TSTP Solution File: COL075-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL075-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n013.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 02:09:48 EDT 2024

% Result   : Unsatisfiable 34.70s 5.73s
% Output   : CNFRefutation 34.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   3 RR)
%            Number of literals    :    8 (   7 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    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    apply(apply(k,X0),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition) ).

cnf(c_54,plain,
    apply(apply(X0,apply(k,X1)),apply(X2,X1)) = apply(apply(apply(abstraction,X0),X2),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstraction) ).

cnf(c_59,negated_conjecture,
    apply(apply(X0,b(X0)),c(X0)) != apply(b(X0),b(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_diagonal_combinator) ).

cnf(c_108,negated_conjecture,
    apply(apply(X0,b(X0)),c(X0)) != apply(b(X0),b(X0)),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_238,plain,
    apply(apply(apply(abstraction,apply(k,X0)),X1),X2) = apply(X0,apply(X1,X2)),
    inference(superposition,[status(thm)],[c_49,c_54]) ).

cnf(c_4464,plain,
    apply(apply(apply(apply(abstraction,abstraction),X0),X1),X2) = apply(X1,apply(apply(X0,X1),X2)),
    inference(superposition,[status(thm)],[c_54,c_238]) ).

cnf(c_105324,plain,
    apply(apply(apply(apply(abstraction,abstraction),k),X0),X1) = apply(X0,X0),
    inference(superposition,[status(thm)],[c_49,c_4464]) ).

cnf(c_107404,plain,
    $false,
    inference(superposition,[status(thm)],[c_105324,c_108]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL075-1 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n013.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 21:22:19 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 34.70/5.73  % SZS status Started for theBenchmark.p
% 34.70/5.73  % SZS status Unsatisfiable for theBenchmark.p
% 34.70/5.73  
% 34.70/5.73  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 34.70/5.73  
% 34.70/5.73  ------  iProver source info
% 34.70/5.73  
% 34.70/5.73  git: date: 2024-05-02 19:28:25 +0000
% 34.70/5.73  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 34.70/5.73  git: non_committed_changes: false
% 34.70/5.73  
% 34.70/5.73  ------ Parsing...successful
% 34.70/5.73  
% 34.70/5.73  
% 34.70/5.73  
% 34.70/5.73  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 34.70/5.73  
% 34.70/5.73  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 34.70/5.73  
% 34.70/5.73  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 34.70/5.73  ------ Proving...
% 34.70/5.73  ------ Problem Properties 
% 34.70/5.73  
% 34.70/5.73  
% 34.70/5.73  clauses                                 11
% 34.70/5.73  conjectures                             1
% 34.70/5.73  EPR                                     1
% 34.70/5.73  Horn                                    10
% 34.70/5.73  unary                                   9
% 34.70/5.73  binary                                  2
% 34.70/5.73  lits                                    13
% 34.70/5.73  lits eq                                 13
% 34.70/5.73  fd_pure                                 0
% 34.70/5.73  fd_pseudo                               0
% 34.70/5.73  fd_cond                                 0
% 34.70/5.73  fd_pseudo_cond                          2
% 34.70/5.73  AC symbols                              0
% 34.70/5.73  
% 34.70/5.73  ------ Schedule dynamic 5 is on 
% 34.70/5.73  
% 34.70/5.73  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 34.70/5.73  
% 34.70/5.73  
% 34.70/5.73  ------ 
% 34.70/5.73  Current options:
% 34.70/5.73  ------ 
% 34.70/5.73  
% 34.70/5.73  
% 34.70/5.73  
% 34.70/5.73  
% 34.70/5.73  ------ Proving...
% 34.70/5.73  
% 34.70/5.73  
% 34.70/5.73  % SZS status Unsatisfiable for theBenchmark.p
% 34.70/5.73  
% 34.70/5.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 34.70/5.73  
% 34.70/5.73  
%------------------------------------------------------------------------------