TSTP Solution File: LAT394-2 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LAT394-2 : TPTP v8.1.2. Released v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 02:35:40 EDT 2024

% Result   : Unsatisfiable 4.17s 1.12s
% Output   : CNFRefutation 4.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   33 (  33 unt;   0 nHn;   2 RR)
%            Number of literals    :   33 (  32 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   79 (  21 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).

cnf(c_50,negated_conjecture,
    f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(c_90,plain,
    f(X0,f(f(X0,X1),f(f(f(X0,X1),f(f(f(X2,X0),f(X2,X0)),f(X2,X0))),X3))) = f(X0,X1),
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_100,plain,
    f(f(X0,X1),f(f(f(X0,X1),f(X1,X2)),X1)) = f(f(X0,X1),f(X1,X2)),
    inference(superposition,[status(thm)],[c_49,c_90]) ).

cnf(c_130,plain,
    f(f(f(f(X0,X1),f(X1,X2)),X1),f(X1,X1)) = X1,
    inference(superposition,[status(thm)],[c_49,c_100]) ).

cnf(c_175,plain,
    f(f(X0,X0),f(X0,X0)) = X0,
    inference(superposition,[status(thm)],[c_130,c_130]) ).

cnf(c_197,plain,
    f(f(X0,X1),f(X0,f(f(X0,f(f(X0,X0),X0)),X0))) = X0,
    inference(superposition,[status(thm)],[c_175,c_49]) ).

cnf(c_291,plain,
    f(f(X0,X1),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
    inference(superposition,[status(thm)],[c_197,c_49]) ).

cnf(c_294,plain,
    f(X0,f(f(X0,f(f(X0,X0),X0)),X0)) = f(X0,X0),
    inference(superposition,[status(thm)],[c_197,c_175]) ).

cnf(c_299,plain,
    f(X0,f(f(X0,X1),f(X0,X1))) = f(X0,X1),
    inference(superposition,[status(thm)],[c_197,c_90]) ).

cnf(c_305,plain,
    f(f(X0,X1),f(X0,X0)) = X0,
    inference(demodulation,[status(thm)],[c_197,c_294]) ).

cnf(c_387,plain,
    f(X0,f(f(X1,X0),f(X1,X0))) = f(X1,X0),
    inference(superposition,[status(thm)],[c_291,c_305]) ).

cnf(c_396,plain,
    f(f(X0,X1),f(X1,X1)) = X1,
    inference(superposition,[status(thm)],[c_291,c_100]) ).

cnf(c_669,plain,
    f(f(X0,f(X1,X1)),X1) = f(X1,X1),
    inference(superposition,[status(thm)],[c_396,c_396]) ).

cnf(c_764,plain,
    f(f(X0,f(f(X0,f(f(X1,X1),X1)),X2)),f(X0,f(f(X0,f(f(X1,X1),X1)),X2))) = X0,
    inference(superposition,[status(thm)],[c_669,c_49]) ).

cnf(c_797,plain,
    f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,X1)) = X1,
    inference(superposition,[status(thm)],[c_49,c_299]) ).

cnf(c_881,plain,
    f(f(X0,f(f(X1,X2),f(X2,X3))),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = X2,
    inference(superposition,[status(thm)],[c_387,c_49]) ).

cnf(c_997,plain,
    f(f(f(X0,X1),f(X1,X1)),f(f(X1,X1),X2)) = f(f(f(X0,X1),f(X1,X1)),X1),
    inference(superposition,[status(thm)],[c_797,c_100]) ).

cnf(c_1007,plain,
    f(X0,f(f(X0,X0),X1)) = f(X0,X0),
    inference(light_normalisation,[status(thm)],[c_997,c_396]) ).

cnf(c_1183,plain,
    f(X0,f(f(X1,X0),f(f(f(X1,X0),f(f(X2,X2),X2)),f(X0,X3)))) = f(X1,X0),
    inference(superposition,[status(thm)],[c_881,c_49]) ).

cnf(c_1362,plain,
    f(f(X0,X0),f(X0,X1)) = X0,
    inference(superposition,[status(thm)],[c_396,c_1007]) ).

cnf(c_1473,plain,
    f(f(X0,X0),f(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_1183,c_1362]) ).

cnf(c_1561,plain,
    f(f(f(X0,f(f(X0,f(f(X1,X1),X1)),X2)),f(X0,f(f(X0,f(f(X1,X1),X1)),X2))),X0) = f(X0,f(f(X0,f(f(X1,X1),X1)),X2)),
    inference(superposition,[status(thm)],[c_881,c_1473]) ).

cnf(c_1629,plain,
    f(X0,f(f(X0,f(f(X1,X1),X1)),X2)) = f(X0,X0),
    inference(light_normalisation,[status(thm)],[c_1561,c_764]) ).

cnf(c_2183,plain,
    f(X0,f(f(X1,X1),X1)) = f(X0,X0),
    inference(superposition,[status(thm)],[c_1629,c_299]) ).

cnf(c_2357,plain,
    f(X0,f(X1,f(X1,X1))) = f(X0,X0),
    inference(superposition,[status(thm)],[c_1362,c_2183]) ).

cnf(c_2420,plain,
    f(f(X0,f(f(X1,X1),X1)),f(X2,X0)) = X0,
    inference(superposition,[status(thm)],[c_2183,c_1473]) ).

cnf(c_2436,plain,
    f(f(X0,X1),f(X1,f(f(X2,X2),X2))) = X1,
    inference(superposition,[status(thm)],[c_2183,c_396]) ).

cnf(c_2574,plain,
    f(f(X0,X0),f(X1,f(X1,X1))) = X0,
    inference(superposition,[status(thm)],[c_2357,c_1362]) ).

cnf(c_4552,plain,
    f(f(X0,X0),X0) = f(f(X1,X1),X1),
    inference(superposition,[status(thm)],[c_2436,c_2420]) ).

cnf(c_4715,plain,
    f(f(X0,X0),X0) = f(X1,f(X1,X1)),
    inference(superposition,[status(thm)],[c_4552,c_2574]) ).

cnf(c_4820,plain,
    f(X0,f(X0,X0)) = f(X1,f(X1,X1)),
    inference(superposition,[status(thm)],[c_4715,c_2574]) ).

cnf(c_5198,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_50,c_4820]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : LAT394-2 : TPTP v8.1.2. Released v5.4.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.31  % Computer : n010.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Thu May  2 17:59:19 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.42  Running UEQ theorem proving
% 0.17/0.42  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
% 4.17/1.12  % SZS status Started for theBenchmark.p
% 4.17/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 4.17/1.12  
% 4.17/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.17/1.12  
% 4.17/1.12  ------  iProver source info
% 4.17/1.12  
% 4.17/1.12  git: date: 2024-05-02 19:28:25 +0000
% 4.17/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.17/1.12  git: non_committed_changes: false
% 4.17/1.12  
% 4.17/1.12  ------ Parsing...successful
% 4.17/1.12  
% 4.17/1.12  
% 4.17/1.12  
% 4.17/1.12  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.17/1.12  
% 4.17/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.17/1.12  
% 4.17/1.12  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 4.17/1.12  ------ Proving...
% 4.17/1.12  ------ Problem Properties 
% 4.17/1.12  
% 4.17/1.12  
% 4.17/1.12  clauses                                 2
% 4.17/1.12  conjectures                             1
% 4.17/1.12  EPR                                     0
% 4.17/1.12  Horn                                    2
% 4.17/1.12  unary                                   2
% 4.17/1.12  binary                                  0
% 4.17/1.12  lits                                    2
% 4.17/1.12  lits eq                                 2
% 4.17/1.12  fd_pure                                 0
% 4.17/1.12  fd_pseudo                               0
% 4.17/1.12  fd_cond                                 0
% 4.17/1.12  fd_pseudo_cond                          0
% 4.17/1.12  AC symbols                              0
% 4.17/1.12  
% 4.17/1.12  ------ Input Options Time Limit: Unbounded
% 4.17/1.12  
% 4.17/1.12  
% 4.17/1.12  ------ 
% 4.17/1.12  Current options:
% 4.17/1.12  ------ 
% 4.17/1.12  
% 4.17/1.12  
% 4.17/1.12  
% 4.17/1.12  
% 4.17/1.12  ------ Proving...
% 4.17/1.12  
% 4.17/1.12  
% 4.17/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 4.17/1.12  
% 4.17/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.17/1.12  
% 4.17/1.12  
%------------------------------------------------------------------------------