TSTP Solution File: GRP175-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP175-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 02:21:35 EDT 2024

% Result   : Unsatisfiable 0.49s 1.17s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (  15 unt;   0 nHn;   8 RR)
%            Number of literals    :   15 (  14 equ;   5 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    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    least_upper_bound(identity,b) = b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p06c_1) ).

cnf(c_50,negated_conjecture,
    greatest_lower_bound(identity,multiply(inverse(a),multiply(b,a))) != identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p06c) ).

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

cnf(c_60,plain,
    greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,greatest_lower_bound(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb1) ).

cnf(c_62,plain,
    greatest_lower_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(greatest_lower_bound(X0,X2),X1),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).

cnf(c_63,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

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

cnf(c_203,plain,
    greatest_lower_bound(identity,b) = identity,
    inference(superposition,[status(thm)],[c_49,c_58]) ).

cnf(c_327,plain,
    multiply(inverse(X0),greatest_lower_bound(X0,X1)) = greatest_lower_bound(identity,multiply(inverse(X0),X1)),
    inference(superposition,[status(thm)],[c_64,c_60]) ).

cnf(c_341,plain,
    multiply(inverse(a),greatest_lower_bound(a,multiply(b,a))) != identity,
    inference(demodulation,[status(thm)],[c_50,c_327]) ).

cnf(c_384,plain,
    greatest_lower_bound(X0,multiply(X1,X0)) = multiply(greatest_lower_bound(identity,X1),X0),
    inference(superposition,[status(thm)],[c_63,c_62]) ).

cnf(c_1872,plain,
    multiply(inverse(a),multiply(greatest_lower_bound(identity,b),a)) != identity,
    inference(demodulation,[status(thm)],[c_341,c_384]) ).

cnf(c_1873,plain,
    multiply(inverse(a),multiply(identity,a)) != identity,
    inference(light_normalisation,[status(thm)],[c_1872,c_203]) ).

cnf(c_1923,plain,
    multiply(inverse(a),a) != identity,
    inference(superposition,[status(thm)],[c_63,c_1873]) ).

cnf(c_1924,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1923,c_64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : GRP175-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 23:52:55 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running UEQ theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.49/1.17  % SZS status Started for theBenchmark.p
% 0.49/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.17  
% 0.49/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.17  
% 0.49/1.17  ------  iProver source info
% 0.49/1.17  
% 0.49/1.17  git: date: 2024-05-02 19:28:25 +0000
% 0.49/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.49/1.17  git: non_committed_changes: false
% 0.49/1.17  
% 0.49/1.17  ------ Parsing...successful
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.49/1.17  
% 0.49/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.49/1.17  
% 0.49/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.49/1.17  ------ Proving...
% 0.49/1.17  ------ Problem Properties 
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  clauses                                 17
% 0.49/1.17  conjectures                             1
% 0.49/1.17  EPR                                     0
% 0.49/1.17  Horn                                    17
% 0.49/1.17  unary                                   17
% 0.49/1.17  binary                                  0
% 0.49/1.17  lits                                    17
% 0.49/1.17  lits eq                                 17
% 0.49/1.17  fd_pure                                 0
% 0.49/1.17  fd_pseudo                               0
% 0.49/1.17  fd_cond                                 0
% 0.49/1.17  fd_pseudo_cond                          0
% 0.49/1.17  AC symbols                              2
% 0.49/1.17  
% 0.49/1.17  ------ Input Options Time Limit: Unbounded
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  ------ 
% 0.49/1.17  Current options:
% 0.49/1.17  ------ 
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  ------ Proving...
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.17  
% 0.49/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.17  
% 0.49/1.17  
%------------------------------------------------------------------------------