TSTP Solution File: LCL428-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL428-1 : TPTP v8.1.2. Bugfixed v5.5.0.
% 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 07:44:23 EDT 2023

% Result   : Unsatisfiable 6.91s 1.65s
% Output   : CNFRefutation 6.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   32 (  15 unt;   0 nHn;  20 RR)
%            Number of literals    :   55 (   0 equ;  35 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   18 (  18 usr;  17 con; 0-2 aty)
%            Number of variables   :   49 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(c_50,plain,
    is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv1) ).

cnf(c_51,plain,
    is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv2) ).

cnf(c_52,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv3) ).

cnf(c_53,plain,
    is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X0)),implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv5) ).

cnf(c_54,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(x,implies(y,x)),implies(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13),implies(implies(v14,implies(v15,v14)),v16))),v16)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_hr) ).

cnf(c_159,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_203,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_209,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X1))
    | is_a_theorem(implies(implies(X1,X0),X0)) ),
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_246,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(implies(X0,X2)) ),
    inference(superposition,[status(thm)],[c_203,c_49]) ).

cnf(c_278,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X0,X1),X1)) ),
    inference(superposition,[status(thm)],[c_159,c_209]) ).

cnf(c_341,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(X1,X2)) ),
    inference(superposition,[status(thm)],[c_50,c_246]) ).

cnf(c_463,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
    inference(superposition,[status(thm)],[c_50,c_341]) ).

cnf(c_465,plain,
    is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
    inference(superposition,[status(thm)],[c_52,c_341]) ).

cnf(c_534,plain,
    ( ~ is_a_theorem(implies(implies(implies(X0,X1),X1),X2))
    | is_a_theorem(implies(X0,X2)) ),
    inference(superposition,[status(thm)],[c_465,c_246]) ).

cnf(c_624,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X2)
    | is_a_theorem(implies(implies(X2,X0),X1)) ),
    inference(superposition,[status(thm)],[c_278,c_246]) ).

cnf(c_2442,plain,
    ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
    | is_a_theorem(implies(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_203,c_534]) ).

cnf(c_6721,plain,
    is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_51,c_2442]) ).

cnf(c_6729,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_463,c_2442]) ).

cnf(c_7598,plain,
    is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)),
    inference(superposition,[status(thm)],[c_6729,c_209]) ).

cnf(c_11222,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13),implies(implies(v14,implies(v15,v14)),v16)),v16))
    | ~ is_a_theorem(implies(x,implies(y,x))) ),
    inference(superposition,[status(thm)],[c_624,c_54]) ).

cnf(c_11272,plain,
    ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13),implies(implies(v14,implies(v15,v14)),v16)),v16)),
    inference(forward_subsumption_resolution,[status(thm)],[c_11222,c_50]) ).

cnf(c_13322,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13))
    | ~ is_a_theorem(implies(implies(implies(v14,implies(v15,v14)),v16),v16)) ),
    inference(superposition,[status(thm)],[c_624,c_11272]) ).

cnf(c_13323,plain,
    ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13)),
    inference(forward_subsumption_resolution,[status(thm)],[c_13322,c_7598]) ).

cnf(c_13325,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13),v13)) ),
    inference(superposition,[status(thm)],[c_624,c_13323]) ).

cnf(c_13333,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13),v13))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10),v10)) ),
    inference(superposition,[status(thm)],[c_624,c_13325]) ).

cnf(c_13685,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13),v13))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10),v10))
    | ~ is_a_theorem(implies(implies(z,u),implies(implies(v,z),implies(v,u))))
    | ~ is_a_theorem(implies(implies(implies(w,implies(v6,w)),v7),v7)) ),
    inference(superposition,[status(thm)],[c_624,c_13333]) ).

cnf(c_13689,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13),v13))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10),v10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13685,c_7598,c_6721]) ).

cnf(c_13699,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10),v10))
    | ~ is_a_theorem(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11))) ),
    inference(superposition,[status(thm)],[c_278,c_13689]) ).

cnf(c_13710,plain,
    ~ is_a_theorem(implies(implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10),v10)),
    inference(forward_subsumption_resolution,[status(thm)],[c_13699,c_53]) ).

cnf(c_16811,plain,
    ~ is_a_theorem(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8))),
    inference(superposition,[status(thm)],[c_278,c_13710]) ).

cnf(c_16815,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_16811,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL428-1 : TPTP v8.1.2. Bugfixed v5.5.0.
% 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 : Fri Aug 25 06:18:11 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.91/1.65  % SZS status Started for theBenchmark.p
% 6.91/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 6.91/1.65  
% 6.91/1.65  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.91/1.65  
% 6.91/1.65  ------  iProver source info
% 6.91/1.65  
% 6.91/1.65  git: date: 2023-05-31 18:12:56 +0000
% 6.91/1.65  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.91/1.65  git: non_committed_changes: false
% 6.91/1.65  git: last_make_outside_of_git: false
% 6.91/1.65  
% 6.91/1.65  ------ Parsing...successful
% 6.91/1.65  
% 6.91/1.65  
% 6.91/1.65  
% 6.91/1.65  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 6.91/1.65  
% 6.91/1.65  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 6.91/1.65  ------ Proving...
% 6.91/1.65  ------ Problem Properties 
% 6.91/1.65  
% 6.91/1.65  
% 6.91/1.65  clauses                                 6
% 6.91/1.65  conjectures                             1
% 6.91/1.65  EPR                                     0
% 6.91/1.65  Horn                                    6
% 6.91/1.65  unary                                   5
% 6.91/1.65  binary                                  0
% 6.91/1.65  lits                                    8
% 6.91/1.65  lits eq                                 0
% 6.91/1.65  fd_pure                                 0
% 6.91/1.65  fd_pseudo                               0
% 6.91/1.65  fd_cond                                 0
% 6.91/1.65  fd_pseudo_cond                          0
% 6.91/1.65  AC symbols                              0
% 6.91/1.65  
% 6.91/1.65  ------ Schedule dynamic 5 is on 
% 6.91/1.65  
% 6.91/1.65  ------ no equalities: superposition off 
% 6.91/1.65  
% 6.91/1.65  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.91/1.65  
% 6.91/1.65  
% 6.91/1.65  ------ 
% 6.91/1.65  Current options:
% 6.91/1.65  ------ 
% 6.91/1.65  
% 6.91/1.65  
% 6.91/1.65  
% 6.91/1.65  
% 6.91/1.65  ------ Proving...
% 6.91/1.65  
% 6.91/1.65  
% 6.91/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 6.91/1.65  
% 6.91/1.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.91/1.65  
% 6.91/1.66  
%------------------------------------------------------------------------------