TSTP Solution File: SWC415-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC415-1 : 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 : Fri May  3 03:12:24 EDT 2024

% Result   : Unsatisfiable 3.74s 1.13s
% Output   : CNFRefutation 3.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   30 (  10 unt;   2 nHn;  30 RR)
%            Number of literals    :   83 (  27 equ;  62 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn)

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

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,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_58,negated_conjecture,
    ( tl(sk2) != X0
    | X0 != sk1
    | ~ neq(nil,sk2)
    | ~ ssList(X0)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( tl(sk4) != X0
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ ssList(X0)
    | X0 = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( tl(sk2) != X0
    | X0 != sk1
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk2)
    | ~ ssList(X0) ),
    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_137,plain,
    ( ~ ssList(X0)
    | X0 = nil
    | ssList(tl(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).

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_175,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_251,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_175]) ).

cnf(c_259,negated_conjecture,
    ( ~ ssList(tl(sk4))
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | tl(sk4) = sk3 ),
    inference(unflattening,[status(thm)],[c_59]) ).

cnf(c_260,negated_conjecture,
    ( tl(sk2) != sk1
    | ~ ssList(tl(sk2))
    | ~ neq(nil,sk2)
    | neq(sk2,nil) ),
    inference(unflattening,[status(thm)],[c_58]) ).

cnf(c_261,negated_conjecture,
    ( tl(sk2) != sk1
    | ~ ssList(tl(sk2))
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk2) ),
    inference(unflattening,[status(thm)],[c_60]) ).

cnf(c_398,negated_conjecture,
    neq(sk2,nil),
    inference(global_subsumption_just,[status(thm)],[c_260,c_55]) ).

cnf(c_1864,plain,
    ( ~ ssList(tl(sk2))
    | ~ neq(sk2,nil)
    | ~ neq(nil,sk2)
    | tl(sk2) = sk1 ),
    inference(light_normalisation,[status(thm)],[c_259,c_53,c_54]) ).

cnf(c_1865,plain,
    ( ~ ssList(tl(sk2))
    | ~ neq(nil,sk2)
    | tl(sk2) = sk1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1864,c_398]) ).

cnf(c_1918,plain,
    ( tl(sk2) != sk1
    | ~ ssList(tl(sk2))
    | ~ neq(sk2,nil)
    | ~ neq(nil,sk2) ),
    inference(light_normalisation,[status(thm)],[c_261,c_53]) ).

cnf(c_1919,plain,
    ( tl(sk2) != sk1
    | ~ ssList(tl(sk2))
    | ~ neq(nil,sk2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1918,c_398]) ).

cnf(c_1923,plain,
    ( ~ ssList(tl(sk2))
    | ~ neq(nil,sk2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1919,c_1865]) ).

cnf(c_2701,plain,
    ( X0 != sk2
    | X0 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_398,c_251]) ).

cnf(c_2702,plain,
    ( sk2 != nil
    | ~ ssList(sk2) ),
    inference(unflattening,[status(thm)],[c_2701]) ).

cnf(c_2703,plain,
    sk2 != nil,
    inference(global_subsumption_just,[status(thm)],[c_2702,c_50,c_2702]) ).

cnf(c_2723,plain,
    ( X0 != sk2
    | X1 != nil
    | ~ ssList(tl(sk2))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_1923,c_160]) ).

cnf(c_2724,plain,
    ( ~ ssList(tl(sk2))
    | ~ ssList(sk2)
    | ~ ssList(nil)
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_2723]) ).

cnf(c_2725,plain,
    ~ ssList(tl(sk2)),
    inference(global_subsumption_just,[status(thm)],[c_2724,c_50,c_68,c_2702,c_2724]) ).

cnf(c_6351,negated_conjecture,
    ssList(sk2),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_9191,plain,
    ( ~ ssList(sk2)
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_137,c_2725]) ).

cnf(c_9192,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9191,c_2703,c_6351]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWC415-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n011.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 23:27:18 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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
% 3.74/1.13  % SZS status Started for theBenchmark.p
% 3.74/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.74/1.13  
% 3.74/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.74/1.13  
% 3.74/1.13  ------  iProver source info
% 3.74/1.13  
% 3.74/1.13  git: date: 2024-05-02 19:28:25 +0000
% 3.74/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.74/1.13  git: non_committed_changes: false
% 3.74/1.13  
% 3.74/1.13  ------ Parsing...successful
% 3.74/1.13  
% 3.74/1.13  
% 3.74/1.13  
% 3.74/1.13  ------ Preprocessing... sup_sim: 6  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 
% 3.74/1.13  
% 3.74/1.13  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.74/1.13  
% 3.74/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.74/1.13  ------ Proving...
% 3.74/1.13  ------ Problem Properties 
% 3.74/1.13  
% 3.74/1.13  
% 3.74/1.13  clauses                                 183
% 3.74/1.13  conjectures                             4
% 3.74/1.13  EPR                                     57
% 3.74/1.13  Horn                                    155
% 3.74/1.13  unary                                   64
% 3.74/1.13  binary                                  21
% 3.74/1.13  lits                                    547
% 3.74/1.13  lits eq                                 72
% 3.74/1.13  fd_pure                                 0
% 3.74/1.13  fd_pseudo                               0
% 3.74/1.13  fd_cond                                 15
% 3.74/1.13  fd_pseudo_cond                          14
% 3.74/1.13  AC symbols                              0
% 3.74/1.13  
% 3.74/1.13  ------ Schedule dynamic 5 is on 
% 3.74/1.13  
% 3.74/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.74/1.13  
% 3.74/1.13  
% 3.74/1.13  ------ 
% 3.74/1.13  Current options:
% 3.74/1.13  ------ 
% 3.74/1.13  
% 3.74/1.13  
% 3.74/1.13  
% 3.74/1.13  
% 3.74/1.13  ------ Proving...
% 3.74/1.13  
% 3.74/1.13  
% 3.74/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.74/1.13  
% 3.74/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.74/1.13  
% 3.74/1.13  
%------------------------------------------------------------------------------