TSTP Solution File: SWC313-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC313-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 20:42:27 EDT 2023

% Result   : Unsatisfiable 11.91s 2.68s
% Output   : CNFRefutation 11.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   38 (   5 unt;   6 nHn;  38 RR)
%            Number of literals    :  108 (  66 equ;  75 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   34 (   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,
    ( app(cons(X0,nil),X1) != sk4
    | ~ ssList(X1)
    | ~ ssItem(X0)
    | app(X1,cons(X0,nil)) = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ( sk4 != nil
    | sk3 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

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

cnf(c_59,negated_conjecture,
    ( sk1 != nil
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

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

cnf(c_137,plain,
    ( ~ ssList(X0)
    | X0 = nil
    | ssList(tl(X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause77) ).

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

cnf(c_164,plain,
    ( ~ ssList(X0)
    | cons(hd(X0),tl(X0)) = X0
    | X0 = nil ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).

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_180,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X0) = cons(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).

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

cnf(c_1549,plain,
    ( sk2 != nil
    | sk1 = nil ),
    inference(light_normalisation,[status(thm)],[c_56,c_53,c_54]) ).

cnf(c_1550,plain,
    ( app(cons(X0,nil),X1) != sk2
    | ~ ssList(X1)
    | ~ ssItem(X0)
    | app(X1,cons(X0,nil)) = sk1 ),
    inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).

cnf(c_1605,plain,
    ( X0 != sk2
    | X0 != nil
    | sk1 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_59,c_251]) ).

cnf(c_1606,plain,
    ( sk1 != nil
    | sk2 != nil
    | ~ ssList(sk2) ),
    inference(unflattening,[status(thm)],[c_1605]) ).

cnf(c_1607,plain,
    sk2 != nil,
    inference(global_subsumption_just,[status(thm)],[c_1606,c_50,c_1549,c_1606]) ).

cnf(c_1627,plain,
    ( app(cons(X0,nil),X1) != sk2
    | app(X1,cons(X0,nil)) != sk1
    | ~ ssList(X1)
    | ~ ssItem(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_58,c_1607]) ).

cnf(c_2450,plain,
    ( app(cons(X0,nil),X1) != sk2
    | ~ ssList(X1)
    | ~ ssItem(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1627,c_58,c_1550,c_1607]) ).

cnf(c_2455,negated_conjecture,
    ( app(cons(X0,nil),X1) != sk2
    | ~ ssList(X1)
    | ~ ssItem(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_2450]) ).

cnf(c_6354,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_8884,plain,
    ( ~ ssList(sk2)
    | cons(hd(sk2),tl(sk2)) = sk2
    | sk2 = nil ),
    inference(instantiation,[status(thm)],[c_164]) ).

cnf(c_8889,plain,
    ( ~ ssList(sk2)
    | sk2 = nil
    | ssList(tl(sk2)) ),
    inference(instantiation,[status(thm)],[c_137]) ).

cnf(c_8890,plain,
    ( ~ ssList(sk2)
    | sk2 = nil
    | ssItem(hd(sk2)) ),
    inference(instantiation,[status(thm)],[c_138]) ).

cnf(c_9199,plain,
    ( X0 != X1
    | sk2 != X1
    | sk2 = X0 ),
    inference(instantiation,[status(thm)],[c_6354]) ).

cnf(c_10358,plain,
    ( app(cons(hd(sk2),nil),X0) != sk2
    | ~ ssItem(hd(sk2))
    | ~ ssList(X0) ),
    inference(instantiation,[status(thm)],[c_2455]) ).

cnf(c_10839,plain,
    ( X0 != sk4
    | sk2 != sk4
    | sk2 = X0 ),
    inference(instantiation,[status(thm)],[c_9199]) ).

cnf(c_10856,plain,
    ( X0 != sk2
    | sk2 != sk2
    | sk2 = X0 ),
    inference(instantiation,[status(thm)],[c_9199]) ).

cnf(c_16798,plain,
    ( sk2 != sk4
    | sk2 = sk2 ),
    inference(instantiation,[status(thm)],[c_10839]) ).

cnf(c_16961,plain,
    ( cons(hd(sk2),tl(sk2)) != sk2
    | sk2 != sk2
    | sk2 = cons(hd(sk2),tl(sk2)) ),
    inference(instantiation,[status(thm)],[c_10856]) ).

cnf(c_16993,plain,
    ( X0 != X1
    | sk2 != X1
    | X0 = sk2 ),
    inference(instantiation,[status(thm)],[c_6354]) ).

cnf(c_20410,plain,
    ( X0 != cons(hd(sk2),tl(sk2))
    | sk2 != cons(hd(sk2),tl(sk2))
    | X0 = sk2 ),
    inference(instantiation,[status(thm)],[c_16993]) ).

cnf(c_22676,plain,
    ( app(cons(hd(sk2),nil),tl(sk2)) != cons(hd(sk2),tl(sk2))
    | sk2 != cons(hd(sk2),tl(sk2))
    | app(cons(hd(sk2),nil),tl(sk2)) = sk2 ),
    inference(instantiation,[status(thm)],[c_20410]) ).

cnf(c_26160,plain,
    ( ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2))
    | app(cons(hd(sk2),nil),tl(sk2)) = cons(hd(sk2),tl(sk2)) ),
    inference(instantiation,[status(thm)],[c_180]) ).

cnf(c_34695,plain,
    ( app(cons(hd(sk2),nil),tl(sk2)) != sk2
    | ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2)) ),
    inference(instantiation,[status(thm)],[c_10358]) ).

cnf(c_34696,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_34695,c_26160,c_22676,c_16961,c_16798,c_8884,c_8889,c_8890,c_1607,c_53,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC313-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n031.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 16:32:40 EDT 2023
% 0.13/0.35  % 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 --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 11.91/2.68  % SZS status Started for theBenchmark.p
% 11.91/2.68  % SZS status Unsatisfiable for theBenchmark.p
% 11.91/2.68  
% 11.91/2.68  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 11.91/2.68  
% 11.91/2.68  ------  iProver source info
% 11.91/2.68  
% 11.91/2.68  git: date: 2023-05-31 18:12:56 +0000
% 11.91/2.68  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 11.91/2.68  git: non_committed_changes: false
% 11.91/2.68  git: last_make_outside_of_git: false
% 11.91/2.68  
% 11.91/2.68  ------ Parsing...successful
% 11.91/2.68  
% 11.91/2.68  
% 11.91/2.68  
% 11.91/2.68  ------ Preprocessing... sup_sim: 2  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  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 11.91/2.68  
% 11.91/2.68  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 11.91/2.68  
% 11.91/2.68  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 11.91/2.68  ------ Proving...
% 11.91/2.68  ------ Problem Properties 
% 11.91/2.68  
% 11.91/2.68  
% 11.91/2.68  clauses                                 185
% 11.91/2.68  conjectures                             7
% 11.91/2.68  EPR                                     59
% 11.91/2.68  Horn                                    157
% 11.91/2.68  unary                                   65
% 11.91/2.68  binary                                  21
% 11.91/2.68  lits                                    551
% 11.91/2.68  lits eq                                 73
% 11.91/2.68  fd_pure                                 0
% 11.91/2.68  fd_pseudo                               0
% 11.91/2.68  fd_cond                                 15
% 11.91/2.68  fd_pseudo_cond                          14
% 11.91/2.68  AC symbols                              0
% 11.91/2.68  
% 11.91/2.68  ------ Input Options Time Limit: Unbounded
% 11.91/2.68  
% 11.91/2.68  
% 11.91/2.68  ------ 
% 11.91/2.68  Current options:
% 11.91/2.68  ------ 
% 11.91/2.68  
% 11.91/2.68  
% 11.91/2.68  
% 11.91/2.68  
% 11.91/2.68  ------ Proving...
% 11.91/2.68  
% 11.91/2.68  
% 11.91/2.68  % SZS status Unsatisfiable for theBenchmark.p
% 11.91/2.68  
% 11.91/2.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.91/2.68  
% 11.91/2.68  
%------------------------------------------------------------------------------