TSTP Solution File: COL002-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL002-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 04:46:58 EDT 2024

% Result   : Unsatisfiable 1.12s 1.11s
% Output   : CNFRefutation 1.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   13 (  13 unt;   0 nHn;   5 RR)
%            Number of literals    :   13 (  12 equ;   4 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;   4 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    apply(apply(X0,X1),apply(X2,X1)) = apply(apply(apply(s,X0),X2),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_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_52,plain,
    apply(i,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_definition) ).

cnf(c_53,negated_conjecture,
    apply(fixed_pt,X0) != X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).

cnf(c_107,plain,
    apply(apply(apply(s,i),X0),X1) = apply(X1,apply(X0,X1)),
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_112,plain,
    apply(apply(apply(s,X0),i),X1) = apply(apply(X0,X1),X1),
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_151,plain,
    apply(apply(apply(s,i),i),X0) = apply(X0,X0),
    inference(superposition,[status(thm)],[c_52,c_107]) ).

cnf(c_337,plain,
    apply(apply(apply(s,apply(b,X0)),i),X1) = apply(X0,apply(X1,X1)),
    inference(superposition,[status(thm)],[c_112,c_50]) ).

cnf(c_1079,plain,
    apply(apply(apply(s,apply(b,X0)),i),X1) = apply(X0,apply(apply(apply(s,i),i),X1)),
    inference(superposition,[status(thm)],[c_151,c_337]) ).

cnf(c_1112,plain,
    apply(apply(apply(s,apply(b,fixed_pt)),i),X0) != apply(X0,X0),
    inference(superposition,[status(thm)],[c_337,c_53]) ).

cnf(c_1323,plain,
    apply(fixed_pt,apply(apply(apply(s,i),i),X0)) != apply(X0,X0),
    inference(demodulation,[status(thm)],[c_1112,c_1079]) ).

cnf(c_1330,plain,
    apply(fixed_pt,apply(apply(apply(s,i),i),apply(apply(b,X0),X1))) != apply(X0,apply(X1,apply(apply(b,X0),X1))),
    inference(superposition,[status(thm)],[c_50,c_1323]) ).

cnf(c_2342,plain,
    $false,
    inference(equality_resolution,[status(thm)],[c_1330]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14  % Problem  : COL002-1 : TPTP v8.2.0. Released v1.0.0.
% 0.05/0.14  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n029.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 : Tue Jun 18 16:17:39 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  Running UEQ theorem proving
% 0.19/0.45  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
% 1.12/1.11  % SZS status Started for theBenchmark.p
% 1.12/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 1.12/1.11  
% 1.12/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.12/1.11  
% 1.12/1.11  ------  iProver source info
% 1.12/1.11  
% 1.12/1.11  git: date: 2024-06-12 09:56:46 +0000
% 1.12/1.11  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 1.12/1.11  git: non_committed_changes: false
% 1.12/1.11  
% 1.12/1.11  ------ Parsing...successful
% 1.12/1.11  
% 1.12/1.11  
% 1.12/1.11  
% 1.12/1.11  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.12/1.11  
% 1.12/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.12/1.11  
% 1.12/1.11  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 1.12/1.11  ------ Proving...
% 1.12/1.11  ------ Problem Properties 
% 1.12/1.11  
% 1.12/1.11  
% 1.12/1.11  clauses                                 5
% 1.12/1.11  conjectures                             1
% 1.12/1.11  EPR                                     0
% 1.12/1.11  Horn                                    5
% 1.12/1.11  unary                                   5
% 1.12/1.11  binary                                  0
% 1.12/1.11  lits                                    5
% 1.12/1.11  lits eq                                 5
% 1.12/1.11  fd_pure                                 0
% 1.12/1.11  fd_pseudo                               0
% 1.12/1.11  fd_cond                                 0
% 1.12/1.11  fd_pseudo_cond                          0
% 1.12/1.11  AC symbols                              0
% 1.12/1.11  
% 1.12/1.11  ------ Input Options Time Limit: Unbounded
% 1.12/1.11  
% 1.12/1.11  
% 1.12/1.11  ------ 
% 1.12/1.11  Current options:
% 1.12/1.11  ------ 
% 1.12/1.11  
% 1.12/1.11  
% 1.12/1.11  
% 1.12/1.11  
% 1.12/1.11  ------ Proving...
% 1.12/1.11  
% 1.12/1.11  
% 1.12/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 1.12/1.11  
% 1.12/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.12/1.11  
% 1.12/1.11  
%------------------------------------------------------------------------------