TSTP Solution File: SWC013-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC013-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 : Mon Jun 24 16:21:53 EDT 2024

% Result   : Unsatisfiable 3.83s 1.18s
% Output   : CNFRefutation 3.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   34 (  10 unt;   2 nHn;  34 RR)
%            Number of literals    :  108 (  30 equ;  86 neg)
%            Maximal clause size   :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

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

cnf(c_53,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(c_54,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(c_55,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(c_58,negated_conjecture,
    ( cons(X0,nil) != X1
    | hd(sk2) != X0
    | X1 != sk1
    | ~ neq(nil,sk2)
    | ~ ssList(X1)
    | ~ ssItem(X0)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( cons(X0,nil) != X1
    | hd(sk4) != X0
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ ssList(X1)
    | ~ ssItem(X0)
    | X1 = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( cons(X0,nil) != X1
    | hd(sk2) != X0
    | X1 != sk1
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk2)
    | ~ ssList(X1)
    | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(c_68,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_138,plain,
    ( ~ ssList(X0)
    | X0 = nil
    | ssItem(hd(X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause78) ).

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

cnf(c_160,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_175,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

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

cnf(c_263,negated_conjecture,
    ( ~ ssList(cons(hd(sk4),nil))
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | cons(hd(sk4),nil) = sk3 ),
    inference(unflattening,[status(thm)],[c_59]) ).

cnf(c_264,negated_conjecture,
    ( cons(hd(sk2),nil) != sk1
    | ~ ssList(cons(hd(sk2),nil))
    | ~ neq(nil,sk2)
    | ~ ssItem(hd(sk2))
    | neq(sk2,nil) ),
    inference(unflattening,[status(thm)],[c_58]) ).

cnf(c_266,negated_conjecture,
    ( cons(hd(sk2),nil) != sk1
    | ~ ssList(cons(hd(sk2),nil))
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk2)
    | ~ ssItem(hd(sk2)) ),
    inference(unflattening,[status(thm)],[c_60]) ).

cnf(c_400,negated_conjecture,
    neq(sk2,nil),
    inference(global_subsumption_just,[status(thm)],[c_264,c_55]) ).

cnf(c_2370,plain,
    ( ~ ssList(cons(hd(sk2),nil))
    | ~ neq(sk2,nil)
    | ~ neq(nil,sk2)
    | ~ ssItem(hd(sk2))
    | cons(hd(sk2),nil) = sk1 ),
    inference(light_normalisation,[status(thm)],[c_263,c_53,c_54]) ).

cnf(c_2371,plain,
    ( ~ ssList(cons(hd(sk2),nil))
    | ~ neq(nil,sk2)
    | ~ ssItem(hd(sk2))
    | cons(hd(sk2),nil) = sk1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2370,c_400]) ).

cnf(c_2408,plain,
    ( cons(hd(sk2),nil) != sk1
    | ~ ssList(cons(hd(sk2),nil))
    | ~ neq(sk2,nil)
    | ~ neq(nil,sk2)
    | ~ ssItem(hd(sk2)) ),
    inference(light_normalisation,[status(thm)],[c_266,c_53]) ).

cnf(c_2409,plain,
    ( cons(hd(sk2),nil) != sk1
    | ~ ssList(cons(hd(sk2),nil))
    | ~ neq(nil,sk2)
    | ~ ssItem(hd(sk2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2408,c_400]) ).

cnf(c_2414,plain,
    ( ~ ssList(cons(hd(sk2),nil))
    | ~ neq(nil,sk2)
    | ~ ssItem(hd(sk2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2409,c_2371]) ).

cnf(c_2848,plain,
    ( X0 != sk2
    | X0 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_400,c_251]) ).

cnf(c_2849,plain,
    ( sk2 != nil
    | ~ ssList(sk2) ),
    inference(unflattening,[status(thm)],[c_2848]) ).

cnf(c_2850,plain,
    sk2 != nil,
    inference(global_subsumption_just,[status(thm)],[c_2849,c_50,c_2849]) ).

cnf(c_2873,plain,
    ( X0 != sk2
    | X1 != nil
    | ~ ssList(cons(hd(sk2),nil))
    | ~ ssItem(hd(sk2))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_2414,c_160]) ).

cnf(c_2874,plain,
    ( ~ ssList(cons(hd(sk2),nil))
    | ~ ssItem(hd(sk2))
    | ~ ssList(sk2)
    | ~ ssList(nil)
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_2873]) ).

cnf(c_2875,plain,
    ( ~ ssItem(hd(sk2))
    | ~ ssList(cons(hd(sk2),nil)) ),
    inference(global_subsumption_just,[status(thm)],[c_2874,c_50,c_68,c_2849,c_2874]) ).

cnf(c_2876,plain,
    ( ~ ssList(cons(hd(sk2),nil))
    | ~ ssItem(hd(sk2)) ),
    inference(renaming,[status(thm)],[c_2875]) ).

cnf(c_6385,negated_conjecture,
    ssList(sk2),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_9327,plain,
    ( ~ ssItem(hd(sk2))
    | ~ ssList(nil) ),
    inference(superposition,[status(thm)],[c_146,c_2876]) ).

cnf(c_9328,plain,
    ~ ssItem(hd(sk2)),
    inference(forward_subsumption_resolution,[status(thm)],[c_9327,c_68]) ).

cnf(c_9362,plain,
    ( ~ ssList(sk2)
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_138,c_9328]) ).

cnf(c_9363,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9362,c_2850,c_6385]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC013-1 : TPTP v8.2.0. Released v2.4.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Jun 20 03:07:24 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  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
% 3.83/1.18  % SZS status Started for theBenchmark.p
% 3.83/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.83/1.18  
% 3.83/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.83/1.18  
% 3.83/1.18  ------  iProver source info
% 3.83/1.18  
% 3.83/1.18  git: date: 2024-06-12 09:56:46 +0000
% 3.83/1.18  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.83/1.18  git: non_committed_changes: false
% 3.83/1.18  
% 3.83/1.18  ------ Parsing...successful
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  ------ 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 
% 3.83/1.18  
% 3.83/1.18  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.83/1.18  
% 3.83/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.83/1.18  ------ Proving...
% 3.83/1.18  ------ Problem Properties 
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  clauses                                 183
% 3.83/1.18  conjectures                             4
% 3.83/1.18  EPR                                     57
% 3.83/1.18  Horn                                    155
% 3.83/1.18  unary                                   63
% 3.83/1.18  binary                                  22
% 3.83/1.18  lits                                    548
% 3.83/1.18  lits eq                                 72
% 3.83/1.18  fd_pure                                 0
% 3.83/1.18  fd_pseudo                               0
% 3.83/1.18  fd_cond                                 15
% 3.83/1.18  fd_pseudo_cond                          14
% 3.83/1.18  AC symbols                              0
% 3.83/1.18  
% 3.83/1.18  ------ Schedule dynamic 5 is on 
% 3.83/1.18  
% 3.83/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  ------ 
% 3.83/1.18  Current options:
% 3.83/1.18  ------ 
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  ------ Proving...
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.83/1.18  
% 3.83/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.83/1.18  
% 3.83/1.18  
%------------------------------------------------------------------------------