TSTP Solution File: SWC030-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC030-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 03:10:57 EDT 2024

% Result   : Unsatisfiable 4.19s 1.24s
% Output   : CNFRefutation 4.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   39 (  26 unt;   2 nHn;  39 RR)
%            Number of literals    :   66 (  45 equ;  29 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

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

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,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    app(sk5,sk6) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    app(sk6,sk5) = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

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

cnf(c_62,negated_conjecture,
    ( sk1 != nil
    | sk2 != nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

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

cnf(c_136,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(c_180,plain,
    ( app(X0,X1) != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = nil ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).

cnf(c_181,plain,
    ( app(X0,X1) != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X1 = nil ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).

cnf(c_1894,plain,
    app(sk6,sk5) = sk1,
    inference(light_normalisation,[status(thm)],[c_58,c_54]) ).

cnf(c_1895,plain,
    app(sk5,sk6) = sk2,
    inference(light_normalisation,[status(thm)],[c_57,c_53]) ).

cnf(c_10322,plain,
    app(nil,sk1) = sk1,
    inference(superposition,[status(thm)],[c_49,c_136]) ).

cnf(c_10325,plain,
    app(nil,sk6) = sk6,
    inference(superposition,[status(thm)],[c_56,c_136]) ).

cnf(c_10334,plain,
    app(sk6,nil) = sk6,
    inference(superposition,[status(thm)],[c_56,c_135]) ).

cnf(c_10403,plain,
    ( sk2 != nil
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | sk6 = nil ),
    inference(superposition,[status(thm)],[c_1895,c_181]) ).

cnf(c_10404,plain,
    ( sk1 != nil
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | sk5 = nil ),
    inference(superposition,[status(thm)],[c_1894,c_181]) ).

cnf(c_10414,plain,
    ( sk2 != nil
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | sk5 = nil ),
    inference(superposition,[status(thm)],[c_1895,c_180]) ).

cnf(c_10415,plain,
    ( sk1 != nil
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | sk6 = nil ),
    inference(superposition,[status(thm)],[c_1894,c_180]) ).

cnf(c_10901,plain,
    sk5 = nil,
    inference(global_subsumption_just,[status(thm)],[c_10404,c_56,c_55,c_59,c_10404,c_10414]) ).

cnf(c_10907,plain,
    app(sk6,sk5) = sk6,
    inference(superposition,[status(thm)],[c_10901,c_10334]) ).

cnf(c_10908,plain,
    app(sk5,sk1) = sk1,
    inference(superposition,[status(thm)],[c_10901,c_10322]) ).

cnf(c_10911,plain,
    app(sk5,sk6) = sk6,
    inference(superposition,[status(thm)],[c_10901,c_10325]) ).

cnf(c_10912,plain,
    ( sk1 != nil
    | sk2 != sk5 ),
    inference(superposition,[status(thm)],[c_10901,c_62]) ).

cnf(c_10913,plain,
    ( sk1 = nil
    | sk2 = sk5 ),
    inference(superposition,[status(thm)],[c_10901,c_59]) ).

cnf(c_10961,plain,
    sk6 = nil,
    inference(global_subsumption_just,[status(thm)],[c_10403,c_56,c_55,c_59,c_10403,c_10415]) ).

cnf(c_10963,plain,
    sk5 = sk6,
    inference(light_normalisation,[status(thm)],[c_10961,c_10901]) ).

cnf(c_12614,plain,
    sk2 = sk5,
    inference(light_normalisation,[status(thm)],[c_10911,c_1895,c_10963]) ).

cnf(c_12690,plain,
    app(sk2,sk1) = sk1,
    inference(light_normalisation,[status(thm)],[c_10908,c_12614]) ).

cnf(c_12694,plain,
    ( sk1 != nil
    | ~ ssList(sk1)
    | ~ ssList(sk2)
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_12690,c_180]) ).

cnf(c_12701,plain,
    sk1 = sk2,
    inference(light_normalisation,[status(thm)],[c_10907,c_1894,c_10963,c_12614]) ).

cnf(c_12729,plain,
    sk2 = sk5,
    inference(global_subsumption_just,[status(thm)],[c_10913,c_50,c_49,c_62,c_10913,c_12694]) ).

cnf(c_12731,plain,
    sk1 != nil,
    inference(global_subsumption_just,[status(thm)],[c_10912,c_10912,c_12729]) ).

cnf(c_12733,plain,
    sk1 != sk1,
    inference(light_normalisation,[status(thm)],[c_12731,c_10901,c_12614,c_12701]) ).

cnf(c_12734,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_12733]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWC030-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 23:24:10 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  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
% 4.19/1.24  % SZS status Started for theBenchmark.p
% 4.19/1.24  % SZS status Unsatisfiable for theBenchmark.p
% 4.19/1.24  
% 4.19/1.24  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.19/1.24  
% 4.19/1.24  ------  iProver source info
% 4.19/1.24  
% 4.19/1.24  git: date: 2024-05-02 19:28:25 +0000
% 4.19/1.24  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.19/1.24  git: non_committed_changes: false
% 4.19/1.24  
% 4.19/1.24  ------ Parsing...successful
% 4.19/1.24  
% 4.19/1.24  
% 4.19/1.24  
% 4.19/1.24  ------ Preprocessing... sup_sim: 6  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.19/1.24  
% 4.19/1.24  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.19/1.24  
% 4.19/1.24  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.19/1.24  ------ Proving...
% 4.19/1.24  ------ Problem Properties 
% 4.19/1.24  
% 4.19/1.24  
% 4.19/1.24  clauses                                 187
% 4.19/1.24  conjectures                             8
% 4.19/1.24  EPR                                     60
% 4.19/1.24  Horn                                    158
% 4.19/1.24  unary                                   66
% 4.19/1.24  binary                                  23
% 4.19/1.24  lits                                    553
% 4.19/1.24  lits eq                                 77
% 4.19/1.24  fd_pure                                 0
% 4.19/1.24  fd_pseudo                               0
% 4.19/1.24  fd_cond                                 15
% 4.19/1.24  fd_pseudo_cond                          14
% 4.19/1.24  AC symbols                              0
% 4.19/1.24  
% 4.19/1.24  ------ Input Options Time Limit: Unbounded
% 4.19/1.24  
% 4.19/1.24  
% 4.19/1.24  ------ 
% 4.19/1.24  Current options:
% 4.19/1.24  ------ 
% 4.19/1.24  
% 4.19/1.24  
% 4.19/1.24  
% 4.19/1.24  
% 4.19/1.24  ------ Proving...
% 4.19/1.24  
% 4.19/1.24  
% 4.19/1.24  ------ Proving...
% 4.19/1.24  
% 4.19/1.24  
% 4.19/1.24  ------ Proving...
% 4.19/1.24  
% 4.19/1.24  
% 4.19/1.24  % SZS status Unsatisfiable for theBenchmark.p
% 4.19/1.24  
% 4.19/1.24  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.19/1.24  
% 4.19/1.24  
%------------------------------------------------------------------------------