TSTP Solution File: COL034-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL034-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 : Mon Jun 24 04:47:24 EDT 2024

% Result   : Unsatisfiable 11.17s 2.14s
% Output   : CNFRefutation 11.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (  11 unt;   0 nHn;   7 RR)
%            Number of literals    :   11 (  10 equ;   6 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   10 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

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

cnf(c_50,plain,
    apply(X0,X0) = apply(m,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_definition) ).

cnf(c_51,plain,
    apply(apply(t,X0),X1) = apply(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition) ).

cnf(c_52,negated_conjecture,
    apply(f(X0),apply(X0,f(X0))) != apply(X0,f(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).

cnf(c_68,negated_conjecture,
    apply(f(X0),apply(X0,f(X0))) != apply(X0,f(X0)),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_173,plain,
    apply(X0,apply(X1,apply(apply(b,X0),X1))) = apply(m,apply(apply(b,X0),X1)),
    inference(superposition,[status(thm)],[c_49,c_50]) ).

cnf(c_174,plain,
    apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1))))) != apply(X0,apply(X1,f(apply(apply(b,X0),X1)))),
    inference(superposition,[status(thm)],[c_49,c_68]) ).

cnf(c_208,plain,
    apply(f(apply(apply(b,apply(apply(b,X0),X1)),X2)),apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2)))))) != apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2))))),
    inference(superposition,[status(thm)],[c_49,c_174]) ).

cnf(c_331,plain,
    apply(f(apply(apply(b,apply(apply(b,X0),apply(t,X1))),X2)),apply(X0,apply(apply(X2,f(apply(apply(b,apply(apply(b,X0),apply(t,X1))),X2))),X1))) != apply(X0,apply(apply(X2,f(apply(apply(b,apply(apply(b,X0),apply(t,X1))),X2))),X1)),
    inference(superposition,[status(thm)],[c_51,c_208]) ).

cnf(c_3172,plain,
    apply(X0,apply(apply(b,f(apply(apply(b,apply(apply(b,X0),apply(t,X0))),b))),X0)) != apply(m,apply(apply(b,f(apply(apply(b,apply(apply(b,X0),apply(t,X0))),b))),X0)),
    inference(superposition,[status(thm)],[c_173,c_331]) ).

cnf(c_6928,plain,
    $false,
    inference(equality_resolution,[status(thm)],[c_3172]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15  % Problem  : COL034-1 : TPTP v8.2.0. Released v1.0.0.
% 0.08/0.15  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Tue Jun 18 15:55:39 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.22/0.47  Running UEQ theorem proving
% 0.22/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 11.17/2.14  % SZS status Started for theBenchmark.p
% 11.17/2.14  % SZS status Unsatisfiable for theBenchmark.p
% 11.17/2.14  
% 11.17/2.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 11.17/2.14  
% 11.17/2.14  ------  iProver source info
% 11.17/2.14  
% 11.17/2.14  git: date: 2024-06-12 09:56:46 +0000
% 11.17/2.14  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 11.17/2.14  git: non_committed_changes: false
% 11.17/2.14  
% 11.17/2.14  ------ Parsing...successful
% 11.17/2.14  
% 11.17/2.14  
% 11.17/2.14  
% 11.17/2.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 11.17/2.14  
% 11.17/2.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 11.17/2.14  
% 11.17/2.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 11.17/2.14  ------ Proving...
% 11.17/2.14  ------ Problem Properties 
% 11.17/2.14  
% 11.17/2.14  
% 11.17/2.14  clauses                                 4
% 11.17/2.14  conjectures                             1
% 11.17/2.14  EPR                                     0
% 11.17/2.14  Horn                                    4
% 11.17/2.14  unary                                   4
% 11.17/2.14  binary                                  0
% 11.17/2.14  lits                                    4
% 11.17/2.14  lits eq                                 4
% 11.17/2.14  fd_pure                                 0
% 11.17/2.14  fd_pseudo                               0
% 11.17/2.14  fd_cond                                 0
% 11.17/2.14  fd_pseudo_cond                          0
% 11.17/2.14  AC symbols                              0
% 11.17/2.14  
% 11.17/2.14  ------ Input Options Time Limit: Unbounded
% 11.17/2.14  
% 11.17/2.14  
% 11.17/2.14  ------ 
% 11.17/2.14  Current options:
% 11.17/2.14  ------ 
% 11.17/2.14  
% 11.17/2.14  
% 11.17/2.14  
% 11.17/2.14  
% 11.17/2.14  ------ Proving...
% 11.17/2.14  
% 11.17/2.14  
% 11.17/2.14  % SZS status Unsatisfiable for theBenchmark.p
% 11.17/2.14  
% 11.17/2.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.17/2.14  
% 11.17/2.14  
%------------------------------------------------------------------------------