TSTP Solution File: SWC012-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC012-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 03:10:52 EDT 2024

% Result   : Unsatisfiable 3.82s 1.13s
% Output   : CNFRefutation 3.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   26 (  14 unt;   0 nHn;  26 RR)
%            Number of literals    :   58 (  22 equ;  38 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

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_57,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sk2
    | app(X0,X2) != sk1
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(c_60,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sk2
    | app(X0,X2) != sk1
    | ~ neq(sk4,nil)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(sk3,cons(sk5,nil)) = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

cnf(c_70,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_135,plain,
    ( ~ ssList(X0)
    | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).

cnf(c_401,negated_conjecture,
    neq(sk2,nil),
    inference(global_subsumption_just,[status(thm)],[c_57,c_55]) ).

cnf(c_1571,plain,
    ( ~ neq(sk2,nil)
    | ssItem(sk5) ),
    inference(light_normalisation,[status(thm)],[c_61,c_53]) ).

cnf(c_1572,plain,
    ssItem(sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_1571,c_401]) ).

cnf(c_1751,plain,
    ( ~ neq(sk2,nil)
    | app(sk1,cons(sk5,nil)) = sk2 ),
    inference(light_normalisation,[status(thm)],[c_62,c_53,c_54]) ).

cnf(c_1752,plain,
    app(sk1,cons(sk5,nil)) = sk2,
    inference(forward_subsumption_resolution,[status(thm)],[c_1751,c_401]) ).

cnf(c_2399,plain,
    ( app(app(X0,cons(X1,nil)),X2) != sk2
    | app(X0,X2) != sk1
    | ~ neq(sk2,nil)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(light_normalisation,[status(thm)],[c_60,c_53]) ).

cnf(c_2400,plain,
    ( app(app(X0,cons(X1,nil)),X2) != sk2
    | app(X0,X2) != sk1
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2399,c_401]) ).

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

cnf(c_6352,negated_conjecture,
    ssList(sk1),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_8870,plain,
    ( app(sk1,X0) != sk1
    | app(sk2,X0) != sk2
    | ~ ssList(X0)
    | ~ ssList(sk1)
    | ~ ssItem(sk5) ),
    inference(superposition,[status(thm)],[c_1752,c_2400]) ).

cnf(c_8871,plain,
    ( app(sk1,X0) != sk1
    | app(sk2,X0) != sk2
    | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8870,c_1572,c_6352]) ).

cnf(c_8875,plain,
    ( app(sk1,nil) != sk1
    | app(sk2,nil) != sk2
    | ~ ssList(nil) ),
    inference(instantiation,[status(thm)],[c_8871]) ).

cnf(c_8922,plain,
    app(sk1,nil) = sk1,
    inference(superposition,[status(thm)],[c_6352,c_135]) ).

cnf(c_8923,plain,
    app(sk2,nil) = sk2,
    inference(superposition,[status(thm)],[c_6351,c_135]) ).

cnf(c_8952,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_8922,c_8923,c_8875,c_70]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWC012-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.32  % Computer : n018.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Thu May  2 23:41:31 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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
% 3.82/1.13  % SZS status Started for theBenchmark.p
% 3.82/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.82/1.13  
% 3.82/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.82/1.13  
% 3.82/1.13  ------  iProver source info
% 3.82/1.13  
% 3.82/1.13  git: date: 2024-05-02 19:28:25 +0000
% 3.82/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.82/1.13  git: non_committed_changes: false
% 3.82/1.13  
% 3.82/1.13  ------ Parsing...successful
% 3.82/1.13  
% 3.82/1.13  
% 3.82/1.13  
% 3.82/1.13  ------ Preprocessing... sup_sim: 7  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 
% 3.82/1.13  
% 3.82/1.13  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.82/1.13  
% 3.82/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.82/1.13  ------ Proving...
% 3.82/1.13  ------ Problem Properties 
% 3.82/1.13  
% 3.82/1.13  
% 3.82/1.13  clauses                                 185
% 3.82/1.13  conjectures                             4
% 3.82/1.13  EPR                                     58
% 3.82/1.13  Horn                                    157
% 3.82/1.13  unary                                   65
% 3.82/1.13  binary                                  21
% 3.82/1.13  lits                                    553
% 3.82/1.13  lits eq                                 75
% 3.82/1.13  fd_pure                                 0
% 3.82/1.13  fd_pseudo                               0
% 3.82/1.13  fd_cond                                 15
% 3.82/1.13  fd_pseudo_cond                          14
% 3.82/1.13  AC symbols                              0
% 3.82/1.13  
% 3.82/1.13  ------ Schedule dynamic 5 is on 
% 3.82/1.13  
% 3.82/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.82/1.13  
% 3.82/1.13  
% 3.82/1.13  ------ 
% 3.82/1.13  Current options:
% 3.82/1.13  ------ 
% 3.82/1.13  
% 3.82/1.13  
% 3.82/1.13  
% 3.82/1.13  
% 3.82/1.13  ------ Proving...
% 3.82/1.13  
% 3.82/1.13  
% 3.82/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.82/1.13  
% 3.82/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.82/1.13  
% 3.82/1.13  
%------------------------------------------------------------------------------