TSTP Solution File: COL075-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL075-2 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 02:09:48 EDT 2024

% Result   : Unsatisfiable 3.42s 1.25s
% Output   : CNFRefutation 3.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   3 RR)
%            Number of literals    :    8 (   7 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (   2 sgn)

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

cnf(c_50,plain,
    apply(apply(X0,apply(k,X1)),apply(X2,X1)) = apply(apply(apply(abstraction,X0),X2),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstraction) ).

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

cnf(c_64,negated_conjecture,
    apply(apply(X0,b(X0)),c(X0)) != apply(b(X0),b(X0)),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_94,plain,
    apply(apply(apply(abstraction,apply(k,X0)),X1),X2) = apply(X0,apply(X1,X2)),
    inference(superposition,[status(thm)],[c_49,c_50]) ).

cnf(c_130,plain,
    apply(apply(apply(apply(abstraction,abstraction),X0),X1),X2) = apply(X1,apply(apply(X0,X1),X2)),
    inference(superposition,[status(thm)],[c_50,c_94]) ).

cnf(c_209,plain,
    apply(apply(apply(apply(abstraction,abstraction),k),X0),X1) = apply(X0,X0),
    inference(superposition,[status(thm)],[c_49,c_130]) ).

cnf(c_412,plain,
    $false,
    inference(superposition,[status(thm)],[c_209,c_64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : COL075-2 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n007.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 21:19:05 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.22/0.49  Running UEQ theorem proving
% 0.22/0.49  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
% 3.42/1.25  % SZS status Started for theBenchmark.p
% 3.42/1.25  % SZS status Unsatisfiable for theBenchmark.p
% 3.42/1.25  
% 3.42/1.25  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.42/1.25  
% 3.42/1.25  ------  iProver source info
% 3.42/1.25  
% 3.42/1.25  git: date: 2024-05-02 19:28:25 +0000
% 3.42/1.25  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.42/1.25  git: non_committed_changes: false
% 3.42/1.25  
% 3.42/1.25  ------ Parsing...successful
% 3.42/1.25  
% 3.42/1.25  
% 3.42/1.25  
% 3.42/1.25  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.42/1.25  
% 3.42/1.25  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.42/1.25  
% 3.42/1.25  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.42/1.25  ------ Proving...
% 3.42/1.25  ------ Problem Properties 
% 3.42/1.25  
% 3.42/1.25  
% 3.42/1.25  clauses                                 3
% 3.42/1.25  conjectures                             1
% 3.42/1.25  EPR                                     0
% 3.42/1.25  Horn                                    3
% 3.42/1.25  unary                                   3
% 3.42/1.25  binary                                  0
% 3.42/1.25  lits                                    3
% 3.42/1.25  lits eq                                 3
% 3.42/1.25  fd_pure                                 0
% 3.42/1.25  fd_pseudo                               0
% 3.42/1.25  fd_cond                                 0
% 3.42/1.25  fd_pseudo_cond                          0
% 3.42/1.25  AC symbols                              0
% 3.42/1.25  
% 3.42/1.25  ------ Input Options Time Limit: Unbounded
% 3.42/1.25  
% 3.42/1.25  
% 3.42/1.25  ------ 
% 3.42/1.25  Current options:
% 3.42/1.25  ------ 
% 3.42/1.25  
% 3.42/1.25  
% 3.42/1.25  
% 3.42/1.25  
% 3.42/1.25  ------ Proving...
% 3.42/1.25  
% 3.42/1.25  
% 3.42/1.25  % SZS status Unsatisfiable for theBenchmark.p
% 3.42/1.25  
% 3.42/1.25  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.42/1.25  
% 3.42/1.25  
%------------------------------------------------------------------------------