TSTP Solution File: FLD016-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : FLD016-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 May  3 02:15:09 EDT 2024

% Result   : Unsatisfiable 4.25s 1.17s
% Output   : CNFRefutation 4.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   19 (   6 unt;   0 nHn;  19 RR)
%            Number of literals    :   50 (   0 equ;  32 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; 0-1 aty)
%            Number of variables   :   27 (   0 sgn)

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

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

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

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

cnf(c_55,negated_conjecture,
    ~ sum(additive_identity,u,v),
    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_59,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_260,plain,
    ( ~ sum(X0,X1,v)
    | ~ sum(X0,X2,additive_identity)
    | ~ sum(X2,u,X1)
    | sum(additive_identity,u,v) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_269,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X1,X3,X4)
    | ~ sum(X2,X3,v)
    | sum(X0,X4,v) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_299,plain,
    ( ~ defined(v)
    | sum(additive_identity,v,v) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_336,plain,
    ( ~ sum(X0,X1,additive_identity)
    | ~ sum(X1,v,X2)
    | ~ sum(additive_identity,v,v)
    | sum(X0,X2,v) ),
    inference(instantiation,[status(thm)],[c_269]) ).

cnf(c_539,plain,
    ( ~ sum(X0,a,additive_identity)
    | ~ sum(a,v,b)
    | ~ sum(additive_identity,v,v)
    | sum(X0,b,v) ),
    inference(instantiation,[status(thm)],[c_336]) ).

cnf(c_778,plain,
    ( ~ sum(additive_inverse(a),a,additive_identity)
    | ~ sum(a,v,b)
    | ~ sum(additive_identity,v,v)
    | sum(additive_inverse(a),b,v) ),
    inference(instantiation,[status(thm)],[c_539]) ).

cnf(c_1283,plain,
    ( ~ sum(X0,a,additive_identity)
    | ~ sum(X0,b,v)
    | ~ sum(a,u,b)
    | sum(additive_identity,u,v) ),
    inference(instantiation,[status(thm)],[c_260]) ).

cnf(c_1508,plain,
    ( ~ defined(a)
    | sum(additive_inverse(a),a,additive_identity) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_3207,plain,
    ( ~ sum(additive_inverse(a),a,additive_identity)
    | ~ sum(additive_inverse(a),b,v)
    | ~ sum(a,u,b)
    | sum(additive_identity,u,v) ),
    inference(instantiation,[status(thm)],[c_1283]) ).

cnf(c_3208,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_3207,c_1508,c_778,c_299,c_55,c_53,c_54,c_49,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : FLD016-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May  2 22:04:51 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.25/1.17  % SZS status Started for theBenchmark.p
% 4.25/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 4.25/1.17  
% 4.25/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.25/1.17  
% 4.25/1.17  ------  iProver source info
% 4.25/1.17  
% 4.25/1.17  git: date: 2024-05-02 19:28:25 +0000
% 4.25/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.25/1.17  git: non_committed_changes: false
% 4.25/1.17  
% 4.25/1.17  ------ Parsing...successful
% 4.25/1.17  
% 4.25/1.17  
% 4.25/1.17  
% 4.25/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.25/1.17  
% 4.25/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.25/1.17  ------ Proving...
% 4.25/1.17  ------ Problem Properties 
% 4.25/1.17  
% 4.25/1.17  
% 4.25/1.17  clauses                                 33
% 4.25/1.17  conjectures                             3
% 4.25/1.17  EPR                                     25
% 4.25/1.17  Horn                                    30
% 4.25/1.17  unary                                   10
% 4.25/1.17  binary                                  6
% 4.25/1.17  lits                                    84
% 4.25/1.17  lits eq                                 0
% 4.25/1.17  fd_pure                                 0
% 4.25/1.17  fd_pseudo                               0
% 4.25/1.17  fd_cond                                 0
% 4.25/1.17  fd_pseudo_cond                          0
% 4.25/1.17  AC symbols                              0
% 4.25/1.17  
% 4.25/1.17  ------ Input Options Time Limit: Unbounded
% 4.25/1.17  
% 4.25/1.17  
% 4.25/1.17  ------ 
% 4.25/1.17  Current options:
% 4.25/1.17  ------ 
% 4.25/1.17  
% 4.25/1.17  
% 4.25/1.17  
% 4.25/1.17  
% 4.25/1.17  ------ Proving...
% 4.25/1.17  
% 4.25/1.17  
% 4.25/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 4.25/1.17  
% 4.25/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.25/1.17  
% 4.25/1.17  
%------------------------------------------------------------------------------