TSTP Solution File: FLD013-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD013-3 : 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 3.82s 1.16s
% Output   : CNFRefutation 3.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   27 (   8 unt;   0 nHn;  27 RR)
%            Number of literals    :   66 (   0 equ;  40 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,plain,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

cnf(c_51,plain,
    defined(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).

cnf(c_52,plain,
    defined(d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_defined) ).

cnf(c_53,negated_conjecture,
    sum(additive_identity,a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_5) ).

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

cnf(c_55,negated_conjecture,
    ~ sum(a,c,add(d,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_7) ).

cnf(c_56,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X1,X3,X4)
    | ~ sum(X2,X3,X5)
    | sum(X0,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).

cnf(c_57,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_58,plain,
    ( ~ defined(X0)
    | sum(additive_identity,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).

cnf(c_60,plain,
    ( ~ sum(X0,X1,X2)
    | sum(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).

cnf(c_69,plain,
    defined(additive_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).

cnf(c_74,plain,
    ( ~ defined(X0)
    | ~ defined(X1)
    | sum(X0,X1,add(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).

cnf(c_84,plain,
    ( ~ defined(additive_identity)
    | sum(additive_identity,additive_identity,additive_identity) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_260,plain,
    ( ~ sum(c,a,add(d,b))
    | sum(a,c,add(d,b)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_282,plain,
    ( ~ sum(X0,X1,add(d,b))
    | ~ sum(X0,X2,c)
    | ~ sum(X2,a,X1)
    | sum(c,a,add(d,b)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_290,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X1,X3,X4)
    | ~ sum(X2,X3,c)
    | sum(X0,X4,c) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_292,plain,
    ( ~ defined(c)
    | sum(additive_identity,c,c) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_294,plain,
    ( ~ sum(X0,X1,c)
    | sum(X1,X0,c) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_629,plain,
    ( ~ sum(X0,X1,additive_identity)
    | ~ sum(X1,c,X2)
    | ~ sum(additive_identity,c,c)
    | sum(X0,X2,c) ),
    inference(instantiation,[status(thm)],[c_290]) ).

cnf(c_3438,plain,
    ( ~ sum(X0,additive_identity,additive_identity)
    | ~ sum(additive_identity,c,c)
    | ~ sum(additive_identity,c,d)
    | sum(X0,d,c) ),
    inference(instantiation,[status(thm)],[c_629]) ).

cnf(c_3439,plain,
    ( ~ sum(additive_identity,c,c)
    | ~ sum(additive_identity,c,d)
    | ~ sum(additive_identity,additive_identity,additive_identity)
    | sum(additive_identity,d,c) ),
    inference(instantiation,[status(thm)],[c_3438]) ).

cnf(c_4037,plain,
    ( ~ sum(X0,b,add(d,b))
    | ~ sum(X0,additive_identity,c)
    | ~ sum(additive_identity,a,b)
    | sum(c,a,add(d,b)) ),
    inference(instantiation,[status(thm)],[c_282]) ).

cnf(c_10906,plain,
    ( ~ sum(X0,d,c)
    | sum(d,X0,c) ),
    inference(instantiation,[status(thm)],[c_294]) ).

cnf(c_10907,plain,
    ( ~ sum(additive_identity,d,c)
    | sum(d,additive_identity,c) ),
    inference(instantiation,[status(thm)],[c_10906]) ).

cnf(c_13582,plain,
    ( ~ defined(b)
    | ~ defined(d)
    | sum(d,b,add(d,b)) ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_23872,plain,
    ( ~ sum(d,b,add(d,b))
    | ~ sum(d,additive_identity,c)
    | ~ sum(additive_identity,a,b)
    | sum(c,a,add(d,b)) ),
    inference(instantiation,[status(thm)],[c_4037]) ).

cnf(c_23873,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_23872,c_13582,c_10907,c_3439,c_292,c_260,c_84,c_55,c_53,c_54,c_50,c_51,c_52,c_69]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : FLD013-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n016.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 : Mon Aug 28 01:21:30 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.82/1.16  % SZS status Started for theBenchmark.p
% 3.82/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.82/1.16  
% 3.82/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.82/1.16  
% 3.82/1.16  ------  iProver source info
% 3.82/1.16  
% 3.82/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.82/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.82/1.16  git: non_committed_changes: false
% 3.82/1.16  git: last_make_outside_of_git: false
% 3.82/1.16  
% 3.82/1.16  ------ Parsing...successful
% 3.82/1.16  
% 3.82/1.16  
% 3.82/1.16  
% 3.82/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.82/1.16  
% 3.82/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.82/1.16  ------ Proving...
% 3.82/1.16  ------ Problem Properties 
% 3.82/1.16  
% 3.82/1.16  
% 3.82/1.16  clauses                                 33
% 3.82/1.16  conjectures                             3
% 3.82/1.16  EPR                                     24
% 3.82/1.16  Horn                                    30
% 3.82/1.16  unary                                   10
% 3.82/1.16  binary                                  6
% 3.82/1.16  lits                                    84
% 3.82/1.16  lits eq                                 0
% 3.82/1.16  fd_pure                                 0
% 3.82/1.16  fd_pseudo                               0
% 3.82/1.16  fd_cond                                 0
% 3.82/1.16  fd_pseudo_cond                          0
% 3.82/1.16  AC symbols                              0
% 3.82/1.16  
% 3.82/1.16  ------ Schedule dynamic 5 is on 
% 3.82/1.16  
% 3.82/1.16  ------ no equalities: superposition off 
% 3.82/1.16  
% 3.82/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.82/1.16  
% 3.82/1.16  
% 3.82/1.16  ------ 
% 3.82/1.16  Current options:
% 3.82/1.16  ------ 
% 3.82/1.16  
% 3.82/1.16  
% 3.82/1.16  
% 3.82/1.16  
% 3.82/1.16  ------ Proving...
% 3.82/1.16  
% 3.82/1.16  
% 3.82/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.82/1.16  
% 3.82/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.82/1.16  
% 3.82/1.16  
%------------------------------------------------------------------------------