TSTP Solution File: LCL133-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL133-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 02:36:57 EDT 2024

% Result   : Unsatisfiable 2.89s 1.11s
% Output   : CNFRefutation 2.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   20 (  20 unt;   0 nHn;   4 RR)
%            Number of literals    :   20 (  19 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   29 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    implies(X0,X1) = implies(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent) ).

cnf(c_50,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).

cnf(c_51,plain,
    implies(truth,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).

cnf(c_52,plain,
    implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_2) ).

cnf(c_53,plain,
    implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).

cnf(c_54,plain,
    implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_4) ).

cnf(c_72,plain,
    implies(implies(X0,X1),implies(not(X1),not(X0))) = truth,
    inference(demodulation,[status(thm)],[c_54,c_49]) ).

cnf(c_73,plain,
    implies(X0,implies(X1,X0)) = implies(X1,implies(X0,X1)),
    inference(demodulation,[status(thm)],[c_53,c_49]) ).

cnf(c_79,negated_conjecture,
    x != y,
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_80,negated_conjecture,
    implies(X0,X1) = implies(X1,X0),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_123,plain,
    implies(X0,implies(X0,X1)) = implies(X1,implies(X0,X1)),
    inference(superposition,[status(thm)],[c_80,c_73]) ).

cnf(c_157,plain,
    implies(implies(not(X0),not(X1)),truth) = implies(implies(X1,X0),truth),
    inference(superposition,[status(thm)],[c_72,c_123]) ).

cnf(c_196,plain,
    implies(not(X0),not(X1)) = implies(X1,X0),
    inference(demodulation,[status(thm)],[c_157,c_80,c_51]) ).

cnf(c_198,plain,
    implies(implies(X0,X1),implies(X0,X1)) = truth,
    inference(demodulation,[status(thm)],[c_72,c_196]) ).

cnf(c_230,plain,
    implies(X0,X0) = X0,
    inference(superposition,[status(thm)],[c_51,c_123]) ).

cnf(c_235,plain,
    implies(X0,truth) = X0,
    inference(superposition,[status(thm)],[c_51,c_80]) ).

cnf(c_396,plain,
    implies(X0,implies(implies(X0,X1),implies(X0,X1))) = truth,
    inference(superposition,[status(thm)],[c_230,c_52]) ).

cnf(c_404,plain,
    X0 = truth,
    inference(light_normalisation,[status(thm)],[c_396,c_198,c_235]) ).

cnf(c_409,plain,
    y != truth,
    inference(demodulation,[status(thm)],[c_79,c_404]) ).

cnf(c_412,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_409,c_404]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : LCL133-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 19:08:10 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.42  Running UEQ theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.89/1.11  % SZS status Started for theBenchmark.p
% 2.89/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 2.89/1.11  
% 2.89/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.89/1.11  
% 2.89/1.11  ------  iProver source info
% 2.89/1.11  
% 2.89/1.11  git: date: 2024-05-02 19:28:25 +0000
% 2.89/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.89/1.11  git: non_committed_changes: false
% 2.89/1.11  
% 2.89/1.11  ------ Parsing...successful
% 2.89/1.11  
% 2.89/1.11  
% 2.89/1.11  
% 2.89/1.11  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.89/1.11  
% 2.89/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.89/1.11  
% 2.89/1.11  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.89/1.11  ------ Proving...
% 2.89/1.11  ------ Problem Properties 
% 2.89/1.11  
% 2.89/1.11  
% 2.89/1.11  clauses                                 6
% 2.89/1.11  conjectures                             2
% 2.89/1.11  EPR                                     1
% 2.89/1.11  Horn                                    6
% 2.89/1.11  unary                                   6
% 2.89/1.11  binary                                  0
% 2.89/1.11  lits                                    6
% 2.89/1.11  lits eq                                 6
% 2.89/1.11  fd_pure                                 0
% 2.89/1.11  fd_pseudo                               0
% 2.89/1.11  fd_cond                                 0
% 2.89/1.11  fd_pseudo_cond                          0
% 2.89/1.11  AC symbols                              0
% 2.89/1.11  
% 2.89/1.11  ------ Input Options Time Limit: Unbounded
% 2.89/1.11  
% 2.89/1.11  
% 2.89/1.11  ------ 
% 2.89/1.11  Current options:
% 2.89/1.11  ------ 
% 2.89/1.11  
% 2.89/1.11  
% 2.89/1.11  
% 2.89/1.11  
% 2.89/1.11  ------ Proving...
% 2.89/1.11  
% 2.89/1.11  
% 2.89/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 2.89/1.11  
% 2.89/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.89/1.11  
% 2.89/1.11  
%------------------------------------------------------------------------------