%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LAT035-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 02:34:36 EDT 2024

% Result   : Unsatisfiable 1.18s 1.40s
% Output   : CNFRefutation 1.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   13 (  11 unt;   0 nHn;   7 RR)
%            Number of literals    :   15 (  14 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_54,plain,
    meet(k(X0),k(X1)) = k(join(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_on_join) ).

cnf(c_56,plain,
    k(n0) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_on_bottom) ).

cnf(c_58,plain,
    join(f(X0),f(X1)) = f(meet(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_on_meet) ).

cnf(c_59,plain,
    f(n1) = n0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_on_top) ).

cnf(c_60,negated_conjecture,
    ( join(f(k(aa)),f(k(bb))) != f(k(join(aa,bb)))
    | f(k(n0)) != n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comp_join_hemimorphism) ).

cnf(c_65,plain,
    meet(X0,X1) = meet(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).

cnf(c_66,plain,
    join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).

cnf(c_67,plain,
    meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).

cnf(c_68,plain,
    join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).

cnf(c_129,plain,
    ( f(meet(k(aa),k(bb))) != f(k(join(aa,bb)))
    | f(k(n0)) != n0 ),
    inference(ac_demodulation,[status(thm)],[c_60,c_58,c_67,c_65,c_68,c_66]) ).

cnf(c_130,plain,
    f(k(n0)) != n0,
    inference(ac_demodulation,[status(thm)],[c_129,c_54,c_67,c_65,c_68,c_66]) ).

cnf(c_131,plain,
    n0 != n0,
    inference(light_normalisation,[status(thm)],[c_130,c_56,c_59]) ).

cnf(c_132,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_131]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LAT035-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n003.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 18:17:35 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  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
% 1.18/1.40  % SZS status Started for theBenchmark.p
% 1.18/1.40  % SZS status Unsatisfiable for theBenchmark.p
% 1.18/1.40  
% 1.18/1.40  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.18/1.40  
% 1.18/1.40  ------  iProver source info
% 1.18/1.40  
% 1.18/1.40  git: date: 2024-05-02 19:28:25 +0000
% 1.18/1.40  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.18/1.40  git: non_committed_changes: false
% 1.18/1.40  
% 1.18/1.40  ------ Parsing...successful
% 1.18/1.40  
% 1.18/1.40  
% 1.18/1.40  
% 1.18/1.40  ------ Preprocessing...
% 1.18/1.40  
% 1.18/1.40  % SZS status Unsatisfiable for theBenchmark.p
% 1.18/1.40  
% 1.18/1.40  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.18/1.40  
% 1.18/1.40  
%------------------------------------------------------------------------------