TSTP Solution File: LCL034-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL034-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 07:42:08 EDT 2023

% Result   : Unsatisfiable 41.75s 6.72s
% Output   : CNFRefutation 41.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   48 (  29 unt;   0 nHn;  11 RR)
%            Number of literals    :   69 (   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    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :  162 (  86 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(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_CAMerideth) ).

cnf(c_51,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(a,b),a),a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_3) ).

cnf(c_69,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4))
    | is_a_theorem(implies(implies(X4,X0),implies(X2,X0))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_73,plain,
    is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
    inference(superposition,[status(thm)],[c_50,c_69]) ).

cnf(c_79,plain,
    ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))
    | is_a_theorem(implies(X4,implies(X1,X3))) ),
    inference(superposition,[status(thm)],[c_73,c_49]) ).

cnf(c_80,plain,
    is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))),
    inference(superposition,[status(thm)],[c_73,c_69]) ).

cnf(c_19910,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(falsehood,X1)),X2))
    | is_a_theorem(implies(X3,X2)) ),
    inference(superposition,[status(thm)],[c_80,c_49]) ).

cnf(c_19921,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4))
    | is_a_theorem(implies(implies(X4,X0),implies(X2,X0))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_19922,plain,
    is_a_theorem(implies(X0,implies(implies(implies(falsehood,X1),X2),implies(X3,X2)))),
    inference(superposition,[status(thm)],[c_50,c_19910]) ).

cnf(c_19923,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(falsehood,X1),X2),implies(X3,X2))) ),
    inference(superposition,[status(thm)],[c_19922,c_49]) ).

cnf(c_19927,plain,
    is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))),
    inference(superposition,[status(thm)],[c_50,c_19923]) ).

cnf(c_20031,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_19927,c_79]) ).

cnf(c_20045,plain,
    is_a_theorem(implies(implies(implies(implies(implies(falsehood,X0),X1),implies(X2,X1)),X3),implies(X4,X3))),
    inference(superposition,[status(thm)],[c_19922,c_19921]) ).

cnf(c_20057,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_20031,c_49]) ).

cnf(c_20058,plain,
    is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))),
    inference(superposition,[status(thm)],[c_20031,c_19921]) ).

cnf(c_20069,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(falsehood,X0),X1),implies(X2,X1)),X3))
    | is_a_theorem(implies(X4,X3)) ),
    inference(superposition,[status(thm)],[c_20045,c_49]) ).

cnf(c_20077,plain,
    is_a_theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_50,c_20057]) ).

cnf(c_20096,plain,
    is_a_theorem(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1))),
    inference(superposition,[status(thm)],[c_20077,c_19921]) ).

cnf(c_23028,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),implies(X0,falsehood)),X2))),
    inference(superposition,[status(thm)],[c_20096,c_19921]) ).

cnf(c_23049,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(implies(implies(X1,X3),implies(X0,falsehood)),X2)) ),
    inference(superposition,[status(thm)],[c_23028,c_49]) ).

cnf(c_23057,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(implies(falsehood,X3),falsehood)),implies(X4,X1)))),
    inference(superposition,[status(thm)],[c_23028,c_20069]) ).

cnf(c_23083,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),implies(implies(falsehood,X3),falsehood)),implies(X4,X1))) ),
    inference(superposition,[status(thm)],[c_23057,c_49]) ).

cnf(c_23157,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,falsehood)))
    | ~ is_a_theorem(implies(implies(X2,X0),X3))
    | is_a_theorem(X3) ),
    inference(superposition,[status(thm)],[c_23049,c_49]) ).

cnf(c_23265,plain,
    is_a_theorem(implies(implies(implies(X0,X1),implies(implies(falsehood,X2),falsehood)),implies(X3,X0))),
    inference(superposition,[status(thm)],[c_23057,c_23083]) ).

cnf(c_23373,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X1))),X3))
    | is_a_theorem(X3) ),
    inference(superposition,[status(thm)],[c_20058,c_23157]) ).

cnf(c_24450,plain,
    is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1))),
    inference(superposition,[status(thm)],[c_23265,c_19921]) ).

cnf(c_24471,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X1))
    | is_a_theorem(implies(X3,X1)) ),
    inference(superposition,[status(thm)],[c_24450,c_49]) ).

cnf(c_24475,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(superposition,[status(thm)],[c_24450,c_19921]) ).

cnf(c_24506,plain,
    is_a_theorem(implies(implies(implies(implies(X0,falsehood),X1),X2),implies(X0,X2))),
    inference(superposition,[status(thm)],[c_24475,c_19921]) ).

cnf(c_24831,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X0))
    | is_a_theorem(implies(X2,X0)) ),
    inference(superposition,[status(thm)],[c_23049,c_24471]) ).

cnf(c_25328,plain,
    is_a_theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_23265,c_24831]) ).

cnf(c_25339,plain,
    is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
    inference(superposition,[status(thm)],[c_25328,c_19921]) ).

cnf(c_25370,plain,
    is_a_theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_25328,c_23373]) ).

cnf(c_25412,plain,
    ( ~ is_a_theorem(implies(implies(X0,X0),X1))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_25370,c_23157]) ).

cnf(c_25653,plain,
    is_a_theorem(implies(implies(implies(X0,X1),implies(X2,falsehood)),implies(X2,X0))),
    inference(superposition,[status(thm)],[c_23028,c_25412]) ).

cnf(c_25714,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_25339,c_23157]) ).

cnf(c_27851,plain,
    ( ~ is_a_theorem(implies(implies(implies(X0,falsehood),X1),X2))
    | is_a_theorem(implies(X0,X2)) ),
    inference(superposition,[status(thm)],[c_24506,c_49]) ).

cnf(c_27855,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
    inference(superposition,[status(thm)],[c_24506,c_19921]) ).

cnf(c_27890,plain,
    is_a_theorem(implies(X0,implies(implies(X0,falsehood),X1))),
    inference(superposition,[status(thm)],[c_24506,c_25412]) ).

cnf(c_29960,plain,
    is_a_theorem(implies(X0,implies(implies(implies(implies(X0,falsehood),X1),falsehood),X2))),
    inference(superposition,[status(thm)],[c_27890,c_27851]) ).

cnf(c_35631,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,falsehood)))
    | is_a_theorem(implies(X2,X0)) ),
    inference(superposition,[status(thm)],[c_25653,c_49]) ).

cnf(c_40055,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X0,X1),falsehood),X2),falsehood),X0)),
    inference(superposition,[status(thm)],[c_29960,c_35631]) ).

cnf(c_46800,plain,
    is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),
    inference(superposition,[status(thm)],[c_40055,c_19921]) ).

cnf(c_48759,plain,
    ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
    | is_a_theorem(implies(X2,implies(X0,X1))) ),
    inference(superposition,[status(thm)],[c_46800,c_49]) ).

cnf(c_49498,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
    inference(superposition,[status(thm)],[c_27855,c_48759]) ).

cnf(c_50724,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
    inference(superposition,[status(thm)],[c_49498,c_25714]) ).

cnf(c_50728,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_51,c_50724]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL034-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri Aug 25 02:55:54 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 41.75/6.72  % SZS status Started for theBenchmark.p
% 41.75/6.72  % SZS status Unsatisfiable for theBenchmark.p
% 41.75/6.72  
% 41.75/6.72  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 41.75/6.72  
% 41.75/6.72  ------  iProver source info
% 41.75/6.72  
% 41.75/6.72  git: date: 2023-05-31 18:12:56 +0000
% 41.75/6.72  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 41.75/6.72  git: non_committed_changes: false
% 41.75/6.72  git: last_make_outside_of_git: false
% 41.75/6.72  
% 41.75/6.72  ------ Parsing...successful
% 41.75/6.72  
% 41.75/6.72  
% 41.75/6.72  
% 41.75/6.72  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 41.75/6.72  
% 41.75/6.72  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 41.75/6.72  ------ Proving...
% 41.75/6.72  ------ Problem Properties 
% 41.75/6.72  
% 41.75/6.72  
% 41.75/6.72  clauses                                 3
% 41.75/6.72  conjectures                             1
% 41.75/6.72  EPR                                     0
% 41.75/6.72  Horn                                    3
% 41.75/6.72  unary                                   2
% 41.75/6.72  binary                                  0
% 41.75/6.72  lits                                    5
% 41.75/6.72  lits eq                                 0
% 41.75/6.72  fd_pure                                 0
% 41.75/6.72  fd_pseudo                               0
% 41.75/6.72  fd_cond                                 0
% 41.75/6.72  fd_pseudo_cond                          0
% 41.75/6.72  AC symbols                              0
% 41.75/6.72  
% 41.75/6.72  ------ Input Options Time Limit: Unbounded
% 41.75/6.72  
% 41.75/6.72  
% 41.75/6.72  ------ 
% 41.75/6.72  Current options:
% 41.75/6.72  ------ 
% 41.75/6.72  
% 41.75/6.72  
% 41.75/6.72  
% 41.75/6.72  
% 41.75/6.72  ------ Proving...
% 41.75/6.72  
% 41.75/6.72  
% 41.75/6.72  % SZS status Unsatisfiable for theBenchmark.p
% 41.75/6.72  
% 41.75/6.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 41.75/6.72  
% 41.75/6.73  
%------------------------------------------------------------------------------