TSTP Solution File: RNG002-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 02:57:11 EDT 2024

% Result   : Unsatisfiable 3.51s 1.11s
% Output   : CNFRefutation 3.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   26 (  22 unt;   0 nHn;  14 RR)
%            Number of literals    :   34 (  23 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   36 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    sum(a,b,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_plus_b_is_d) ).

cnf(c_50,plain,
    sum(a,c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_plus_c_is_d) ).

cnf(c_51,negated_conjecture,
    b != c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_equals_c) ).

cnf(c_53,plain,
    sum(X0,additive_identity,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).

cnf(c_57,plain,
    sum(X0,additive_inverse(X0),additive_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',right_inverse) ).

cnf(c_59,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X0,X3,X4)
    | ~ sum(X1,X5,X3)
    | sum(X2,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_addition2) ).

cnf(c_60,plain,
    ( ~ sum(X0,X1,X2)
    | sum(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',commutativity_of_addition) ).

cnf(c_76,plain,
    add(a,b) = d,
    inference(well_definedness,[status(thm)],[c_49]) ).

cnf(c_77,plain,
    add(a,c) = d,
    inference(well_definedness,[status(thm)],[c_50]) ).

cnf(c_79,plain,
    add(X0,additive_identity) = X0,
    inference(well_definedness,[status(thm)],[c_53]) ).

cnf(c_83,plain,
    add(X0,additive_inverse(X0)) = additive_identity,
    inference(well_definedness,[status(thm)],[c_57]) ).

cnf(c_86,plain,
    ( add(X0,X1) != X2
    | add(X0,X3) != X4
    | add(X1,X5) != X3
    | add(X2,X5) = X4 ),
    inference(well_definedness,[status(thm)],[c_59]) ).

cnf(c_88,plain,
    ( add(X0,X1) != X2
    | add(X1,X0) = X2 ),
    inference(well_definedness,[status(thm)],[c_60]) ).

cnf(c_219,plain,
    add(X0,X1) = add(X1,X0),
    inference(unflattening,[status(thm)],[c_88]) ).

cnf(c_225,plain,
    add(add(X0,X1),X2) = add(X0,add(X1,X2)),
    inference(unflattening,[status(thm)],[c_86]) ).

cnf(c_289,negated_conjecture,
    b != c,
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_336,plain,
    add(a,b) = add(a,c),
    inference(light_normalisation,[status(thm)],[c_77,c_76]) ).

cnf(c_337,plain,
    add(additive_identity,X0) = X0,
    inference(superposition,[status(thm)],[c_79,c_219]) ).

cnf(c_350,plain,
    add(add(a,b),X0) = add(a,add(c,X0)),
    inference(superposition,[status(thm)],[c_336,c_225]) ).

cnf(c_353,plain,
    add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
    inference(superposition,[status(thm)],[c_83,c_225]) ).

cnf(c_356,plain,
    add(a,add(b,X0)) = add(a,add(c,X0)),
    inference(theory_normalisation,[status(thm)],[c_350,c_225,c_219]) ).

cnf(c_381,plain,
    add(X0,add(additive_inverse(X0),X1)) = X1,
    inference(demodulation,[status(thm)],[c_353,c_337]) ).

cnf(c_387,plain,
    add(X0,add(X1,additive_inverse(X0))) = X1,
    inference(superposition,[status(thm)],[c_219,c_381]) ).

cnf(c_532,plain,
    add(a,add(b,additive_inverse(a))) = c,
    inference(superposition,[status(thm)],[c_356,c_387]) ).

cnf(c_600,plain,
    b = c,
    inference(demodulation,[status(thm)],[c_532,c_387]) ).

cnf(c_601,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_600,c_289]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : RNG002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.31  % Computer : n004.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Thu May  2 21:14:03 EDT 2024
% 0.11/0.31  % CPUTime  : 
% 0.17/0.42  Running first-order theorem proving
% 0.17/0.42  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
% 3.51/1.11  % SZS status Started for theBenchmark.p
% 3.51/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 3.51/1.11  
% 3.51/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.51/1.11  
% 3.51/1.11  ------  iProver source info
% 3.51/1.11  
% 3.51/1.11  git: date: 2024-05-02 19:28:25 +0000
% 3.51/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.51/1.11  git: non_committed_changes: false
% 3.51/1.11  
% 3.51/1.11  ------ Parsing...successful
% 3.51/1.11  
% 3.51/1.11  
% 3.51/1.11  
% 3.51/1.11  ------ Preprocessing... sup_sim: 15  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 1  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 
% 3.51/1.11  
% 3.51/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.51/1.11  
% 3.51/1.11  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.51/1.11  ------ Proving...
% 3.51/1.11  ------ Problem Properties 
% 3.51/1.11  
% 3.51/1.11  
% 3.51/1.11  clauses                                 10
% 3.51/1.11  conjectures                             1
% 3.51/1.11  EPR                                     1
% 3.51/1.11  Horn                                    10
% 3.51/1.11  unary                                   10
% 3.51/1.11  binary                                  0
% 3.51/1.11  lits                                    10
% 3.51/1.11  lits eq                                 10
% 3.51/1.11  fd_pure                                 0
% 3.51/1.11  fd_pseudo                               0
% 3.51/1.11  fd_cond                                 0
% 3.51/1.11  fd_pseudo_cond                          0
% 3.51/1.11  AC symbols                              1
% 3.51/1.11  
% 3.51/1.11  ------ Schedule UEQ
% 3.51/1.11  
% 3.51/1.11  ------ Option_UEQ Time Limit: 10.
% 3.51/1.11  
% 3.51/1.11  
% 3.51/1.11  ------ 
% 3.51/1.11  Current options:
% 3.51/1.11  ------ 
% 3.51/1.11  
% 3.51/1.11  
% 3.51/1.11  
% 3.51/1.11  
% 3.51/1.11  ------ Proving...
% 3.51/1.11  
% 3.51/1.11  
% 3.51/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 3.51/1.11  
% 3.51/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.51/1.12  
% 3.51/1.12  
%------------------------------------------------------------------------------