TSTP Solution File: LCL090-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL090-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 07:42:26 EDT 2023

% Result   : Unsatisfiable 7.94s 1.70s
% Output   : CNFRefutation 7.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   52 (  32 unt;   0 nHn;   3 RR)
%            Number of literals    :   73 (   0 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :  225 ( 142 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(implies(X0,X1),implies(X2,X3)),implies(implies(X3,X0),implies(X4,implies(X2,X0))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).

cnf(c_51,negated_conjecture,
    ~ is_a_theorem(implies(a,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_1) ).

cnf(c_111,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
    | is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0)))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_137,plain,
    is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X2,X3)),implies(X4,implies(implies(X5,X2),implies(X2,X3))))),
    inference(superposition,[status(thm)],[c_50,c_111]) ).

cnf(c_151,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,X3)))
    | is_a_theorem(implies(X4,implies(implies(X5,X2),implies(X2,X3)))) ),
    inference(superposition,[status(thm)],[c_137,c_49]) ).

cnf(c_202,plain,
    is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))),
    inference(superposition,[status(thm)],[c_137,c_151]) ).

cnf(c_227,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))) ),
    inference(superposition,[status(thm)],[c_202,c_49]) ).

cnf(c_285,plain,
    is_a_theorem(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X3,X1))))),
    inference(superposition,[status(thm)],[c_50,c_227]) ).

cnf(c_336,plain,
    is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
    inference(superposition,[status(thm)],[c_285,c_111]) ).

cnf(c_558,plain,
    is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))),
    inference(superposition,[status(thm)],[c_336,c_151]) ).

cnf(c_607,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))) ),
    inference(superposition,[status(thm)],[c_558,c_49]) ).

cnf(c_695,plain,
    is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,implies(X3,X1))))),
    inference(superposition,[status(thm)],[c_50,c_607]) ).

cnf(c_704,plain,
    is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
    inference(superposition,[status(thm)],[c_695,c_111]) ).

cnf(c_781,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))
    | is_a_theorem(implies(X4,implies(X2,X3))) ),
    inference(superposition,[status(thm)],[c_704,c_49]) ).

cnf(c_832,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X1)))))),
    inference(superposition,[status(thm)],[c_704,c_781]) ).

cnf(c_946,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
    | is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0)))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_974,plain,
    is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X2,X3)),implies(X4,implies(implies(X5,X2),implies(X2,X3))))),
    inference(superposition,[status(thm)],[c_50,c_946]) ).

cnf(c_987,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,X3)))
    | is_a_theorem(implies(X4,implies(implies(X5,X2),implies(X2,X3)))) ),
    inference(superposition,[status(thm)],[c_974,c_49]) ).

cnf(c_995,plain,
    is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))),
    inference(superposition,[status(thm)],[c_974,c_987]) ).

cnf(c_1009,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))) ),
    inference(superposition,[status(thm)],[c_995,c_49]) ).

cnf(c_1998,plain,
    is_a_theorem(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X3,X1))))),
    inference(superposition,[status(thm)],[c_832,c_1009]) ).

cnf(c_2030,plain,
    is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
    inference(superposition,[status(thm)],[c_1998,c_946]) ).

cnf(c_2090,plain,
    ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),X3))
    | is_a_theorem(implies(X4,implies(X2,X3))) ),
    inference(superposition,[status(thm)],[c_2030,c_49]) ).

cnf(c_2092,plain,
    is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))),
    inference(superposition,[status(thm)],[c_2030,c_987]) ).

cnf(c_2242,plain,
    is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))),
    inference(superposition,[status(thm)],[c_50,c_2090]) ).

cnf(c_2248,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X2))))))),
    inference(superposition,[status(thm)],[c_832,c_2090]) ).

cnf(c_2424,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2))))) ),
    inference(superposition,[status(thm)],[c_2242,c_49]) ).

cnf(c_2676,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))) ),
    inference(superposition,[status(thm)],[c_2092,c_49]) ).

cnf(c_3081,plain,
    is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,implies(X3,X1))))),
    inference(superposition,[status(thm)],[c_2248,c_2424]) ).

cnf(c_3104,plain,
    is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,implies(X3,X1))))),
    inference(superposition,[status(thm)],[c_2248,c_2676]) ).

cnf(c_3945,plain,
    is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
    inference(superposition,[status(thm)],[c_3104,c_946]) ).

cnf(c_4334,plain,
    is_a_theorem(implies(implies(implies(X0,X1),implies(X2,implies(X3,X0))),implies(X4,implies(X5,implies(X2,implies(X3,X0)))))),
    inference(superposition,[status(thm)],[c_3945,c_946]) ).

cnf(c_5821,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X0))))
    | is_a_theorem(implies(X4,implies(X5,implies(X2,implies(X3,X0))))) ),
    inference(superposition,[status(thm)],[c_4334,c_49]) ).

cnf(c_6849,plain,
    is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3)))))),
    inference(superposition,[status(thm)],[c_50,c_5821]) ).

cnf(c_6857,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X2)))))),
    inference(superposition,[status(thm)],[c_3104,c_5821]) ).

cnf(c_6977,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3))))) ),
    inference(superposition,[status(thm)],[c_6849,c_49]) ).

cnf(c_7387,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X2))))) ),
    inference(superposition,[status(thm)],[c_6857,c_49]) ).

cnf(c_7554,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X1))))),
    inference(superposition,[status(thm)],[c_3081,c_7387]) ).

cnf(c_7562,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))) ),
    inference(superposition,[status(thm)],[c_7554,c_49]) ).

cnf(c_7601,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
    inference(superposition,[status(thm)],[c_3081,c_7562]) ).

cnf(c_7987,plain,
    is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,implies(X2,X2))))),
    inference(superposition,[status(thm)],[c_7601,c_6977]) ).

cnf(c_7999,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2)))) ),
    inference(superposition,[status(thm)],[c_7987,c_49]) ).

cnf(c_8038,plain,
    is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,X1)))),
    inference(superposition,[status(thm)],[c_7601,c_7999]) ).

cnf(c_9236,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
    inference(superposition,[status(thm)],[c_8038,c_5821]) ).

cnf(c_9320,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))) ),
    inference(superposition,[status(thm)],[c_9236,c_49]) ).

cnf(c_9550,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
    inference(superposition,[status(thm)],[c_7601,c_9320]) ).

cnf(c_9579,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(X2,X2))) ),
    inference(superposition,[status(thm)],[c_9550,c_49]) ).

cnf(c_9619,plain,
    is_a_theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_7601,c_9579]) ).

cnf(c_9633,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X1)) ),
    inference(superposition,[status(thm)],[c_9619,c_49]) ).

cnf(c_9673,plain,
    is_a_theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_7601,c_9633]) ).

cnf(c_9685,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_51,c_9673]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL090-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 18:37:10 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.94/1.70  % SZS status Started for theBenchmark.p
% 7.94/1.70  % SZS status Unsatisfiable for theBenchmark.p
% 7.94/1.70  
% 7.94/1.70  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.94/1.70  
% 7.94/1.70  ------  iProver source info
% 7.94/1.70  
% 7.94/1.70  git: date: 2023-05-31 18:12:56 +0000
% 7.94/1.70  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.94/1.70  git: non_committed_changes: false
% 7.94/1.70  git: last_make_outside_of_git: false
% 7.94/1.70  
% 7.94/1.70  ------ Parsing...successful
% 7.94/1.70  
% 7.94/1.70  
% 7.94/1.70  
% 7.94/1.70  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.94/1.70  
% 7.94/1.70  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.94/1.70  ------ Proving...
% 7.94/1.70  ------ Problem Properties 
% 7.94/1.70  
% 7.94/1.70  
% 7.94/1.70  clauses                                 3
% 7.94/1.70  conjectures                             1
% 7.94/1.70  EPR                                     0
% 7.94/1.70  Horn                                    3
% 7.94/1.70  unary                                   2
% 7.94/1.70  binary                                  0
% 7.94/1.70  lits                                    5
% 7.94/1.70  lits eq                                 0
% 7.94/1.70  fd_pure                                 0
% 7.94/1.70  fd_pseudo                               0
% 7.94/1.70  fd_cond                                 0
% 7.94/1.70  fd_pseudo_cond                          0
% 7.94/1.70  AC symbols                              0
% 7.94/1.70  
% 7.94/1.70  ------ Schedule dynamic 5 is on 
% 7.94/1.70  
% 7.94/1.70  ------ no equalities: superposition off 
% 7.94/1.70  
% 7.94/1.70  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.94/1.70  
% 7.94/1.70  
% 7.94/1.70  ------ 
% 7.94/1.70  Current options:
% 7.94/1.70  ------ 
% 7.94/1.70  
% 7.94/1.70  
% 7.94/1.70  
% 7.94/1.70  
% 7.94/1.70  ------ Proving...
% 7.94/1.70  
% 7.94/1.70  
% 7.94/1.70  % SZS status Unsatisfiable for theBenchmark.p
% 7.94/1.70  
% 7.94/1.70  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.94/1.70  
% 7.94/1.70  
%------------------------------------------------------------------------------