TSTP Solution File: COL070-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL070-1 : TPTP v8.1.2. Released v1.2.0.
% 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 02:09:47 EDT 2024

% Result   : Unsatisfiable 0.44s 1.15s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   4 RR)
%            Number of literals    :    8 (   7 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   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    apply(apply(apply(X0,X1),X1),X2) = apply(apply(apply(n1,X0),X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n1_definition) ).

cnf(c_50,plain,
    apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).

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

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

cnf(c_94,plain,
    apply(apply(apply(n1,apply(b,X0)),X1),X2) = apply(apply(X0,apply(X1,X1)),X2),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_362,plain,
    apply(apply(apply(n1,apply(b,apply(b,X0))),X1),X2) = apply(X0,apply(apply(X1,X1),X2)),
    inference(superposition,[status(thm)],[c_94,c_50]) ).

cnf(c_3977,plain,
    apply(apply(apply(n1,apply(b,apply(b,combinator))),X0),X1) != apply(apply(X0,X0),X1),
    inference(superposition,[status(thm)],[c_362,c_64]) ).

cnf(c_4989,plain,
    $false,
    inference(equality_resolution,[status(thm)],[c_3977]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : COL070-1 : TPTP v8.1.2. Released v1.2.0.
% 0.06/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May  2 21:21:33 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running UEQ theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.44/1.15  % SZS status Started for theBenchmark.p
% 0.44/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.15  
% 0.44/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.15  
% 0.44/1.15  ------  iProver source info
% 0.44/1.15  
% 0.44/1.15  git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.15  git: non_committed_changes: false
% 0.44/1.15  
% 0.44/1.15  ------ Parsing...successful
% 0.44/1.15  
% 0.44/1.15  
% 0.44/1.15  
% 0.44/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.44/1.15  
% 0.44/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.44/1.15  
% 0.44/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.44/1.15  ------ Proving...
% 0.44/1.15  ------ Problem Properties 
% 0.44/1.15  
% 0.44/1.15  
% 0.44/1.15  clauses                                 3
% 0.44/1.15  conjectures                             1
% 0.44/1.15  EPR                                     0
% 0.44/1.15  Horn                                    3
% 0.44/1.15  unary                                   3
% 0.44/1.15  binary                                  0
% 0.44/1.15  lits                                    3
% 0.44/1.15  lits eq                                 3
% 0.44/1.15  fd_pure                                 0
% 0.44/1.15  fd_pseudo                               0
% 0.44/1.15  fd_cond                                 0
% 0.44/1.15  fd_pseudo_cond                          0
% 0.44/1.15  AC symbols                              0
% 0.44/1.15  
% 0.44/1.15  ------ Input Options Time Limit: Unbounded
% 0.44/1.15  
% 0.44/1.15  
% 0.44/1.15  ------ 
% 0.44/1.15  Current options:
% 0.44/1.15  ------ 
% 0.44/1.15  
% 0.44/1.15  
% 0.44/1.15  
% 0.44/1.15  
% 0.44/1.15  ------ Proving...
% 0.44/1.15  
% 0.44/1.15  
% 0.44/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.15  
% 0.44/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.15  
% 0.44/1.15  
%------------------------------------------------------------------------------