TSTP Solution File: LAT037-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LAT037-1 : TPTP v8.1.2. Released v2.4.0.
% 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 06:16:32 EDT 2023

% Result   : Unsatisfiable 3.20s 1.17s
% Output   : CNFRefutation 3.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   22 (  22 unt;   0 nHn;  10 RR)
%            Number of literals    :   22 (  21 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,plain,
    join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_meet) ).

cnf(c_53,plain,
    meet(X0,n1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_meet_1) ).

cnf(c_56,plain,
    join(xx,yy) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs1) ).

cnf(c_57,plain,
    join(xx,zz) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs2) ).

cnf(c_58,plain,
    meet(xx,yy) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs3) ).

cnf(c_59,plain,
    meet(xx,zz) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs4) ).

cnf(c_60,negated_conjecture,
    yy != zz,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rhs) ).

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

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

cnf(c_545,plain,
    join(meet(X0,xx),meet(X0,yy)) = meet(X0,n1),
    inference(superposition,[status(thm)],[c_56,c_50]) ).

cnf(c_546,plain,
    join(meet(X0,xx),meet(X0,zz)) = meet(X0,n1),
    inference(superposition,[status(thm)],[c_57,c_50]) ).

cnf(c_575,plain,
    join(meet(X0,xx),meet(X0,zz)) = X0,
    inference(light_normalisation,[status(thm)],[c_546,c_53]) ).

cnf(c_576,plain,
    join(meet(X0,xx),meet(X0,yy)) = X0,
    inference(light_normalisation,[status(thm)],[c_545,c_53]) ).

cnf(c_1434,plain,
    join(meet(xx,X0),meet(X0,zz)) = X0,
    inference(superposition,[status(thm)],[c_65,c_575]) ).

cnf(c_1500,plain,
    join(meet(xx,X0),meet(X0,yy)) = X0,
    inference(superposition,[status(thm)],[c_65,c_576]) ).

cnf(c_1790,plain,
    join(n0,meet(yy,zz)) = yy,
    inference(superposition,[status(thm)],[c_58,c_1434]) ).

cnf(c_2123,plain,
    join(n0,meet(zz,yy)) = zz,
    inference(superposition,[status(thm)],[c_59,c_1500]) ).

cnf(c_2157,plain,
    join(n0,meet(yy,zz)) = zz,
    inference(theory_normalisation,[status(thm)],[c_2123,c_67,c_65,c_68,c_66]) ).

cnf(c_2158,plain,
    yy = zz,
    inference(light_normalisation,[status(thm)],[c_2157,c_1790]) ).

cnf(c_2159,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2158,c_60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LAT037-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 09:47:57 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.20/1.17  % SZS status Started for theBenchmark.p
% 3.20/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.20/1.17  
% 3.20/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.20/1.17  
% 3.20/1.17  ------  iProver source info
% 3.20/1.17  
% 3.20/1.17  git: date: 2023-05-31 18:12:56 +0000
% 3.20/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.20/1.17  git: non_committed_changes: false
% 3.20/1.17  git: last_make_outside_of_git: false
% 3.20/1.17  
% 3.20/1.17  ------ Parsing...successful
% 3.20/1.17  
% 3.20/1.17  
% 3.20/1.17  
% 3.20/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.20/1.17  
% 3.20/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.20/1.17  
% 3.20/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.20/1.17  ------ Proving...
% 3.20/1.17  ------ Problem Properties 
% 3.20/1.17  
% 3.20/1.17  
% 3.20/1.17  clauses                                 20
% 3.20/1.17  conjectures                             1
% 3.20/1.17  EPR                                     1
% 3.20/1.17  Horn                                    20
% 3.20/1.17  unary                                   19
% 3.20/1.17  binary                                  1
% 3.20/1.17  lits                                    21
% 3.20/1.17  lits eq                                 21
% 3.20/1.17  fd_pure                                 0
% 3.20/1.17  fd_pseudo                               0
% 3.20/1.17  fd_cond                                 0
% 3.20/1.17  fd_pseudo_cond                          0
% 3.20/1.17  AC symbols                              2
% 3.20/1.17  
% 3.20/1.17  ------ Schedule dynamic 5 is on 
% 3.20/1.17  
% 3.20/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.20/1.17  
% 3.20/1.17  
% 3.20/1.17  ------ 
% 3.20/1.17  Current options:
% 3.20/1.17  ------ 
% 3.20/1.17  
% 3.20/1.17  
% 3.20/1.17  
% 3.20/1.17  
% 3.20/1.17  ------ Proving...
% 3.20/1.17  
% 3.20/1.17  
% 3.20/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.20/1.17  
% 3.20/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.20/1.18  
% 3.20/1.18  
%------------------------------------------------------------------------------