 unt;  10 nHn;  35 RR)
%            Number of literals    :   97 (  20 equ;  56 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :   18 (   0 sgn)

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

cnf(c_55,negated_conjecture,
    sk1 != nil,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sk1
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ssItem(sk5(X2,X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sk1
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | memberP(X0,sk5(X2,X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sk1
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | memberP(X2,sk5(X2,X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sk1
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | leq(X1,sk5(X2,X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sk1
    | ~ leq(sk5(X2,X0,X1),X1)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ( sk3 = nil
    | ssItem(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( sk3 = nil
    | ssList(sk7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(c_63,negated_conjecture,
    ( sk3 = nil
    | ssList(sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(c_64,negated_conjecture,
    ( app(app(sk7,cons(sk6,nil)),sk8) = sk3
    | sk3 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

cnf(c_65,negated_conjecture,
    ( ~ memberP(sk7,X0)
    | ~ memberP(sk8,X0)
    | ~ leq(sk6,X0)
    | ~ ssItem(X0)
    | sk3 = nil
    | leq(X0,sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

cnf(c_1628,plain,
    ( sk1 = nil
    | ssList(sk8) ),
    inference(light_normalisation,[status(thm)],[c_63,c_54]) ).

cnf(c_1629,plain,
    ssList(sk8),
    inference(forward_subsumption_resolution,[status(thm)],[c_1628,c_55]) ).

cnf(c_1630,plain,
    ( sk1 = nil
    | ssList(sk7) ),
    inference(light_normalisation,[status(thm)],[c_62,c_54]) ).

cnf(c_1631,plain,
    ssList(sk7),
    inference(forward_subsumption_resolution,[status(thm)],[c_1630,c_55]) ).

cnf(c_1632,plain,
    ( sk1 = nil
    | ssItem(sk6) ),
    inference(light_normalisation,[status(thm)],[c_61,c_54]) ).

cnf(c_1633,plain,
    ssItem(sk6),
    inference(forward_subsumption_resolution,[status(thm)],[c_1632,c_55]) ).

cnf(c_1914,plain,
    ( app(app(sk7,cons(sk6,nil)),sk8) = sk1
    | sk1 = nil ),
    inference(light_normalisation,[status(thm)],[c_64,c_54]) ).

cnf(c_1915,plain,
    app(app(sk7,cons(sk6,nil)),sk8) = sk1,
    inference(forward_subsumption_resolution,[status(thm)],[c_1914,c_55]) ).

cnf(c_2380,plain,
    ( ~ memberP(sk7,X0)
    | ~ memberP(sk8,X0)
    | ~ leq(sk6,X0)
    | ~ ssItem(X0)
    | sk1 = nil
    | leq(X0,sk6) ),
    inference(light_normalisation,[status(thm)],[c_65,c_54]) ).

cnf(c_2381,plain,
    ( ~ memberP(sk7,X0)
    | ~ memberP(sk8,X0)
    | ~ leq(sk6,X0)
    | ~ ssItem(X0)
    | leq(X0,sk6) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2380,c_55]) ).

cnf(c_9222,plain,
    ( ~ leq(sk5(sk8,sk7,sk6),sk6)
    | ~ ssList(sk7)
    | ~ ssList(sk8)
    | ~ ssItem(sk6) ),
    inference(superposition,[status(thm)],[c_1915,c_60]) ).

cnf(c_9223,plain,
    ( ~ ssList(sk7)
    | ~ ssList(sk8)
    | ~ ssItem(sk6)
    | leq(sk6,sk5(sk8,sk7,sk6)) ),
    inference(superposition,[status(thm)],[c_1915,c_59]) ).

cnf(c_9224,plain,
    ( ~ ssList(sk7)
    | ~ ssList(sk8)
    | ~ ssItem(sk6)
    | memberP(sk8,sk5(sk8,sk7,sk6)) ),
    inference(superposition,[status(thm)],[c_1915,c_58]) ).

cnf(c_9225,plain,
    ( ~ ssList(sk7)
    | ~ ssList(sk8)
    | ~ ssItem(sk6)
    | memberP(sk7,sk5(sk8,sk7,sk6)) ),
    inference(superposition,[status(thm)],[c_1915,c_57]) ).

cnf(c_9226,plain,
    ( ~ ssList(sk7)
    | ~ ssList(sk8)
    | ~ ssItem(sk6)
    | ssItem(sk5(sk8,sk7,sk6)) ),
    inference(superposition,[status(thm)],[c_1915,c_56]) ).

cnf(c_9227,plain,
    ssItem(sk5(sk8,sk7,sk6)),
    inference(forward_subsumption_resolution,[status(thm)],[c_9226,c_1633,c_1629,c_1631]) ).

cnf(c_9228,plain,
    memberP(sk7,sk5(sk8,sk7,sk6)),
    inference(forward_subsumption_resolution,[status(thm)],[c_9225,c_1633,c_1629,c_1631]) ).

cnf(c_9229,plain,
    memberP(sk8,sk5(sk8,sk7,sk6)),
    inference(forward_subsumption_resolution,[status(thm)],[c_9224,c_1633,c_1629,c_1631]) ).

cnf(c_9230,plain,
    leq(sk6,sk5(sk8,sk7,sk6)),
    inference(forward_subsumption_resolution,[status(thm)],[c_9223,c_1633,c_1629,c_1631]) ).

cnf(c_9231,plain,
    ~ leq(sk5(sk8,sk7,sk6),sk6),
    inference(forward_subsumption_resolution,[status(thm)],[c_9222,c_1633,c_1629,c_1631]) ).

cnf(c_9252,plain,
    ( ~ memberP(sk8,sk5(sk8,sk7,sk6))
    | ~ leq(sk6,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk5(sk8,sk7,sk6))
    | leq(sk5(sk8,sk7,sk6),sk6) ),
    inference(superposition,[status(thm)],[c_9228,c_2381]) ).

cnf(c_9253,plain,
    ( ~ memberP(sk8,sk5(sk8,sk7,sk6))
    | ~ leq(sk6,sk5(sk8,sk7,sk6))
    | leq(sk5(sk8,sk7,sk6),sk6) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9252,c_9227]) ).

cnf(c_9257,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9253,c_9231,c_9229,c_9230]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWC220-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 18:29:26 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.21/1.15  % SZS status Started for theBenchmark.p
% 4.21/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 4.21/1.15  
% 4.21/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.21/1.15  
% 4.21/1.15  ------  iProver source info
% 4.21/1.15  
% 4.21/1.15  git: date: 2023-05-31 18:12:56 +0000
% 4.21/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.21/1.15  git: non_committed_changes: false
% 4.21/1.15  git: last_make_outside_of_git: false
% 4.21/1.15  
% 4.21/1.15  ------ Parsing...successful
% 4.21/1.15  
% 4.21/1.15  
% 4.21/1.15  
% 4.21/1.15  ------ 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 
% 4.21/1.15  
% 4.21/1.15  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.21/1.15  
% 4.21/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.21/1.15  ------ Proving...
% 4.21/1.15  ------ Problem Properties 
% 4.21/1.15  
% 4.21/1.15  
% 4.21/1.15  clauses                                 192
% 4.21/1.15  conjectures                             10
% 4.21/1.15  EPR                                     61
% 4.21/1.15  Horn                                    164
% 4.21/1.15  unary                                   67
% 4.21/1.15  binary                                  21
% 4.21/1.15  lits                                    580
% 4.21/1.15  lits eq                                 78
% 4.21/1.15  fd_pure                                 0
% 4.21/1.15  fd_pseudo                               0
% 4.21/1.15  fd_cond                                 15
% 4.21/1.15  fd_pseudo_cond                          14
% 4.21/1.15  AC symbols                              0
% 4.21/1.15  
% 4.21/1.15  ------ Schedule dynamic 5 is on 
% 4.21/1.15  
% 4.21/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.21/1.15  
% 4.21/1.15  
% 4.21/1.15  ------ 
% 4.21/1.15  Current options:
% 4.21/1.15  ------ 
% 4.21/1.15  
% 4.21/1.15  
% 4.21/1.15  
% 4.21/1.15  
% 4.21/1.15  ------ Proving...
% 4.21/1.15  
% 4.21/1.15  
% 4.21/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 4.21/1.15  
% 4.21/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.21/1.15  
% 4.21/1.15  
%------------------------------------------------------------------------------