TSTP Solution File: FLD013-4 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD013-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 : Wed Aug 30 22:32:52 EDT 2023

% Result   : Unsatisfiable 3.08s 1.16s
% Output   : CNFRefutation 3.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   19 (   8 unt;   0 nHn;  19 RR)
%            Number of literals    :   41 (   0 equ;  23 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_53,plain,
    defined(u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).

cnf(c_54,negated_conjecture,
    sum(additive_identity,a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).

cnf(c_55,negated_conjecture,
    sum(additive_identity,c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_7) ).

cnf(c_56,negated_conjecture,
    sum(a,c,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_8) ).

cnf(c_57,negated_conjecture,
    ~ sum(d,b,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_9) ).

cnf(c_59,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X0,X3,X4)
    | ~ sum(X3,X5,X1)
    | sum(X4,X5,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).

cnf(c_60,plain,
    ( ~ defined(X0)
    | sum(additive_identity,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).

cnf(c_62,plain,
    ( ~ sum(X0,X1,X2)
    | sum(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).

cnf(c_272,plain,
    ( ~ sum(X0,X1,u)
    | ~ sum(X0,X2,d)
    | ~ sum(X2,b,X1)
    | sum(d,b,u) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_313,plain,
    ( ~ defined(u)
    | sum(additive_identity,u,u) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_318,plain,
    ( ~ sum(X0,b,X1)
    | ~ sum(additive_identity,X0,d)
    | ~ sum(additive_identity,X1,u)
    | sum(d,b,u) ),
    inference(instantiation,[status(thm)],[c_272]) ).

cnf(c_504,plain,
    ( ~ sum(c,b,X0)
    | ~ sum(additive_identity,X0,u)
    | ~ sum(additive_identity,c,d)
    | sum(d,b,u) ),
    inference(instantiation,[status(thm)],[c_318]) ).

cnf(c_2453,plain,
    ( ~ sum(a,X0,X1)
    | ~ sum(additive_identity,X1,X2)
    | sum(b,X0,X2) ),
    inference(superposition,[status(thm)],[c_54,c_59]) ).

cnf(c_3249,plain,
    ( ~ sum(c,b,u)
    | ~ sum(additive_identity,c,d)
    | ~ sum(additive_identity,u,u)
    | sum(d,b,u) ),
    inference(instantiation,[status(thm)],[c_504]) ).

cnf(c_7636,plain,
    ( ~ sum(additive_identity,u,X0)
    | sum(b,c,X0) ),
    inference(superposition,[status(thm)],[c_56,c_2453]) ).

cnf(c_7814,plain,
    ( ~ defined(u)
    | sum(b,c,u) ),
    inference(superposition,[status(thm)],[c_60,c_7636]) ).

cnf(c_7819,plain,
    sum(b,c,u),
    inference(forward_subsumption_resolution,[status(thm)],[c_7814,c_53]) ).

cnf(c_9120,plain,
    sum(c,b,u),
    inference(superposition,[status(thm)],[c_7819,c_62]) ).

cnf(c_9146,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9120,c_3249,c_313,c_57,c_55,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : FLD013-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.16/0.35  % Computer : n016.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Mon Aug 28 00:29:29 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.08/1.16  % SZS status Started for theBenchmark.p
% 3.08/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.08/1.16  
% 3.08/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.08/1.16  
% 3.08/1.16  ------  iProver source info
% 3.08/1.16  
% 3.08/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.08/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.08/1.16  git: non_committed_changes: false
% 3.08/1.16  git: last_make_outside_of_git: false
% 3.08/1.16  
% 3.08/1.16  ------ Parsing...successful
% 3.08/1.16  
% 3.08/1.16  
% 3.08/1.16  
% 3.08/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.08/1.16  
% 3.08/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.08/1.16  ------ Proving...
% 3.08/1.16  ------ Problem Properties 
% 3.08/1.16  
% 3.08/1.16  
% 3.08/1.16  clauses                                 35
% 3.08/1.16  conjectures                             4
% 3.08/1.16  EPR                                     27
% 3.08/1.16  Horn                                    32
% 3.08/1.16  unary                                   12
% 3.08/1.16  binary                                  6
% 3.08/1.16  lits                                    86
% 3.08/1.16  lits eq                                 0
% 3.08/1.16  fd_pure                                 0
% 3.08/1.16  fd_pseudo                               0
% 3.08/1.16  fd_cond                                 0
% 3.08/1.16  fd_pseudo_cond                          0
% 3.08/1.16  AC symbols                              0
% 3.08/1.16  
% 3.08/1.16  ------ Schedule dynamic 5 is on 
% 3.08/1.16  
% 3.08/1.16  ------ no equalities: superposition off 
% 3.08/1.16  
% 3.08/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.08/1.16  
% 3.08/1.16  
% 3.08/1.16  ------ 
% 3.08/1.16  Current options:
% 3.08/1.16  ------ 
% 3.08/1.16  
% 3.08/1.16  
% 3.08/1.16  
% 3.08/1.16  
% 3.08/1.16  ------ Proving...
% 3.08/1.16  
% 3.08/1.16  
% 3.08/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.08/1.16  
% 3.08/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.08/1.16  
% 3.08/1.16  
%------------------------------------------------------------------------------