TSTP Solution File: RNG037-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG037-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 02:57:21 EDT 2024

% Result   : Unsatisfiable 4.30s 1.22s
% Output   : CNFRefutation 4.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (   8 unt;   0 nHn;  13 RR)
%            Number of literals    :   37 (   0 equ;  23 neg)
%            Maximal clause size   :    5 (   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   :   19 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_61,plain,
    sum(X0,additive_inverse(X0),additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).

cnf(c_64,plain,
    ( ~ sum(X0,X1,X2)
    | sum(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).

cnf(c_67,plain,
    ( ~ sum(X0,X1,X2)
    | ~ product(X3,X0,X4)
    | ~ product(X3,X1,X5)
    | ~ product(X3,X2,X6)
    | sum(X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).

cnf(c_74,plain,
    product(X0,additive_identity,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity2) ).

cnf(c_75,plain,
    product(a,b,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).

cnf(c_76,plain,
    product(a,additive_inverse(b),c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_times_b) ).

cnf(c_77,negated_conjecture,
    ~ sum(c,d,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_is_additive_identity) ).

cnf(c_243,plain,
    ( ~ sum(d,c,additive_identity)
    | sum(c,d,additive_identity) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_267,plain,
    ( ~ sum(X0,X1,X2)
    | ~ product(X3,X0,d)
    | ~ product(X3,X1,c)
    | ~ product(X3,X2,additive_identity)
    | sum(d,c,additive_identity) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_646,plain,
    ( ~ sum(b,X0,X1)
    | ~ product(a,X0,c)
    | ~ product(a,X1,additive_identity)
    | ~ product(a,b,d)
    | sum(d,c,additive_identity) ),
    inference(instantiation,[status(thm)],[c_267]) ).

cnf(c_1118,plain,
    product(a,additive_identity,additive_identity),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_1617,plain,
    ( ~ sum(b,additive_inverse(b),X0)
    | ~ product(a,additive_inverse(b),c)
    | ~ product(a,X0,additive_identity)
    | ~ product(a,b,d)
    | sum(d,c,additive_identity) ),
    inference(instantiation,[status(thm)],[c_646]) ).

cnf(c_1618,plain,
    ( ~ sum(b,additive_inverse(b),additive_identity)
    | ~ product(a,additive_inverse(b),c)
    | ~ product(a,additive_identity,additive_identity)
    | ~ product(a,b,d)
    | sum(d,c,additive_identity) ),
    inference(instantiation,[status(thm)],[c_1617]) ).

cnf(c_4218,plain,
    sum(b,additive_inverse(b),additive_identity),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_4219,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4218,c_1618,c_1118,c_243,c_76,c_77,c_75]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem  : RNG037-2 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n019.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
% 0.14/0.36  % DateTime : Thu May  2 21:23:29 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.30/1.22  % SZS status Started for theBenchmark.p
% 4.30/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 4.30/1.22  
% 4.30/1.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.30/1.22  
% 4.30/1.22  ------  iProver source info
% 4.30/1.22  
% 4.30/1.22  git: date: 2024-05-02 19:28:25 +0000
% 4.30/1.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.30/1.22  git: non_committed_changes: false
% 4.30/1.22  
% 4.30/1.22  ------ Parsing...successful
% 4.30/1.22  
% 4.30/1.22  
% 4.30/1.22  
% 4.30/1.22  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.30/1.22  
% 4.30/1.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.30/1.22  ------ Proving...
% 4.30/1.22  ------ Problem Properties 
% 4.30/1.22  
% 4.30/1.22  
% 4.30/1.22  clauses                                 29
% 4.30/1.22  conjectures                             1
% 4.30/1.22  EPR                                     22
% 4.30/1.22  Horn                                    29
% 4.30/1.22  unary                                   9
% 4.30/1.22  binary                                  4
% 4.30/1.22  lits                                    77
% 4.30/1.22  lits eq                                 0
% 4.30/1.22  fd_pure                                 0
% 4.30/1.22  fd_pseudo                               0
% 4.30/1.22  fd_cond                                 0
% 4.30/1.22  fd_pseudo_cond                          0
% 4.30/1.22  AC symbols                              0
% 4.30/1.22  
% 4.30/1.22  ------ Schedule dynamic 5 is on 
% 4.30/1.22  
% 4.30/1.22  ------ no equalities: superposition off 
% 4.30/1.22  
% 4.30/1.22  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.30/1.22  
% 4.30/1.22  
% 4.30/1.22  ------ 
% 4.30/1.22  Current options:
% 4.30/1.22  ------ 
% 4.30/1.22  
% 4.30/1.22  
% 4.30/1.22  
% 4.30/1.22  
% 4.30/1.22  ------ Proving...
% 4.30/1.22  
% 4.30/1.22  
% 4.30/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 4.30/1.22  
% 4.30/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.30/1.22  
% 4.30/1.22  
%------------------------------------------------------------------------------