TSTP Solution File: COL027-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL027-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 02:09:35 EDT 2024

% Result   : Unsatisfiable 4.01s 1.18s
% Output   : CNFRefutation 4.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    7 (   7 unt;   0 nHn;   3 RR)
%            Number of literals    :    7 (   6 equ;   2 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   :   15 (   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(apply(apply(X0,X1),X2),X1) = apply(apply(apply(h,X0),X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_definition) ).

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

cnf(c_91,plain,
    apply(apply(apply(h,apply(b,X0)),X1),X2) = apply(apply(X0,apply(X1,X2)),X1),
    inference(superposition,[status(thm)],[c_49,c_50]) ).

cnf(c_220,plain,
    apply(apply(apply(h,apply(b,apply(b,X0))),X1),X2) = apply(X0,apply(apply(X1,X2),X1)),
    inference(superposition,[status(thm)],[c_91,c_49]) ).

cnf(c_2897,plain,
    apply(apply(apply(h,apply(b,apply(b,combinator))),X0),X1) != apply(apply(X0,X1),X0),
    inference(superposition,[status(thm)],[c_220,c_51]) ).

cnf(c_5061,plain,
    $false,
    inference(equality_resolution,[status(thm)],[c_2897]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COL027-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 21:34:13 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running UEQ theorem proving
% 0.20/0.47  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
% 4.01/1.18  % SZS status Started for theBenchmark.p
% 4.01/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 4.01/1.18  
% 4.01/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.01/1.18  
% 4.01/1.18  ------  iProver source info
% 4.01/1.18  
% 4.01/1.18  git: date: 2024-05-02 19:28:25 +0000
% 4.01/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.01/1.18  git: non_committed_changes: false
% 4.01/1.18  
% 4.01/1.18  ------ Parsing...successful
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.01/1.18  
% 4.01/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.01/1.18  
% 4.01/1.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 4.01/1.18  ------ Proving...
% 4.01/1.18  ------ Problem Properties 
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  clauses                                 3
% 4.01/1.18  conjectures                             1
% 4.01/1.18  EPR                                     0
% 4.01/1.18  Horn                                    3
% 4.01/1.18  unary                                   3
% 4.01/1.18  binary                                  0
% 4.01/1.18  lits                                    3
% 4.01/1.18  lits eq                                 3
% 4.01/1.18  fd_pure                                 0
% 4.01/1.18  fd_pseudo                               0
% 4.01/1.18  fd_cond                                 0
% 4.01/1.18  fd_pseudo_cond                          0
% 4.01/1.18  AC symbols                              0
% 4.01/1.18  
% 4.01/1.18  ------ Input Options Time Limit: Unbounded
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  ------ 
% 4.01/1.18  Current options:
% 4.01/1.18  ------ 
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  ------ Proving...
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 4.01/1.18  
% 4.01/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.01/1.18  
% 4.01/1.18  
%------------------------------------------------------------------------------