TSTP Solution File: LCL096-10 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL096-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 : Mon Jun 24 11:04:08 EDT 2024

% Result   : Unsatisfiable 46.66s 6.76s
% Output   : CNFRefutation 46.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   21 (  21 unt;   0 nHn;   2 RR)
%            Number of literals    :   21 (  20 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   :   89 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(c_50,plain,
    ifeq(is_a_theorem(equivalent(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(c_51,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_2) ).

cnf(c_52,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_3) ).

cnf(c_53,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3)))) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_4) ).

cnf(c_54,negated_conjecture,
    is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)) != true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_1) ).

cnf(c_127,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_50]) ).

cnf(c_130,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_50]) ).

cnf(c_138,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4)),true,is_a_theorem(X4),true) = true,
    inference(demodulation,[status(thm)],[c_127,c_49]) ).

cnf(c_140,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5)),true,is_a_theorem(X5),true) = true,
    inference(demodulation,[status(thm)],[c_130,c_49]) ).

cnf(c_186,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4))),true) = true,
    inference(superposition,[status(thm)],[c_53,c_138]) ).

cnf(c_201,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5))),true) = true,
    inference(superposition,[status(thm)],[c_53,c_140]) ).

cnf(c_209,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4))) = true,
    inference(demodulation,[status(thm)],[c_186,c_49]) ).

cnf(c_211,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5))) = true,
    inference(demodulation,[status(thm)],[c_201,c_49]) ).

cnf(c_389,plain,
    ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4)),true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4)),true),true) = true,
    inference(superposition,[status(thm)],[c_209,c_50]) ).

cnf(c_419,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4),X4)),true) = true,
    inference(superposition,[status(thm)],[c_211,c_140]) ).

cnf(c_460,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4),X4)) = true,
    inference(demodulation,[status(thm)],[c_419,c_49]) ).

cnf(c_469,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4)),true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4)),true) = true,
    inference(demodulation,[status(thm)],[c_389,c_49]) ).

cnf(c_3553,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2),X2)),true) = true,
    inference(superposition,[status(thm)],[c_460,c_469]) ).

cnf(c_4387,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2),X2)) = true,
    inference(demodulation,[status(thm)],[c_3553,c_49]) ).

cnf(c_7459,plain,
    $false,
    inference(superposition,[status(thm)],[c_4387,c_54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : LCL096-10 : TPTP v8.2.0. Released v7.3.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n023.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 : Sat Jun 22 16:22:24 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.22/0.48  Running UEQ theorem proving
% 0.22/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 46.66/6.76  % SZS status Started for theBenchmark.p
% 46.66/6.76  % SZS status Unsatisfiable for theBenchmark.p
% 46.66/6.76  
% 46.66/6.76  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 46.66/6.76  
% 46.66/6.76  ------  iProver source info
% 46.66/6.76  
% 46.66/6.76  git: date: 2024-06-12 09:56:46 +0000
% 46.66/6.76  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 46.66/6.76  git: non_committed_changes: false
% 46.66/6.76  
% 46.66/6.76  ------ Parsing...successful
% 46.66/6.76  
% 46.66/6.76  
% 46.66/6.76  
% 46.66/6.76  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 46.66/6.76  
% 46.66/6.76  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 46.66/6.76  
% 46.66/6.76  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 46.66/6.76  ------ Proving...
% 46.66/6.76  ------ Problem Properties 
% 46.66/6.76  
% 46.66/6.76  
% 46.66/6.76  clauses                                 6
% 46.66/6.76  conjectures                             1
% 46.66/6.76  EPR                                     0
% 46.66/6.76  Horn                                    6
% 46.66/6.76  unary                                   6
% 46.66/6.76  binary                                  0
% 46.66/6.76  lits                                    6
% 46.66/6.76  lits eq                                 6
% 46.66/6.76  fd_pure                                 0
% 46.66/6.76  fd_pseudo                               0
% 46.66/6.76  fd_cond                                 0
% 46.66/6.76  fd_pseudo_cond                          0
% 46.66/6.76  AC symbols                              0
% 46.66/6.76  
% 46.66/6.76  ------ Input Options Time Limit: Unbounded
% 46.66/6.76  
% 46.66/6.76  
% 46.66/6.76  ------ 
% 46.66/6.76  Current options:
% 46.66/6.76  ------ 
% 46.66/6.76  
% 46.66/6.76  
% 46.66/6.76  
% 46.66/6.76  
% 46.66/6.76  ------ Proving...
% 46.66/6.76  
% 46.66/6.76  
% 46.66/6.76  % SZS status Unsatisfiable for theBenchmark.p
% 46.66/6.76  
% 46.66/6.76  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 46.66/6.76  
% 46.66/6.76  
%------------------------------------------------------------------------------