TSTP Solution File: SWC323-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC323-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 03:12:00 EDT 2024

% Result   : Unsatisfiable 3.89s 1.14s
% Output   : CNFRefutation 3.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   40 (   9 unt;  13 nHn;  40 RR)
%            Number of literals    :  109 (  54 equ;  64 neg)
%            Maximal clause size   :    6 (   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   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_52,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

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,
    ( app(X0,X1) != sk2
    | app(X1,X0) != sk1
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ( sk4 != nil
    | sk3 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

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

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

cnf(c_60,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(sk6,cons(sk5,nil)) = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_68,plain,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_134,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

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

cnf(c_160,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_205,plain,
    ( X0 != nil
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(X0,X1) = nil ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause145) ).

cnf(c_258,plain,
    ( ~ ssList(nil)
    | app(nil,nil) = nil ),
    inference(unflattening,[status(thm)],[c_205]) ).

cnf(c_325,plain,
    ( ~ ssList(nil)
    | app(nil,nil) = nil ),
    inference(instantiation,[status(thm)],[c_134]) ).

cnf(c_391,plain,
    app(nil,nil) = nil,
    inference(global_subsumption_just,[status(thm)],[c_258,c_68,c_325]) ).

cnf(c_2195,plain,
    ( app(X0,X1) != sk4
    | app(X1,X0) != sk3
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).

cnf(c_3435,plain,
    ( X0 != sk4
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(sk6,cons(sk5,nil)) = sk3
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_60,c_160]) ).

cnf(c_3436,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | app(sk6,cons(sk5,nil)) = sk3
    | sk4 = nil ),
    inference(unflattening,[status(thm)],[c_3435]) ).

cnf(c_3437,plain,
    ( app(sk6,cons(sk5,nil)) = sk3
    | sk4 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3436,c_52,c_68,c_3436]) ).

cnf(c_3459,plain,
    ( X0 != sk4
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(cons(sk5,nil),sk6) = sk4
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_59,c_160]) ).

cnf(c_3460,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | app(cons(sk5,nil),sk6) = sk4
    | sk4 = nil ),
    inference(unflattening,[status(thm)],[c_3459]) ).

cnf(c_3461,plain,
    ( app(cons(sk5,nil),sk6) = sk4
    | sk4 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3460,c_52,c_68,c_3460]) ).

cnf(c_3483,plain,
    ( X0 != sk4
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | ssList(sk6) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_160]) ).

cnf(c_3484,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | sk4 = nil
    | ssList(sk6) ),
    inference(unflattening,[status(thm)],[c_3483]) ).

cnf(c_3485,plain,
    ( sk4 = nil
    | ssList(sk6) ),
    inference(global_subsumption_just,[status(thm)],[c_3484,c_52,c_68,c_3484]) ).

cnf(c_3507,plain,
    ( X0 != sk4
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | ssItem(sk5) ),
    inference(resolution_lifted,[status(thm)],[c_57,c_160]) ).

cnf(c_3508,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | sk4 = nil
    | ssItem(sk5) ),
    inference(unflattening,[status(thm)],[c_3507]) ).

cnf(c_3509,plain,
    ( sk4 = nil
    | ssItem(sk5) ),
    inference(global_subsumption_just,[status(thm)],[c_3508,c_52,c_68,c_3508]) ).

cnf(c_9049,plain,
    ( app(sk6,cons(sk5,nil)) != sk3
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(sk6)
    | sk4 = nil ),
    inference(superposition,[status(thm)],[c_3461,c_2195]) ).

cnf(c_9051,plain,
    ( app(nil,nil) != sk3
    | sk4 != nil
    | ~ ssList(nil) ),
    inference(superposition,[status(thm)],[c_391,c_2195]) ).

cnf(c_9052,plain,
    ( sk3 != nil
    | sk4 != nil
    | ~ ssList(nil) ),
    inference(light_normalisation,[status(thm)],[c_9051,c_391]) ).

cnf(c_9053,plain,
    ( sk3 != nil
    | sk4 != nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9052,c_68]) ).

cnf(c_9065,plain,
    ( ~ ssList(cons(sk5,nil))
    | sk4 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_9049,c_56,c_3437,c_3485,c_9053,c_9049]) ).

cnf(c_9067,plain,
    ~ ssList(cons(sk5,nil)),
    inference(global_subsumption_just,[status(thm)],[c_9065,c_56,c_3437,c_3485,c_9053,c_9049]) ).

cnf(c_9071,plain,
    sk4 != nil,
    inference(global_subsumption_just,[status(thm)],[c_9053,c_56,c_9053]) ).

cnf(c_9073,plain,
    ssItem(sk5),
    inference(backward_subsumption_resolution,[status(thm)],[c_3509,c_9071]) ).

cnf(c_9507,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5) ),
    inference(superposition,[status(thm)],[c_146,c_9067]) ).

cnf(c_9508,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9507,c_9073,c_68]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWC323-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 23:36:58 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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
% 3.89/1.14  % SZS status Started for theBenchmark.p
% 3.89/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.89/1.14  
% 3.89/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.89/1.14  
% 3.89/1.14  ------  iProver source info
% 3.89/1.14  
% 3.89/1.14  git: date: 2024-05-02 19:28:25 +0000
% 3.89/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.89/1.14  git: non_committed_changes: false
% 3.89/1.14  
% 3.89/1.14  ------ Parsing...successful
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  ------ Preprocessing... sup_sim: 5  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 
% 3.89/1.14  
% 3.89/1.14  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.89/1.14  
% 3.89/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.89/1.14  ------ Proving...
% 3.89/1.14  ------ Problem Properties 
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  clauses                                 187
% 3.89/1.14  conjectures                             5
% 3.89/1.14  EPR                                     59
% 3.89/1.14  Horn                                    155
% 3.89/1.14  unary                                   62
% 3.89/1.14  binary                                  26
% 3.89/1.14  lits                                    559
% 3.89/1.14  lits eq                                 81
% 3.89/1.14  fd_pure                                 0
% 3.89/1.14  fd_pseudo                               0
% 3.89/1.14  fd_cond                                 15
% 3.89/1.14  fd_pseudo_cond                          14
% 3.89/1.14  AC symbols                              0
% 3.89/1.14  
% 3.89/1.14  ------ Schedule dynamic 5 is on 
% 3.89/1.14  
% 3.89/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  ------ 
% 3.89/1.14  Current options:
% 3.89/1.14  ------ 
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  ------ Proving...
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.89/1.14  
% 3.89/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.89/1.14  
% 3.89/1.14  
%------------------------------------------------------------------------------