TSTP Solution File: GRP172-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP172-2 : TPTP v8.2.0. Bugfixed v1.2.1.
% 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 : Mon Jun 24 06:58:28 EDT 2024

% Result   : Unsatisfiable 3.18s 1.14s
% Output   : CNFRefutation 3.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   26 (  26 unt;   0 nHn;  11 RR)
%            Number of literals    :   26 (  25 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   31 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    greatest_lower_bound(identity,a) = identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p04d_1) ).

cnf(c_50,plain,
    greatest_lower_bound(identity,b) = identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p04d_2) ).

cnf(c_51,negated_conjecture,
    least_upper_bound(identity,multiply(a,b)) != multiply(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p04d) ).

cnf(c_52,plain,
    greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).

cnf(c_53,plain,
    least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).

cnf(c_54,plain,
    greatest_lower_bound(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(X0,greatest_lower_bound(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).

cnf(c_55,plain,
    least_upper_bound(least_upper_bound(X0,X1),X2) = least_upper_bound(X0,least_upper_bound(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).

cnf(c_58,plain,
    least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).

cnf(c_59,plain,
    greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).

cnf(c_62,plain,
    least_upper_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(least_upper_bound(X0,X2),X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).

cnf(c_64,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_193,plain,
    least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(X1,least_upper_bound(X0,X2)),
    inference(superposition,[status(thm)],[c_55,c_53]) ).

cnf(c_211,plain,
    least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_52,c_58]) ).

cnf(c_222,plain,
    greatest_lower_bound(X0,least_upper_bound(X1,least_upper_bound(X0,X2))) = X0,
    inference(superposition,[status(thm)],[c_193,c_59]) ).

cnf(c_241,plain,
    least_upper_bound(a,identity) = a,
    inference(superposition,[status(thm)],[c_49,c_211]) ).

cnf(c_242,plain,
    least_upper_bound(b,identity) = b,
    inference(superposition,[status(thm)],[c_50,c_211]) ).

cnf(c_251,plain,
    least_upper_bound(identity,b) = b,
    inference(theory_normalisation,[status(thm)],[c_242,c_54,c_52,c_55,c_53]) ).

cnf(c_252,plain,
    least_upper_bound(identity,a) = a,
    inference(theory_normalisation,[status(thm)],[c_241,c_54,c_52,c_55,c_53]) ).

cnf(c_331,plain,
    greatest_lower_bound(identity,least_upper_bound(X0,b)) = identity,
    inference(superposition,[status(thm)],[c_251,c_222]) ).

cnf(c_379,plain,
    greatest_lower_bound(identity,least_upper_bound(b,X0)) = identity,
    inference(superposition,[status(thm)],[c_53,c_331]) ).

cnf(c_1004,plain,
    least_upper_bound(X0,multiply(X1,X0)) = multiply(least_upper_bound(identity,X1),X0),
    inference(superposition,[status(thm)],[c_64,c_62]) ).

cnf(c_9170,plain,
    greatest_lower_bound(identity,multiply(least_upper_bound(identity,X0),b)) = identity,
    inference(superposition,[status(thm)],[c_1004,c_379]) ).

cnf(c_9739,plain,
    greatest_lower_bound(identity,multiply(a,b)) = identity,
    inference(superposition,[status(thm)],[c_252,c_9170]) ).

cnf(c_9911,plain,
    least_upper_bound(multiply(a,b),identity) = multiply(a,b),
    inference(superposition,[status(thm)],[c_9739,c_211]) ).

cnf(c_9934,plain,
    least_upper_bound(identity,multiply(a,b)) = multiply(a,b),
    inference(theory_normalisation,[status(thm)],[c_9911,c_54,c_52,c_55,c_53]) ).

cnf(c_9935,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9934,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP172-2 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n019.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 Jun 20 09:45:54 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  Running UEQ theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.18/1.14  % SZS status Started for theBenchmark.p
% 3.18/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.18/1.14  
% 3.18/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.18/1.14  
% 3.18/1.14  ------  iProver source info
% 3.18/1.14  
% 3.18/1.14  git: date: 2024-06-12 09:56:46 +0000
% 3.18/1.14  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.18/1.14  git: non_committed_changes: false
% 3.18/1.14  
% 3.18/1.14  ------ Parsing...successful
% 3.18/1.14  
% 3.18/1.14  
% 3.18/1.14  
% 3.18/1.14  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.18/1.14  
% 3.18/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.18/1.14  
% 3.18/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.18/1.14  ------ Proving...
% 3.18/1.14  ------ Problem Properties 
% 3.18/1.14  
% 3.18/1.14  
% 3.18/1.14  clauses                                 18
% 3.18/1.14  conjectures                             1
% 3.18/1.14  EPR                                     0
% 3.18/1.14  Horn                                    18
% 3.18/1.14  unary                                   18
% 3.18/1.14  binary                                  0
% 3.18/1.14  lits                                    18
% 3.18/1.14  lits eq                                 18
% 3.18/1.14  fd_pure                                 0
% 3.18/1.14  fd_pseudo                               0
% 3.18/1.14  fd_cond                                 0
% 3.18/1.14  fd_pseudo_cond                          0
% 3.18/1.14  AC symbols                              2
% 3.18/1.14  
% 3.18/1.14  ------ Input Options Time Limit: Unbounded
% 3.18/1.14  
% 3.18/1.14  
% 3.18/1.14  ------ 
% 3.18/1.14  Current options:
% 3.18/1.14  ------ 
% 3.18/1.14  
% 3.18/1.14  
% 3.18/1.14  
% 3.18/1.14  
% 3.18/1.14  ------ Proving...
% 3.18/1.14  
% 3.18/1.14  
% 3.18/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.18/1.14  
% 3.18/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.18/1.14  
% 3.18/1.14  
%------------------------------------------------------------------------------