TSTP Solution File: NUM020-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM020-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 : Thu Aug 31 11:28:20 EDT 2023

% Result   : Unsatisfiable 2.23s 1.09s
% Output   : CNFRefutation 2.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   6 unt;   0 nHn;  11 RR)
%            Number of literals    :   24 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(X1,X2)
    | equalish(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).

cnf(c_53,negated_conjecture,
    ~ equalish(add(a,successor(n0)),successor(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',deny_addition_lemma) ).

cnf(c_55,plain,
    equalish(add(X0,n0),X0),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',adding_zero) ).

cnf(c_56,plain,
    equalish(add(X0,successor(X1)),successor(add(X0,X1))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',addition) ).

cnf(c_60,plain,
    ( ~ equalish(X0,X1)
    | equalish(successor(X0),successor(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',successor_substitution) ).

cnf(c_133,plain,
    ( ~ equalish(add(a,successor(n0)),X0)
    | ~ equalish(X0,successor(a))
    | equalish(add(a,successor(n0)),successor(a)) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_164,plain,
    ( ~ equalish(add(a,successor(n0)),successor(X0))
    | ~ equalish(successor(X0),successor(a))
    | equalish(add(a,successor(n0)),successor(a)) ),
    inference(instantiation,[status(thm)],[c_133]) ).

cnf(c_165,plain,
    ( ~ equalish(X0,a)
    | equalish(successor(X0),successor(a)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_223,plain,
    ( ~ equalish(add(a,n0),a)
    | equalish(successor(add(a,n0)),successor(a)) ),
    inference(instantiation,[status(thm)],[c_165]) ).

cnf(c_224,plain,
    equalish(add(a,n0),a),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_397,plain,
    ( ~ equalish(add(a,successor(n0)),successor(add(a,n0)))
    | ~ equalish(successor(add(a,n0)),successor(a))
    | equalish(add(a,successor(n0)),successor(a)) ),
    inference(instantiation,[status(thm)],[c_164]) ).

cnf(c_559,plain,
    equalish(add(a,successor(n0)),successor(add(a,n0))),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_560,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_559,c_397,c_224,c_223,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : NUM020-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.00/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.32  % Computer : n007.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Fri Aug 25 17:08:41 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.16/0.45  Running first-order theorem proving
% 0.16/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.23/1.09  % SZS status Started for theBenchmark.p
% 2.23/1.09  % SZS status Unsatisfiable for theBenchmark.p
% 2.23/1.09  
% 2.23/1.09  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.23/1.09  
% 2.23/1.09  ------  iProver source info
% 2.23/1.09  
% 2.23/1.09  git: date: 2023-05-31 18:12:56 +0000
% 2.23/1.09  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.23/1.09  git: non_committed_changes: false
% 2.23/1.09  git: last_make_outside_of_git: false
% 2.23/1.09  
% 2.23/1.09  ------ Parsing...successful
% 2.23/1.09  
% 2.23/1.09  
% 2.23/1.09  
% 2.23/1.09  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.23/1.09  
% 2.23/1.09  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.23/1.09  ------ Proving...
% 2.23/1.09  ------ Problem Properties 
% 2.23/1.09  
% 2.23/1.09  
% 2.23/1.09  clauses                                 12
% 2.23/1.09  conjectures                             2
% 2.23/1.09  EPR                                     3
% 2.23/1.09  Horn                                    12
% 2.23/1.09  unary                                   8
% 2.23/1.09  binary                                  3
% 2.23/1.09  lits                                    17
% 2.23/1.09  lits eq                                 0
% 2.23/1.09  fd_pure                                 0
% 2.23/1.09  fd_pseudo                               0
% 2.23/1.09  fd_cond                                 0
% 2.23/1.09  fd_pseudo_cond                          0
% 2.23/1.09  AC symbols                              0
% 2.23/1.09  
% 2.23/1.09  ------ Schedule dynamic 5 is on 
% 2.23/1.09  
% 2.23/1.09  ------ no equalities: superposition off 
% 2.23/1.09  
% 2.23/1.09  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.23/1.09  
% 2.23/1.09  
% 2.23/1.09  ------ 
% 2.23/1.09  Current options:
% 2.23/1.09  ------ 
% 2.23/1.09  
% 2.23/1.09  
% 2.23/1.09  
% 2.23/1.09  
% 2.23/1.09  ------ Proving...
% 2.23/1.09  
% 2.23/1.09  
% 2.23/1.09  % SZS status Unsatisfiable for theBenchmark.p
% 2.23/1.09  
% 2.23/1.09  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.23/1.09  
% 2.23/1.09  
%------------------------------------------------------------------------------