TSTP Solution File: RNG040-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : RNG040-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Thu Aug 31 13:54:51 EDT 2023

% Result   : Unsatisfiable 2.30s 1.18s
% Output   : CNFRefutation 2.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   22 (  18 unt;   0 nHn;  20 RR)
%            Number of literals    :   32 (  19 equ;  12 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   25 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_53,plain,
    ( ~ product(X0,X1,X2)
    | product(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_symmetry) ).

cnf(c_54,negated_conjecture,
    sum(b,c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_c) ).

cnf(c_55,negated_conjecture,
    product(d,a,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_plus_a) ).

cnf(c_56,negated_conjecture,
    product(b,a,l),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_a) ).

cnf(c_57,negated_conjecture,
    product(c,a,n),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_plus_a) ).

cnf(c_58,negated_conjecture,
    ~ sum(l,n,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).

cnf(c_71,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X0,X3,X4)
    | ~ sum(X1,X3,X5)
    | ~ sum(X2,X4,X6)
    | product(X0,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity2) ).

cnf(c_91,plain,
    ( multiply(X0,X1) != X2
    | multiply(X1,X0) = X2 ),
    inference(well_definedness,[status(thm)],[c_53]) ).

cnf(c_93,plain,
    add(b,c) = d,
    inference(well_definedness,[status(thm)],[c_54]) ).

cnf(c_94,plain,
    multiply(d,a) = additive_identity,
    inference(well_definedness,[status(thm)],[c_55]) ).

cnf(c_95,plain,
    multiply(b,a) = l,
    inference(well_definedness,[status(thm)],[c_56]) ).

cnf(c_96,plain,
    multiply(c,a) = n,
    inference(well_definedness,[status(thm)],[c_57]) ).

cnf(c_97,plain,
    add(l,n) != additive_identity,
    inference(well_definedness,[status(thm)],[c_58]) ).

cnf(c_116,plain,
    ( multiply(X0,X1) != X2
    | multiply(X0,X3) != X4
    | add(X1,X3) != X5
    | add(X2,X4) != X6
    | multiply(X0,X5) = X6 ),
    inference(well_definedness,[status(thm)],[c_71]) ).

cnf(c_271,plain,
    multiply(X0,X1) = multiply(X1,X0),
    inference(unflattening,[status(thm)],[c_91]) ).

cnf(c_273,plain,
    multiply(a,b) = l,
    inference(demodulation,[status(thm)],[c_95,c_271]) ).

cnf(c_274,plain,
    multiply(a,c) = n,
    inference(demodulation,[status(thm)],[c_96,c_271]) ).

cnf(c_275,plain,
    multiply(a,d) = additive_identity,
    inference(demodulation,[status(thm)],[c_94,c_271]) ).

cnf(c_284,plain,
    add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
    inference(unflattening,[status(thm)],[c_116]) ).

cnf(c_437,plain,
    multiply(a,add(b,c)) = additive_identity,
    inference(light_normalisation,[status(thm)],[c_275,c_93]) ).

cnf(c_438,plain,
    add(l,n) = additive_identity,
    inference(demodulation,[status(thm)],[c_437,c_273,c_274,c_284]) ).

cnf(c_439,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_438,c_97]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG040-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.17/0.34  % Computer : n016.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Sun Aug 27 02:45:58 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.30/1.18  % SZS status Started for theBenchmark.p
% 2.30/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 2.30/1.18  
% 2.30/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.30/1.18  
% 2.30/1.18  ------  iProver source info
% 2.30/1.18  
% 2.30/1.18  git: date: 2023-05-31 18:12:56 +0000
% 2.30/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.30/1.18  git: non_committed_changes: false
% 2.30/1.18  git: last_make_outside_of_git: false
% 2.30/1.18  
% 2.30/1.18  ------ Parsing...successful
% 2.30/1.18  
% 2.30/1.18  
% 2.30/1.18  
% 2.30/1.18  ------ Preprocessing... sup_sim: 21  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.30/1.18  
% 2.30/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.30/1.18  
% 2.30/1.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.30/1.18  ------ Proving...
% 2.30/1.18  ------ Problem Properties 
% 2.30/1.18  
% 2.30/1.18  
% 2.30/1.18  clauses                                 15
% 2.30/1.18  conjectures                             0
% 2.30/1.18  EPR                                     0
% 2.30/1.18  Horn                                    14
% 2.30/1.18  unary                                   14
% 2.30/1.18  binary                                  1
% 2.30/1.18  lits                                    16
% 2.30/1.18  lits eq                                 16
% 2.30/1.18  fd_pure                                 0
% 2.30/1.18  fd_pseudo                               0
% 2.30/1.18  fd_cond                                 1
% 2.30/1.18  fd_pseudo_cond                          0
% 2.30/1.18  AC symbols                              2
% 2.30/1.18  
% 2.30/1.18  ------ Schedule dynamic 5 is on 
% 2.30/1.18  
% 2.30/1.18  ------ no conjectures: strip conj schedule 
% 2.30/1.18  
% 2.30/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.30/1.18  
% 2.30/1.18  
% 2.30/1.18  ------ 
% 2.30/1.18  Current options:
% 2.30/1.18  ------ 
% 2.30/1.18  
% 2.30/1.18  
% 2.30/1.18  
% 2.30/1.18  
% 2.30/1.18  ------ Proving...
% 2.30/1.18  
% 2.30/1.18  
% 2.30/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 2.30/1.18  
% 2.30/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.30/1.18  
% 2.30/1.18  
%------------------------------------------------------------------------------