TSTP Solution File: RNG038-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG038-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 2.46s 1.14s
% Output   : CNFRefutation 2.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (   6 unt;   0 nHn;  11 RR)
%            Number of literals    :   26 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_72,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X0,X1,X3)
    | equalish(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).

cnf(c_73,plain,
    product(additive_identity,X0,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).

cnf(c_74,plain,
    product(X0,additive_identity,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity2) ).

cnf(c_75,plain,
    ( ~ equalish(X0,additive_identity)
    | product(X0,h(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',some_property) ).

cnf(c_77,negated_conjecture,
    ~ equalish(a,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_additive_identity) ).

cnf(c_79,plain,
    product(additive_identity,additive_identity,additive_identity),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_88,plain,
    ( ~ product(additive_identity,additive_identity,additive_identity)
    | equalish(additive_identity,additive_identity) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_254,plain,
    ( ~ product(X0,X1,additive_identity)
    | ~ product(X0,X1,a)
    | equalish(a,additive_identity) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_291,plain,
    ( ~ product(X0,h(X0,a),additive_identity)
    | ~ product(X0,h(X0,a),a)
    | equalish(a,additive_identity) ),
    inference(instantiation,[status(thm)],[c_254]) ).

cnf(c_292,plain,
    ( ~ equalish(X0,additive_identity)
    | product(X0,h(X0,a),a) ),
    inference(instantiation,[status(thm)],[c_75]) ).

cnf(c_293,plain,
    ( ~ product(additive_identity,h(additive_identity,a),additive_identity)
    | ~ product(additive_identity,h(additive_identity,a),a)
    | equalish(a,additive_identity) ),
    inference(instantiation,[status(thm)],[c_291]) ).

cnf(c_294,plain,
    ( ~ equalish(additive_identity,additive_identity)
    | product(additive_identity,h(additive_identity,a),a) ),
    inference(instantiation,[status(thm)],[c_292]) ).

cnf(c_367,plain,
    product(additive_identity,h(additive_identity,a),additive_identity),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_368,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_367,c_294,c_293,c_88,c_79,c_77]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG038-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 21:42:48 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  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
% 2.46/1.14  % SZS status Started for theBenchmark.p
% 2.46/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 2.46/1.14  
% 2.46/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.46/1.14  
% 2.46/1.14  ------  iProver source info
% 2.46/1.14  
% 2.46/1.14  git: date: 2024-05-02 19:28:25 +0000
% 2.46/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.46/1.14  git: non_committed_changes: false
% 2.46/1.14  
% 2.46/1.14  ------ Parsing...successful
% 2.46/1.14  
% 2.46/1.14  
% 2.46/1.14  
% 2.46/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.46/1.14  
% 2.46/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.46/1.14  ------ Proving...
% 2.46/1.14  ------ Problem Properties 
% 2.46/1.14  
% 2.46/1.14  
% 2.46/1.14  clauses                                 30
% 2.46/1.14  conjectures                             2
% 2.46/1.14  EPR                                     23
% 2.46/1.14  Horn                                    30
% 2.46/1.14  unary                                   9
% 2.46/1.14  binary                                  5
% 2.46/1.14  lits                                    79
% 2.46/1.14  lits eq                                 0
% 2.46/1.14  fd_pure                                 0
% 2.46/1.14  fd_pseudo                               0
% 2.46/1.14  fd_cond                                 0
% 2.46/1.14  fd_pseudo_cond                          0
% 2.46/1.14  AC symbols                              0
% 2.46/1.14  
% 2.46/1.14  ------ Schedule dynamic 5 is on 
% 2.46/1.14  
% 2.46/1.14  ------ no equalities: superposition off 
% 2.46/1.14  
% 2.46/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.46/1.14  
% 2.46/1.14  
% 2.46/1.14  ------ 
% 2.46/1.14  Current options:
% 2.46/1.14  ------ 
% 2.46/1.14  
% 2.46/1.14  
% 2.46/1.14  
% 2.46/1.14  
% 2.46/1.14  ------ Proving...
% 2.46/1.14  
% 2.46/1.14  
% 2.46/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 2.46/1.14  
% 2.46/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.46/1.14  
% 2.46/1.14  
%------------------------------------------------------------------------------