TSTP Solution File: LCL296-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL296-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 : Fri May  3 02:37:34 EDT 2024

% Result   : Unsatisfiable 3.99s 1.23s
% Output   : CNFRefutation 3.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   46 (  25 unt;   0 nHn;  16 RR)
%            Number of literals    :   69 (   9 equ;  25 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    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   92 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ theorem(equivalent(implies(p,not(q)),or(not(p),not(q)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(c_50,plain,
    and(implies(X0,X1),implies(X1,X0)) = equivalent(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).

cnf(c_51,plain,
    not(or(not(X0),not(X1))) = and(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).

cnf(c_52,plain,
    axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).

cnf(c_53,plain,
    axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).

cnf(c_54,plain,
    axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).

cnf(c_55,plain,
    axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).

cnf(c_57,plain,
    or(not(X0),X1) = implies(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

cnf(c_58,plain,
    ( ~ axiom(X0)
    | theorem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).

cnf(c_59,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(X0)
    | theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).

cnf(c_105,plain,
    not(implies(X0,not(X1))) = and(X0,X1),
    inference(demodulation,[status(thm)],[c_51,c_57]) ).

cnf(c_106,plain,
    ~ theorem(equivalent(implies(p,not(q)),implies(p,not(q)))),
    inference(demodulation,[status(thm)],[c_49,c_57]) ).

cnf(c_118,plain,
    ( implies(or(X0,X0),X0) != X1
    | theorem(X1) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_58]) ).

cnf(c_119,plain,
    theorem(implies(or(X0,X0),X0)),
    inference(unflattening,[status(thm)],[c_118]) ).

cnf(c_124,plain,
    ( implies(X0,or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_58]) ).

cnf(c_125,plain,
    theorem(implies(X0,or(X1,X0))),
    inference(unflattening,[status(thm)],[c_124]) ).

cnf(c_130,plain,
    ( implies(or(X0,X1),or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_58]) ).

cnf(c_131,plain,
    theorem(implies(or(X0,X1),or(X1,X0))),
    inference(unflattening,[status(thm)],[c_130]) ).

cnf(c_136,plain,
    ( implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))) != X3
    | theorem(X3) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_58]) ).

cnf(c_137,plain,
    theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    inference(unflattening,[status(thm)],[c_136]) ).

cnf(c_339,plain,
    theorem(implies(implies(X0,not(X0)),not(X0))),
    inference(superposition,[status(thm)],[c_57,c_119]) ).

cnf(c_349,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
    inference(superposition,[status(thm)],[c_57,c_137]) ).

cnf(c_360,plain,
    ( ~ theorem(or(X0,X0))
    | theorem(X0) ),
    inference(superposition,[status(thm)],[c_119,c_59]) ).

cnf(c_361,plain,
    ( ~ theorem(X0)
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_125,c_59]) ).

cnf(c_362,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_131,c_59]) ).

cnf(c_363,plain,
    ( ~ theorem(or(X0,or(X1,X2)))
    | theorem(or(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_137,c_59]) ).

cnf(c_388,plain,
    implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2),
    inference(superposition,[status(thm)],[c_105,c_57]) ).

cnf(c_391,plain,
    theorem(or(and(X0,X0),not(X0))),
    inference(demodulation,[status(thm)],[c_339,c_388]) ).

cnf(c_435,plain,
    theorem(or(not(X0),and(X0,X0))),
    inference(superposition,[status(thm)],[c_391,c_362]) ).

cnf(c_456,plain,
    theorem(implies(X0,and(X0,X0))),
    inference(demodulation,[status(thm)],[c_435,c_57]) ).

cnf(c_458,plain,
    ( ~ theorem(X0)
    | theorem(and(X0,X0)) ),
    inference(superposition,[status(thm)],[c_456,c_59]) ).

cnf(c_471,plain,
    ( ~ theorem(implies(X0,X0))
    | theorem(equivalent(X0,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_458]) ).

cnf(c_651,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_349,c_57]) ).

cnf(c_654,plain,
    ( ~ theorem(implies(X0,or(X1,X2)))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_651,c_59]) ).

cnf(c_745,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X0,or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_361,c_363]) ).

cnf(c_848,plain,
    ( ~ theorem(or(not(X0),X1))
    | theorem(implies(X0,or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_57,c_745]) ).

cnf(c_861,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(X0,or(X2,X1))) ),
    inference(light_normalisation,[status(thm)],[c_848,c_57]) ).

cnf(c_1013,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(X0)
    | theorem(or(X2,X1)) ),
    inference(superposition,[status(thm)],[c_861,c_59]) ).

cnf(c_1111,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X2,or(X1,X0))) ),
    inference(superposition,[status(thm)],[c_131,c_1013]) ).

cnf(c_1600,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X1,or(X2,X0))) ),
    inference(superposition,[status(thm)],[c_1111,c_363]) ).

cnf(c_1897,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X1,implies(X2,X0))) ),
    inference(superposition,[status(thm)],[c_57,c_1600]) ).

cnf(c_2213,plain,
    ( ~ theorem(or(X0,implies(X1,X0)))
    | theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_1897,c_360]) ).

cnf(c_3738,plain,
    theorem(or(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_125,c_654]) ).

cnf(c_3828,plain,
    theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_3738,c_2213]) ).

cnf(c_3832,plain,
    theorem(equivalent(X0,X0)),
    inference(backward_subsumption_resolution,[status(thm)],[c_471,c_3828]) ).

cnf(c_3833,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_106,c_3832]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL296-3 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 18:24:51 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.99/1.23  % SZS status Started for theBenchmark.p
% 3.99/1.23  % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.23  
% 3.99/1.23  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.99/1.23  
% 3.99/1.23  ------  iProver source info
% 3.99/1.23  
% 3.99/1.23  git: date: 2024-05-02 19:28:25 +0000
% 3.99/1.23  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.99/1.23  git: non_committed_changes: false
% 3.99/1.23  
% 3.99/1.23  ------ Parsing...successful
% 3.99/1.23  
% 3.99/1.23  
% 3.99/1.23  
% 3.99/1.23  ------ Preprocessing... sup_sim: 2  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 
% 3.99/1.23  
% 3.99/1.23  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.99/1.23  
% 3.99/1.23  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.99/1.23  ------ Proving...
% 3.99/1.23  ------ Problem Properties 
% 3.99/1.23  
% 3.99/1.23  
% 3.99/1.23  clauses                                 10
% 3.99/1.23  conjectures                             0
% 3.99/1.23  EPR                                     0
% 3.99/1.23  Horn                                    10
% 3.99/1.23  unary                                   9
% 3.99/1.23  binary                                  0
% 3.99/1.23  lits                                    12
% 3.99/1.23  lits eq                                 3
% 3.99/1.23  fd_pure                                 0
% 3.99/1.23  fd_pseudo                               0
% 3.99/1.23  fd_cond                                 0
% 3.99/1.23  fd_pseudo_cond                          0
% 3.99/1.23  AC symbols                              0
% 3.99/1.23  
% 3.99/1.23  ------ Schedule dynamic 5 is on 
% 3.99/1.23  
% 3.99/1.23  ------ no conjectures: strip conj schedule 
% 3.99/1.23  
% 3.99/1.23  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.99/1.23  
% 3.99/1.23  
% 3.99/1.23  ------ 
% 3.99/1.23  Current options:
% 3.99/1.23  ------ 
% 3.99/1.23  
% 3.99/1.23  
% 3.99/1.23  
% 3.99/1.23  
% 3.99/1.23  ------ Proving...
% 3.99/1.23  
% 3.99/1.23  
% 3.99/1.23  % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.23  
% 3.99/1.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.99/1.23  
% 3.99/1.23  
%------------------------------------------------------------------------------