TSTP Solution File: FLD066-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD066-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 22:33:21 EDT 2023

% Result   : Unsatisfiable 9.76s 2.15s
% Output   : CNFRefutation 9.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   30 (  10 unt;   0 nHn;  30 RR)
%            Number of literals    :   66 (   0 equ;  39 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   41 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

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_54,negated_conjecture,
    sum(a,c,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).

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

cnf(c_56,negated_conjecture,
    less_or_equal(u,v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_8) ).

cnf(c_57,negated_conjecture,
    ~ less_or_equal(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_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_61,plain,
    ( ~ defined(X0)
    | sum(additive_inverse(X0),X0,additive_identity) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_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_81,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X3,X1,X4)
    | ~ less_or_equal(X0,X3)
    | less_or_equal(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).

cnf(c_271,plain,
    ( ~ sum(X0,X1,a)
    | ~ sum(X2,X1,b)
    | ~ less_or_equal(X0,X2)
    | less_or_equal(a,b) ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_582,plain,
    ( ~ defined(X0)
    | sum(X0,additive_identity,X0) ),
    inference(superposition,[status(thm)],[c_60,c_62]) ).

cnf(c_595,plain,
    ( ~ defined(X0)
    | sum(X0,additive_identity,X0) ),
    inference(superposition,[status(thm)],[c_60,c_62]) ).

cnf(c_596,plain,
    ( ~ defined(X0)
    | sum(X0,additive_inverse(X0),additive_identity) ),
    inference(superposition,[status(thm)],[c_61,c_62]) ).

cnf(c_2836,plain,
    ( ~ sum(a,X0,X1)
    | ~ sum(c,X2,X0)
    | sum(u,X2,X1) ),
    inference(superposition,[status(thm)],[c_54,c_59]) ).

cnf(c_2837,plain,
    ( ~ sum(b,X0,X1)
    | ~ sum(c,X2,X0)
    | sum(v,X2,X1) ),
    inference(superposition,[status(thm)],[c_55,c_59]) ).

cnf(c_2913,plain,
    ( ~ sum(a,X0,X1)
    | ~ sum(c,X2,X0)
    | sum(u,X2,X1) ),
    inference(superposition,[status(thm)],[c_54,c_59]) ).

cnf(c_4914,plain,
    ( ~ sum(c,X0,additive_identity)
    | ~ defined(a)
    | sum(u,X0,a) ),
    inference(superposition,[status(thm)],[c_582,c_2836]) ).

cnf(c_4920,plain,
    ( ~ sum(c,X0,additive_identity)
    | sum(u,X0,a) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4914,c_49]) ).

cnf(c_4958,plain,
    ( ~ sum(c,X0,additive_identity)
    | ~ defined(a)
    | sum(u,X0,a) ),
    inference(superposition,[status(thm)],[c_595,c_2913]) ).

cnf(c_4964,plain,
    ( ~ sum(c,X0,additive_identity)
    | sum(u,X0,a) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4958,c_49]) ).

cnf(c_8457,plain,
    ( ~ sum(c,X0,additive_identity)
    | ~ defined(b)
    | sum(v,X0,b) ),
    inference(superposition,[status(thm)],[c_582,c_2837]) ).

cnf(c_8463,plain,
    ( ~ sum(c,X0,additive_identity)
    | sum(v,X0,b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8457,c_50]) ).

cnf(c_50796,plain,
    ( ~ sum(X0,X1,b)
    | ~ sum(u,X1,a)
    | ~ less_or_equal(u,X0)
    | less_or_equal(a,b) ),
    inference(instantiation,[status(thm)],[c_271]) ).

cnf(c_61680,plain,
    ( ~ sum(u,X0,a)
    | ~ sum(v,X0,b)
    | ~ less_or_equal(u,v)
    | less_or_equal(a,b) ),
    inference(instantiation,[status(thm)],[c_50796]) ).

cnf(c_64197,plain,
    ~ sum(c,X0,additive_identity),
    inference(global_subsumption_just,[status(thm)],[c_4964,c_56,c_57,c_4920,c_8463,c_61680]) ).

cnf(c_64202,plain,
    ~ defined(c),
    inference(superposition,[status(thm)],[c_596,c_64197]) ).

cnf(c_64204,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_64202,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : FLD066-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 00:30:08 EDT 2023
% 0.14/0.34  % 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 --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.76/2.15  % SZS status Started for theBenchmark.p
% 9.76/2.15  % SZS status Unsatisfiable for theBenchmark.p
% 9.76/2.15  
% 9.76/2.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.76/2.15  
% 9.76/2.15  ------  iProver source info
% 9.76/2.15  
% 9.76/2.15  git: date: 2023-05-31 18:12:56 +0000
% 9.76/2.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.76/2.15  git: non_committed_changes: false
% 9.76/2.15  git: last_make_outside_of_git: false
% 9.76/2.15  
% 9.76/2.15  ------ Parsing...successful
% 9.76/2.15  
% 9.76/2.15  
% 9.76/2.15  
% 9.76/2.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 9.76/2.15  
% 9.76/2.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.76/2.15  ------ Proving...
% 9.76/2.15  ------ Problem Properties 
% 9.76/2.15  
% 9.76/2.15  
% 9.76/2.15  clauses                                 35
% 9.76/2.15  conjectures                             4
% 9.76/2.15  EPR                                     27
% 9.76/2.15  Horn                                    32
% 9.76/2.15  unary                                   12
% 9.76/2.15  binary                                  6
% 9.76/2.15  lits                                    86
% 9.76/2.15  lits eq                                 0
% 9.76/2.15  fd_pure                                 0
% 9.76/2.15  fd_pseudo                               0
% 9.76/2.15  fd_cond                                 0
% 9.76/2.15  fd_pseudo_cond                          0
% 9.76/2.15  AC symbols                              0
% 9.76/2.15  
% 9.76/2.15  ------ Schedule dynamic 5 is on 
% 9.76/2.15  
% 9.76/2.15  ------ no equalities: superposition off 
% 9.76/2.15  
% 9.76/2.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.76/2.15  
% 9.76/2.15  
% 9.76/2.15  ------ 
% 9.76/2.15  Current options:
% 9.76/2.15  ------ 
% 9.76/2.15  
% 9.76/2.15  
% 9.76/2.15  
% 9.76/2.15  
% 9.76/2.15  ------ Proving...
% 9.76/2.15  
% 9.76/2.15  
% 9.76/2.15  % SZS status Unsatisfiable for theBenchmark.p
% 9.76/2.15  
% 9.76/2.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.76/2.15  
% 9.76/2.15  
%------------------------------------------------------------------------------