TSTP Solution File: LAT042-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LAT042-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 06:16:33 EDT 2023

% Result   : Unsatisfiable 0.48s 1.18s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (  14 unt;   0 nHn;   6 RR)
%            Number of literals    :   14 (  13 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    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity) ).

cnf(c_53,negated_conjecture,
    join(a,meet(b,join(a,c))) != meet(join(a,b),join(a,c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_modular_law) ).

cnf(c_54,plain,
    meet(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).

cnf(c_57,plain,
    join(X0,meet(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).

cnf(c_58,plain,
    meet(X0,X1) = meet(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).

cnf(c_59,plain,
    join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).

cnf(c_60,plain,
    meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).

cnf(c_61,plain,
    join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).

cnf(c_170,plain,
    join(meet(join(a,b),a),meet(join(a,b),c)) != join(a,meet(b,join(a,c))),
    inference(superposition,[status(thm)],[c_49,c_53]) ).

cnf(c_186,plain,
    join(meet(X0,X1),meet(X0,X2)) = meet(join(X1,X2),X0),
    inference(superposition,[status(thm)],[c_58,c_49]) ).

cnf(c_302,plain,
    join(join(meet(a,a),meet(a,b)),join(meet(c,a),meet(c,b))) != join(a,meet(b,join(a,c))),
    inference(demodulation,[status(thm)],[c_170,c_186]) ).

cnf(c_303,plain,
    join(a,join(meet(b,a),meet(b,c))) != join(a,join(meet(c,a),meet(c,b))),
    inference(demodulation,[status(thm)],[c_302,c_49,c_54,c_57]) ).

cnf(c_304,plain,
    join(a,join(meet(a,b),meet(b,c))) != join(a,join(meet(a,c),meet(b,c))),
    inference(theory_normalisation,[status(thm)],[c_303,c_61,c_59,c_60,c_58]) ).

cnf(c_305,plain,
    $false,
    inference(ac_demodulation,[status(thm)],[c_304,c_57,c_57,c_61,c_59,c_60,c_58]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LAT042-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n012.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 Aug 24 04:16:12 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.22/0.48  Running UEQ theorem proving
% 0.22/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.48/1.18  % SZS status Started for theBenchmark.p
% 0.48/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.18  
% 0.48/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.18  
% 0.48/1.18  ------  iProver source info
% 0.48/1.18  
% 0.48/1.18  git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.18  git: non_committed_changes: false
% 0.48/1.18  git: last_make_outside_of_git: false
% 0.48/1.18  
% 0.48/1.18  ------ Parsing...successful
% 0.48/1.18  
% 0.48/1.18  
% 0.48/1.18  
% 0.48/1.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.48/1.18  
% 0.48/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.48/1.18  
% 0.48/1.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.48/1.18  ------ Proving...
% 0.48/1.18  ------ Problem Properties 
% 0.48/1.18  
% 0.48/1.18  
% 0.48/1.18  clauses                                 13
% 0.48/1.18  conjectures                             1
% 0.48/1.18  EPR                                     0
% 0.48/1.18  Horn                                    13
% 0.48/1.18  unary                                   13
% 0.48/1.18  binary                                  0
% 0.48/1.18  lits                                    13
% 0.48/1.18  lits eq                                 13
% 0.48/1.18  fd_pure                                 0
% 0.48/1.18  fd_pseudo                               0
% 0.48/1.18  fd_cond                                 0
% 0.48/1.18  fd_pseudo_cond                          0
% 0.48/1.18  AC symbols                              2
% 0.48/1.18  
% 0.48/1.18  ------ Input Options Time Limit: Unbounded
% 0.48/1.18  
% 0.48/1.18  
% 0.48/1.18  ------ 
% 0.48/1.18  Current options:
% 0.48/1.18  ------ 
% 0.48/1.18  
% 0.48/1.18  
% 0.48/1.18  
% 0.48/1.18  
% 0.48/1.18  ------ Proving...
% 0.48/1.18  
% 0.48/1.18  
% 0.48/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.18  
% 0.48/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.18  
% 0.48/1.18  
%------------------------------------------------------------------------------