TSTP Solution File: SYN350-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN350-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 Sep  1 03:06:35 EDT 2023

% Result   : Unsatisfiable 1.61s 1.17s
% Output   : CNFRefutation 1.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   17 (   2 unt;   5 nHn;  16 RR)
%            Number of literals    :   38 (   0 equ;  18 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( ~ f(a,z(X0,X1))
    | f(z(X0,X1),a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(c_50,negated_conjecture,
    ( ~ f(z(X0,X1),a)
    | f(a,z(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

cnf(c_51,negated_conjecture,
    ( f(X0,z(X0,X1))
    | f(X1,z(X0,X1))
    | f(a,z(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

cnf(c_53,negated_conjecture,
    ( ~ f(X0,X1)
    | f(X1,z(X0,X1))
    | f(a,z(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

cnf(c_54,negated_conjecture,
    ( ~ f(X0,z(X1,X0))
    | ~ f(a,z(X1,X0))
    | ~ f(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

cnf(c_56,plain,
    ( ~ f(a,z(a,a))
    | f(z(a,a),a) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_58,plain,
    f(a,z(a,a)),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_60,plain,
    ( f(z(X0,X1),a)
    | ~ f(a,z(X0,X1)) ),
    inference(prop_impl_just,[status(thm)],[c_49]) ).

cnf(c_61,plain,
    ( ~ f(a,z(X0,X1))
    | f(z(X0,X1),a) ),
    inference(renaming,[status(thm)],[c_60]) ).

cnf(c_78,negated_conjecture,
    ( ~ f(X0,X1)
    | f(X1,z(X0,X1))
    | f(z(X0,X1),a) ),
    inference(bin_hyper_res,[status(thm)],[c_53,c_61]) ).

cnf(c_113,plain,
    ( ~ f(a,z(z(X0,X1),a))
    | ~ f(z(X0,X1),a) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_114,plain,
    ( ~ f(a,z(z(a,a),a))
    | ~ f(z(a,a),a) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_118,plain,
    ( ~ f(z(z(X0,X1),a),a)
    | f(a,z(z(X0,X1),a)) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_119,plain,
    ( ~ f(z(z(a,a),a),a)
    | f(a,z(z(a,a),a)) ),
    inference(instantiation,[status(thm)],[c_118]) ).

cnf(c_127,plain,
    ( ~ f(z(X0,X1),a)
    | f(z(z(X0,X1),a),a)
    | f(a,z(z(X0,X1),a)) ),
    inference(instantiation,[status(thm)],[c_78]) ).

cnf(c_130,plain,
    ( ~ f(z(a,a),a)
    | f(z(z(a,a),a),a)
    | f(a,z(z(a,a),a)) ),
    inference(instantiation,[status(thm)],[c_127]) ).

cnf(c_131,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_130,c_119,c_114,c_58,c_56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN350-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sat Aug 26 20:28:48 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.61/1.17  % SZS status Started for theBenchmark.p
% 1.61/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.61/1.17  
% 1.61/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.61/1.17  
% 1.61/1.17  ------  iProver source info
% 1.61/1.17  
% 1.61/1.17  git: date: 2023-05-31 18:12:56 +0000
% 1.61/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.61/1.17  git: non_committed_changes: false
% 1.61/1.17  git: last_make_outside_of_git: false
% 1.61/1.17  
% 1.61/1.17  ------ Parsing...successful
% 1.61/1.17  
% 1.61/1.17  
% 1.61/1.17  
% 1.61/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.61/1.17  
% 1.61/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.61/1.17  ------ Proving...
% 1.61/1.17  ------ Problem Properties 
% 1.61/1.17  
% 1.61/1.17  
% 1.61/1.17  clauses                                 6
% 1.61/1.17  conjectures                             6
% 1.61/1.17  EPR                                     0
% 1.61/1.17  Horn                                    4
% 1.61/1.17  unary                                   0
% 1.61/1.17  binary                                  2
% 1.61/1.17  lits                                    16
% 1.61/1.17  lits eq                                 0
% 1.61/1.17  fd_pure                                 0
% 1.61/1.17  fd_pseudo                               0
% 1.61/1.17  fd_cond                                 0
% 1.61/1.17  fd_pseudo_cond                          0
% 1.61/1.17  AC symbols                              0
% 1.61/1.17  
% 1.61/1.17  ------ Schedule dynamic 5 is on 
% 1.61/1.17  
% 1.61/1.17  ------ no equalities: superposition off 
% 1.61/1.17  
% 1.61/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.61/1.17  
% 1.61/1.17  
% 1.61/1.17  ------ 
% 1.61/1.17  Current options:
% 1.61/1.17  ------ 
% 1.61/1.17  
% 1.61/1.17  
% 1.61/1.17  
% 1.61/1.17  
% 1.61/1.17  ------ Proving...
% 1.61/1.17  
% 1.61/1.17  
% 1.61/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.61/1.17  
% 1.61/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.61/1.17  
% 1.61/1.17  
%------------------------------------------------------------------------------