TSTP Solution File: CAT002-4 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CAT002-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 02:08:59 EDT 2024

% Result   : Unsatisfiable 0.46s 1.15s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (   5 unt;   0 nHn;  10 RR)
%            Number of literals    :   19 (  18 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,plain,
    ( compose(a,X0) != X1
    | compose(a,X2) != X1
    | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_compose1) ).

cnf(c_51,plain,
    ( compose(b,X0) != X1
    | compose(b,X2) != X1
    | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_compose2) ).

cnf(c_53,plain,
    compose(compose(a,b),h) = compose(compose(a,b),g),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).

cnf(c_54,negated_conjecture,
    h != g,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_g_equals_h) ).

cnf(c_63,plain,
    compose(compose(X0,X1),X2) = compose(X0,compose(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).

cnf(c_67,plain,
    ( compose(b,X0) != compose(b,X1)
    | X1 = X0 ),
    inference(unflattening,[status(thm)],[c_51]) ).

cnf(c_68,plain,
    ( compose(a,X0) != compose(a,X1)
    | X1 = X0 ),
    inference(unflattening,[status(thm)],[c_50]) ).

cnf(c_164,plain,
    compose(a,compose(b,h)) = compose(a,compose(b,g)),
    inference(demodulation,[status(thm)],[c_53,c_63]) ).

cnf(c_484,plain,
    ( compose(b,g) != compose(b,h)
    | h = g ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_585,plain,
    ( compose(a,compose(b,h)) != compose(a,compose(b,g))
    | compose(b,g) = compose(b,h) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_587,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_585,c_484,c_164,c_54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : CAT002-4 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n015.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 21:34:36 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  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
% 0.46/1.15  % SZS status Started for theBenchmark.p
% 0.46/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.15  
% 0.46/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.15  
% 0.46/1.15  ------  iProver source info
% 0.46/1.15  
% 0.46/1.15  git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.15  git: non_committed_changes: false
% 0.46/1.15  
% 0.46/1.15  ------ Parsing...successful
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing... sup_sim: 1  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 
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.46/1.15  ------ Proving...
% 0.46/1.15  ------ Problem Properties 
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  clauses                                 14
% 0.46/1.15  conjectures                             1
% 0.46/1.15  EPR                                     2
% 0.46/1.15  Horn                                    14
% 0.46/1.15  unary                                   7
% 0.46/1.15  binary                                  6
% 0.46/1.15  lits                                    22
% 0.46/1.15  lits eq                                 11
% 0.46/1.15  fd_pure                                 0
% 0.46/1.15  fd_pseudo                               0
% 0.46/1.15  fd_cond                                 0
% 0.46/1.15  fd_pseudo_cond                          2
% 0.46/1.15  AC symbols                              0
% 0.46/1.15  
% 0.46/1.15  ------ Schedule dynamic 5 is on 
% 0.46/1.15  
% 0.46/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  ------ 
% 0.46/1.15  Current options:
% 0.46/1.15  ------ 
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  ------ Proving...
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.15  
% 0.46/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.15  
% 0.46/1.15  
%------------------------------------------------------------------------------