TSTP Solution File: COL009-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 02:09:32 EDT 2024

% Result   : Unsatisfiable 90.89s 12.11s
% Output   : CNFRefutation 90.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    7 (   7 unt;   0 nHn;   4 RR)
%            Number of literals    :    7 (   6 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).

cnf(c_50,plain,
    apply(X0,apply(X1,X1)) = apply(apply(l2,X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_definition) ).

cnf(c_51,negated_conjecture,
    apply(combinator,X0) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).

cnf(c_102,plain,
    apply(apply(l2,X0),apply(apply(b,X1),X2)) = apply(X1,apply(X2,apply(X0,X0))),
    inference(superposition,[status(thm)],[c_49,c_50]) ).

cnf(c_2322,plain,
    apply(apply(l2,X0),apply(apply(b,combinator),X1)) != apply(X1,apply(X0,X0)),
    inference(superposition,[status(thm)],[c_102,c_51]) ).

cnf(c_28903,plain,
    apply(apply(l2,apply(apply(b,X0),X1)),apply(apply(b,combinator),X2)) != apply(X2,apply(X0,apply(X1,apply(apply(b,X0),X1)))),
    inference(superposition,[status(thm)],[c_49,c_2322]) ).

cnf(c_121010,plain,
    $false,
    inference(equality_resolution,[status(thm)],[c_28903]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : COL009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n004.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 21:22:33 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running UEQ theorem proving
% 0.16/0.42  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 90.89/12.11  % SZS status Started for theBenchmark.p
% 90.89/12.11  % SZS status Unsatisfiable for theBenchmark.p
% 90.89/12.11  
% 90.89/12.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 90.89/12.11  
% 90.89/12.11  ------  iProver source info
% 90.89/12.11  
% 90.89/12.11  git: date: 2024-05-02 19:28:25 +0000
% 90.89/12.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 90.89/12.11  git: non_committed_changes: false
% 90.89/12.11  
% 90.89/12.11  ------ Parsing...successful
% 90.89/12.11  
% 90.89/12.11  
% 90.89/12.11  
% 90.89/12.11  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 90.89/12.11  
% 90.89/12.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 90.89/12.11  
% 90.89/12.11  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 90.89/12.11  ------ Proving...
% 90.89/12.11  ------ Problem Properties 
% 90.89/12.11  
% 90.89/12.11  
% 90.89/12.11  clauses                                 3
% 90.89/12.11  conjectures                             1
% 90.89/12.11  EPR                                     0
% 90.89/12.11  Horn                                    3
% 90.89/12.11  unary                                   3
% 90.89/12.11  binary                                  0
% 90.89/12.11  lits                                    3
% 90.89/12.11  lits eq                                 3
% 90.89/12.11  fd_pure                                 0
% 90.89/12.11  fd_pseudo                               0
% 90.89/12.11  fd_cond                                 0
% 90.89/12.11  fd_pseudo_cond                          0
% 90.89/12.11  AC symbols                              0
% 90.89/12.11  
% 90.89/12.11  ------ Input Options Time Limit: Unbounded
% 90.89/12.11  
% 90.89/12.11  
% 90.89/12.11  ------ 
% 90.89/12.11  Current options:
% 90.89/12.11  ------ 
% 90.89/12.11  
% 90.89/12.11  
% 90.89/12.11  
% 90.89/12.11  
% 90.89/12.11  ------ Proving...
% 90.89/12.11  
% 90.89/12.11  
% 90.89/12.11  % SZS status Unsatisfiable for theBenchmark.p
% 90.89/12.11  
% 90.89/12.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 90.89/12.11  
% 90.89/12.11  
%------------------------------------------------------------------------------