TSTP Solution File: LCL231-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL231-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 07:43:23 EDT 2023

% Result   : Unsatisfiable 141.83s 19.78s
% Output   : CNFRefutation 141.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   45 (  29 unt;   0 nHn;  16 RR)
%            Number of literals    :   64 (   5 equ;  20 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  114 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ theorem(implies(implies(implies(p,q),implies(p,r)),implies(p,implies(q,r)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(c_50,plain,
    axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).

cnf(c_51,plain,
    axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).

cnf(c_53,plain,
    axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).

cnf(c_54,plain,
    axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

cnf(c_55,plain,
    or(not(X0),X1) = implies(X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

cnf(c_56,plain,
    ( ~ axiom(X0)
    | theorem(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).

cnf(c_57,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(X0)
    | theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).

cnf(c_96,plain,
    ( implies(or(X0,X0),X0) != X1
    | theorem(X1) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).

cnf(c_97,plain,
    theorem(implies(or(X0,X0),X0)),
    inference(unflattening,[status(thm)],[c_96]) ).

cnf(c_102,plain,
    ( implies(X0,or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_56]) ).

cnf(c_103,plain,
    theorem(implies(X0,or(X1,X0))),
    inference(unflattening,[status(thm)],[c_102]) ).

cnf(c_114,plain,
    ( implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))) != X3
    | theorem(X3) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_56]) ).

cnf(c_115,plain,
    theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    inference(unflattening,[status(thm)],[c_114]) ).

cnf(c_120,plain,
    ( implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))) != X3
    | theorem(X3) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_56]) ).

cnf(c_121,plain,
    theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    inference(unflattening,[status(thm)],[c_120]) ).

cnf(c_274,plain,
    theorem(implies(or(not(X0),or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_55,c_115]) ).

cnf(c_275,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_274,c_55]) ).

cnf(c_365,plain,
    theorem(implies(implies(X0,or(not(X1),X2)),implies(X1,implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_55,c_275]) ).

cnf(c_367,plain,
    theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_365,c_55]) ).

cnf(c_515,plain,
    ( ~ theorem(implies(X0,implies(X1,X2)))
    | theorem(implies(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_367,c_57]) ).

cnf(c_549,plain,
    theorem(implies(implies(X0,X1),implies(or(not(X2),X0),implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_55,c_121]) ).

cnf(c_552,plain,
    theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(demodulation,[status(thm)],[c_549,c_55]) ).

cnf(c_565,plain,
    theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_552,c_515]) ).

cnf(c_1517,plain,
    theorem(implies(implies(X0,X1),implies(or(not(X2),X0),implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_55,c_121]) ).

cnf(c_1519,plain,
    theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(demodulation,[status(thm)],[c_1517,c_55]) ).

cnf(c_1523,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(implies(X2,X0),implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_1519,c_57]) ).

cnf(c_1524,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(implies(X2,X0))
    | theorem(implies(X2,X1)) ),
    inference(superposition,[status(thm)],[c_1523,c_57]) ).

cnf(c_1561,plain,
    ( ~ theorem(implies(X0,implies(X1,implies(X2,X3))))
    | theorem(implies(X0,implies(X2,implies(X1,X3)))) ),
    inference(superposition,[status(thm)],[c_367,c_1524]) ).

cnf(c_1609,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_565,c_57]) ).

cnf(c_2676,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(implies(X1,X2))
    | theorem(implies(X0,X2)) ),
    inference(superposition,[status(thm)],[c_1609,c_57]) ).

cnf(c_2735,plain,
    ( ~ theorem(implies(or(X0,X1),X2))
    | theorem(implies(X1,X2)) ),
    inference(superposition,[status(thm)],[c_103,c_2676]) ).

cnf(c_12635,plain,
    ( ~ theorem(or(X0,X0))
    | theorem(X0) ),
    inference(superposition,[status(thm)],[c_97,c_57]) ).

cnf(c_12640,plain,
    ( ~ theorem(implies(X0,implies(X1,X2)))
    | theorem(implies(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_367,c_57]) ).

cnf(c_12658,plain,
    ( ~ theorem(implies(X0,or(X1,X2)))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_275,c_57]) ).

cnf(c_12949,plain,
    theorem(or(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_103,c_12658]) ).

cnf(c_12977,plain,
    theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_12949,c_12635]) ).

cnf(c_12984,plain,
    theorem(or(X0,implies(or(X0,X1),X1))),
    inference(superposition,[status(thm)],[c_12977,c_12658]) ).

cnf(c_13064,plain,
    theorem(or(not(X0),implies(implies(X0,X1),X1))),
    inference(superposition,[status(thm)],[c_55,c_12984]) ).

cnf(c_13069,plain,
    theorem(implies(X0,implies(implies(X0,X1),X1))),
    inference(demodulation,[status(thm)],[c_13064,c_55]) ).

cnf(c_26488,plain,
    theorem(implies(X0,implies(implies(or(X1,X0),X2),X2))),
    inference(superposition,[status(thm)],[c_13069,c_2735]) ).

cnf(c_30480,plain,
    theorem(implies(X0,implies(implies(implies(X1,X0),X2),X2))),
    inference(superposition,[status(thm)],[c_55,c_26488]) ).

cnf(c_31064,plain,
    theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(superposition,[status(thm)],[c_30480,c_12640]) ).

cnf(c_36396,plain,
    theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X2,implies(X1,X3)))),
    inference(superposition,[status(thm)],[c_31064,c_1561]) ).

cnf(c_36397,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_49,c_36396]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL231-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n020.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 : Fri Aug 25 04:54:30 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
% 141.83/19.78  % SZS status Started for theBenchmark.p
% 141.83/19.78  % SZS status Unsatisfiable for theBenchmark.p
% 141.83/19.78  
% 141.83/19.78  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 141.83/19.78  
% 141.83/19.78  ------  iProver source info
% 141.83/19.78  
% 141.83/19.78  git: date: 2023-05-31 18:12:56 +0000
% 141.83/19.78  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 141.83/19.78  git: non_committed_changes: false
% 141.83/19.78  git: last_make_outside_of_git: false
% 141.83/19.78  
% 141.83/19.78  ------ Parsing...successful
% 141.83/19.78  
% 141.83/19.78  
% 141.83/19.78  
% 141.83/19.78  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 141.83/19.78  
% 141.83/19.78  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 141.83/19.78  
% 141.83/19.78  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 141.83/19.78  ------ Proving...
% 141.83/19.78  ------ Problem Properties 
% 141.83/19.78  
% 141.83/19.78  
% 141.83/19.78  clauses                                 8
% 141.83/19.78  conjectures                             1
% 141.83/19.78  EPR                                     0
% 141.83/19.78  Horn                                    8
% 141.83/19.78  unary                                   7
% 141.83/19.78  binary                                  0
% 141.83/19.78  lits                                    10
% 141.83/19.78  lits eq                                 1
% 141.83/19.78  fd_pure                                 0
% 141.83/19.78  fd_pseudo                               0
% 141.83/19.78  fd_cond                                 0
% 141.83/19.78  fd_pseudo_cond                          0
% 141.83/19.78  AC symbols                              0
% 141.83/19.78  
% 141.83/19.78  ------ Input Options Time Limit: Unbounded
% 141.83/19.78  
% 141.83/19.78  
% 141.83/19.78  ------ 
% 141.83/19.78  Current options:
% 141.83/19.78  ------ 
% 141.83/19.78  
% 141.83/19.78  
% 141.83/19.78  
% 141.83/19.78  
% 141.83/19.78  ------ Proving...
% 141.83/19.78  
% 141.83/19.78  
% 141.83/19.78  % SZS status Unsatisfiable for theBenchmark.p
% 141.83/19.78  
% 141.83/19.78  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 141.83/19.78  
% 141.83/19.78  
%------------------------------------------------------------------------------