TSTP Solution File: COL026-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL026-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 7.69s 1.68s
% Output   : CNFRefutation 7.69s
% 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    :    5 (   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   :   14 (   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(apply(X0,X1),X1) = apply(apply(w1,X1),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w1_definition) ).

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

cnf(c_102,plain,
    apply(apply(w1,X0),apply(apply(b,X1),X2)) = apply(apply(X1,apply(X2,X0)),X0),
    inference(superposition,[status(thm)],[c_49,c_50]) ).

cnf(c_489,plain,
    apply(apply(w1,X0),apply(apply(b,apply(b,X1)),X2)) = apply(X1,apply(apply(X2,X0),X0)),
    inference(superposition,[status(thm)],[c_102,c_49]) ).

cnf(c_6440,plain,
    apply(apply(w1,X0),apply(apply(b,apply(b,combinator)),X1)) != apply(apply(X1,X0),X0),
    inference(superposition,[status(thm)],[c_489,c_51]) ).

cnf(c_6950,plain,
    $false,
    inference(equality_resolution,[status(thm)],[c_6440]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : COL026-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n006.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 21:23:04 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running UEQ theorem proving
% 0.20/0.48  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
% 7.69/1.68  % SZS status Started for theBenchmark.p
% 7.69/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.69/1.68  
% 7.69/1.68  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.69/1.68  
% 7.69/1.68  ------  iProver source info
% 7.69/1.68  
% 7.69/1.68  git: date: 2024-05-02 19:28:25 +0000
% 7.69/1.68  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.69/1.68  git: non_committed_changes: false
% 7.69/1.68  
% 7.69/1.68  ------ Parsing...successful
% 7.69/1.68  
% 7.69/1.68  
% 7.69/1.68  
% 7.69/1.68  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.69/1.68  
% 7.69/1.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.69/1.68  
% 7.69/1.68  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.69/1.68  ------ Proving...
% 7.69/1.68  ------ Problem Properties 
% 7.69/1.68  
% 7.69/1.68  
% 7.69/1.68  clauses                                 3
% 7.69/1.68  conjectures                             1
% 7.69/1.68  EPR                                     0
% 7.69/1.68  Horn                                    3
% 7.69/1.68  unary                                   3
% 7.69/1.68  binary                                  0
% 7.69/1.68  lits                                    3
% 7.69/1.68  lits eq                                 3
% 7.69/1.68  fd_pure                                 0
% 7.69/1.68  fd_pseudo                               0
% 7.69/1.68  fd_cond                                 0
% 7.69/1.68  fd_pseudo_cond                          0
% 7.69/1.68  AC symbols                              0
% 7.69/1.68  
% 7.69/1.68  ------ Input Options Time Limit: Unbounded
% 7.69/1.68  
% 7.69/1.68  
% 7.69/1.68  ------ 
% 7.69/1.68  Current options:
% 7.69/1.68  ------ 
% 7.69/1.68  
% 7.69/1.68  
% 7.69/1.68  
% 7.69/1.68  
% 7.69/1.68  ------ Proving...
% 7.69/1.68  
% 7.69/1.68  
% 7.69/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.69/1.68  
% 7.69/1.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.69/1.68  
% 7.69/1.68  
%------------------------------------------------------------------------------