TSTP Solution File: LCL365-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL365-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 07:44:04 EDT 2023

% Result   : Unsatisfiable 28.36s 4.59s
% Output   : CNFRefutation 28.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   27 (  10 unt;   0 nHn;  10 RR)
%            Number of literals    :   50 (   0 equ;  26 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   64 (  12 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(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).

cnf(c_51,plain,
    is_a_theorem(implies(implies(not(X0),X0),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).

cnf(c_52,plain,
    is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).

cnf(c_53,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_14) ).

cnf(c_124,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(not(X0),X1)) ),
    inference(resolution,[status(thm)],[c_49,c_52]) ).

cnf(c_175,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(resolution,[status(thm)],[c_50,c_49]) ).

cnf(c_189,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[status(thm)],[c_175,c_49]) ).

cnf(c_201,plain,
    ~ is_a_theorem(implies(implies(not(z),y),implies(x,implies(implies(y,z),z)))),
    inference(resolution,[status(thm)],[c_53,c_175]) ).

cnf(c_224,plain,
    ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
    | is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3)))) ),
    inference(resolution,[status(thm)],[c_189,c_50]) ).

cnf(c_226,plain,
    ( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
    | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[status(thm)],[c_189,c_51]) ).

cnf(c_227,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(X0,implies(not(X1),X2))) ),
    inference(resolution,[status(thm)],[c_189,c_52]) ).

cnf(c_229,plain,
    ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
    | ~ is_a_theorem(implies(X3,X1))
    | is_a_theorem(implies(X0,implies(X3,X2))) ),
    inference(resolution,[status(thm)],[c_189,c_175]) ).

cnf(c_303,plain,
    is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
    inference(resolution,[status(thm)],[c_226,c_51]) ).

cnf(c_359,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(implies(not(X1),X2)) ),
    inference(resolution,[status(thm)],[c_227,c_49]) ).

cnf(c_523,plain,
    ( ~ is_a_theorem(implies(X0,not(X1)))
    | is_a_theorem(implies(X1,implies(X0,X2))) ),
    inference(resolution,[status(thm)],[c_229,c_52]) ).

cnf(c_527,plain,
    ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
    | ~ is_a_theorem(implies(X3,implies(X4,X1)))
    | is_a_theorem(implies(X3,implies(X0,implies(X4,X2)))) ),
    inference(resolution,[status(thm)],[c_229,c_224]) ).

cnf(c_922,plain,
    ( ~ is_a_theorem(implies(not(X0),not(X1)))
    | is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[status(thm)],[c_523,c_226]) ).

cnf(c_986,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[status(thm)],[c_922,c_124]) ).

cnf(c_1002,plain,
    ( ~ is_a_theorem(implies(not(X0),X0))
    | is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[status(thm)],[c_986,c_226]) ).

cnf(c_1533,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X2,X0))
    | is_a_theorem(implies(not(implies(X2,X1)),X3)) ),
    inference(resolution,[status(thm)],[c_359,c_175]) ).

cnf(c_4856,plain,
    ( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))
    | is_a_theorem(implies(implies(X1,X4),implies(X0,implies(implies(X4,X2),X3)))) ),
    inference(resolution,[status(thm)],[c_527,c_50]) ).

cnf(c_15180,plain,
    ( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
    | is_a_theorem(implies(not(implies(X0,X2)),X3)) ),
    inference(resolution,[status(thm)],[c_1533,c_52]) ).

cnf(c_62646,plain,
    is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
    inference(resolution,[status(thm)],[c_15180,c_303]) ).

cnf(c_73332,plain,
    is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
    inference(resolution,[status(thm)],[c_62646,c_1002]) ).

cnf(c_79520,plain,
    ~ is_a_theorem(implies(x,implies(implies(not(z),z),z))),
    inference(resolution,[status(thm)],[c_4856,c_201]) ).

cnf(c_80296,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_79520,c_73332]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : LCL365-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.08  % Command  : run_iprover %s %d THM
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.27  % DateTime : Fri Aug 25 01:30:12 EDT 2023
% 0.07/0.28  % CPUTime  : 
% 0.12/0.35  Running first-order theorem proving
% 0.12/0.35  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 28.36/4.59  % SZS status Started for theBenchmark.p
% 28.36/4.59  % SZS status Unsatisfiable for theBenchmark.p
% 28.36/4.59  
% 28.36/4.59  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 28.36/4.59  
% 28.36/4.59  ------  iProver source info
% 28.36/4.59  
% 28.36/4.59  git: date: 2023-05-31 18:12:56 +0000
% 28.36/4.59  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 28.36/4.59  git: non_committed_changes: false
% 28.36/4.59  git: last_make_outside_of_git: false
% 28.36/4.59  
% 28.36/4.59  ------ Parsing...successful
% 28.36/4.59  
% 28.36/4.59  
% 28.36/4.59  
% 28.36/4.59  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 28.36/4.59  
% 28.36/4.59  ------ Preprocessing...
% 28.36/4.59  ------ Proving...
% 28.36/4.59  ------ Problem Properties 
% 28.36/4.59  
% 28.36/4.59  
% 28.36/4.59  clauses                                 5
% 28.36/4.59  conjectures                             1
% 28.36/4.59  EPR                                     0
% 28.36/4.59  Horn                                    5
% 28.36/4.59  unary                                   4
% 28.36/4.59  binary                                  0
% 28.36/4.59  lits                                    7
% 28.36/4.59  lits eq                                 0
% 28.36/4.59  fd_pure                                 0
% 28.36/4.59  fd_pseudo                               0
% 28.36/4.59  fd_cond                                 0
% 28.36/4.59  fd_pseudo_cond                          0
% 28.36/4.59  AC symbols                              0
% 28.36/4.59  
% 28.36/4.59  ------ Input Options Time Limit: Unbounded
% 28.36/4.59  
% 28.36/4.59  
% 28.36/4.59  ------ 
% 28.36/4.59  Current options:
% 28.36/4.59  ------ 
% 28.36/4.59  
% 28.36/4.59  
% 28.36/4.59  
% 28.36/4.59  
% 28.36/4.59  ------ Proving...
% 28.36/4.59  
% 28.36/4.59  
% 28.36/4.59  % SZS status Unsatisfiable for theBenchmark.p
% 28.36/4.59  
% 28.36/4.59  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.36/4.59  
% 28.36/4.59  
%------------------------------------------------------------------------------