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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG002-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 : Mon Jun 24 14:02:56 EDT 2024

% Result   : Unsatisfiable 3.33s 1.20s
% Output   : CNFRefutation 3.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   25 (  21 unt;   0 nHn;  14 RR)
%            Number of literals    :   33 (  22 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   :   35 (   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_52,plain,
    sum(additive_identity,X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).

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_78,plain,
    add(additive_identity,X0) = X0,
    inference(well_definedness,[status(thm)],[c_52]) ).

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_265,negated_conjecture,
    b != c,
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_314,plain,
    add(a,b) = add(a,c),
    inference(light_normalisation,[status(thm)],[c_77,c_76]) ).

cnf(c_328,plain,
    add(add(a,b),X0) = add(a,add(c,X0)),
    inference(superposition,[status(thm)],[c_314,c_225]) ).

cnf(c_331,plain,
    add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
    inference(superposition,[status(thm)],[c_83,c_225]) ).

cnf(c_334,plain,
    add(a,add(b,X0)) = add(a,add(c,X0)),
    inference(theory_normalisation,[status(thm)],[c_328,c_225,c_219]) ).

cnf(c_359,plain,
    add(X0,add(additive_inverse(X0),X1)) = X1,
    inference(demodulation,[status(thm)],[c_331,c_78]) ).

cnf(c_365,plain,
    add(X0,add(X1,additive_inverse(X0))) = X1,
    inference(superposition,[status(thm)],[c_219,c_359]) ).

cnf(c_505,plain,
    add(a,add(b,additive_inverse(a))) = c,
    inference(superposition,[status(thm)],[c_334,c_365]) ).

cnf(c_572,plain,
    b = c,
    inference(demodulation,[status(thm)],[c_505,c_365]) ).

cnf(c_573,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_572,c_265]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG002-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Jun 18 14:06:54 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  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
% 3.33/1.20  % SZS status Started for theBenchmark.p
% 3.33/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 3.33/1.20  
% 3.33/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.33/1.20  
% 3.33/1.20  ------  iProver source info
% 3.33/1.20  
% 3.33/1.20  git: date: 2024-06-12 09:56:46 +0000
% 3.33/1.20  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.33/1.20  git: non_committed_changes: false
% 3.33/1.20  
% 3.33/1.20  ------ Parsing...successful
% 3.33/1.20  
% 3.33/1.20  
% 3.33/1.20  
% 3.33/1.20  ------ Preprocessing... sup_sim: 15  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 
% 3.33/1.20  
% 3.33/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.33/1.20  
% 3.33/1.20  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.33/1.20  ------ Proving...
% 3.33/1.20  ------ Problem Properties 
% 3.33/1.20  
% 3.33/1.20  
% 3.33/1.20  clauses                                 11
% 3.33/1.20  conjectures                             1
% 3.33/1.20  EPR                                     1
% 3.33/1.20  Horn                                    11
% 3.33/1.20  unary                                   11
% 3.33/1.20  binary                                  0
% 3.33/1.20  lits                                    11
% 3.33/1.20  lits eq                                 11
% 3.33/1.20  fd_pure                                 0
% 3.33/1.20  fd_pseudo                               0
% 3.33/1.20  fd_cond                                 0
% 3.33/1.20  fd_pseudo_cond                          0
% 3.33/1.20  AC symbols                              1
% 3.33/1.20  
% 3.33/1.20  ------ Schedule UEQ
% 3.33/1.20  
% 3.33/1.20  ------ Option_UEQ Time Limit: 10.
% 3.33/1.20  
% 3.33/1.20  
% 3.33/1.20  ------ 
% 3.33/1.20  Current options:
% 3.33/1.20  ------ 
% 3.33/1.20  
% 3.33/1.20  
% 3.33/1.20  
% 3.33/1.20  
% 3.33/1.20  ------ Proving...
% 3.33/1.20  
% 3.33/1.20  
% 3.33/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 3.33/1.20  
% 3.33/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.33/1.20  
% 3.33/1.20  
%------------------------------------------------------------------------------