TSTP Solution File: SYN334-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN334-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 03:30:09 EDT 2024

% Result   : Unsatisfiable 1.98s 1.18s
% Output   : CNFRefutation 1.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   42 (   1 unt;  15 nHn;  33 RR)
%            Number of literals    :  100 (   0 equ;  57 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   56 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( ~ g(X0,z(X1,X0))
    | ~ f(X1,X0)
    | f(X1,z(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(c_50,negated_conjecture,
    ( ~ f(X0,z(X0,X1))
    | ~ f(X0,X1)
    | g(X1,z(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

cnf(c_51,negated_conjecture,
    ( ~ f(z(X0,X1),z(X0,X1))
    | ~ f(X0,X1)
    | g(z(X0,X1),z(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

cnf(c_52,negated_conjecture,
    ( f(z(X0,X1),z(X0,X1))
    | f(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

cnf(c_53,negated_conjecture,
    ( ~ g(z(X0,X1),z(X0,X1))
    | f(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

cnf(c_54,negated_conjecture,
    ( g(z(X0,X1),z(X0,X1))
    | g(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

cnf(c_55,negated_conjecture,
    ( ~ g(z(X0,X1),z(X0,X1))
    | ~ g(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

cnf(c_57,plain,
    ( f(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))
    | f(iProver_bot,iProver_bot) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_60,plain,
    ( ~ f(iProver_bot,z(iProver_bot,iProver_bot))
    | ~ f(iProver_bot,iProver_bot)
    | g(iProver_bot,z(iProver_bot,iProver_bot)) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_63,plain,
    ( ~ g(X0,X1)
    | ~ g(z(X0,X1),z(X0,X1)) ),
    inference(prop_impl_just,[status(thm)],[c_55]) ).

cnf(c_64,plain,
    ( ~ g(z(X0,X1),z(X0,X1))
    | ~ g(X0,X1) ),
    inference(renaming,[status(thm)],[c_63]) ).

cnf(c_69,plain,
    ( f(X0,X1)
    | g(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_54,c_53]) ).

cnf(c_90,negated_conjecture,
    ( ~ f(z(X0,X1),z(X0,X1))
    | ~ f(X0,X1)
    | ~ g(X0,X1) ),
    inference(bin_hyper_res,[status(thm)],[c_51,c_64]) ).

cnf(c_127,negated_conjecture,
    ( ~ f(z(X0,X1),z(X0,X1))
    | ~ f(X0,X1)
    | ~ g(X0,X1) ),
    inference(demodulation,[status(thm)],[c_90]) ).

cnf(c_128,negated_conjecture,
    ( ~ g(z(X0,X1),z(X0,X1))
    | ~ g(X0,X1) ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_130,negated_conjecture,
    ( f(z(X0,X1),z(X0,X1))
    | f(X0,X1) ),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_131,negated_conjecture,
    ( ~ f(X0,z(X0,X1))
    | ~ f(X0,X1)
    | g(X1,z(X0,X1)) ),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_132,negated_conjecture,
    ( ~ g(X0,z(X1,X0))
    | ~ f(X1,X0)
    | f(X1,z(X1,X0)) ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_137,plain,
    ( ~ f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
    | ~ f(z(X0,X1),z(X0,X1))
    | g(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_131]) ).

cnf(c_138,plain,
    ( ~ f(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)))
    | ~ f(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))
    | g(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))) ),
    inference(instantiation,[status(thm)],[c_137]) ).

cnf(c_139,plain,
    ( ~ g(z(X0,X1),z(z(X0,X1),z(X0,X1)))
    | ~ f(z(X0,X1),z(X0,X1))
    | f(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_132]) ).

cnf(c_140,plain,
    ( ~ g(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)))
    | ~ f(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))
    | f(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))) ),
    inference(instantiation,[status(thm)],[c_139]) ).

cnf(c_141,plain,
    ( f(z(X0,X1),z(X0,X1))
    | g(z(X0,X1),z(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_153,plain,
    ( ~ f(z(z(X0,X1),z(z(X0,X1),z(X0,X1))),z(z(X0,X1),z(z(X0,X1),z(X0,X1))))
    | ~ f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
    | ~ g(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_127]) ).

cnf(c_154,plain,
    ( ~ f(z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))),z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))))
    | ~ f(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)))
    | ~ g(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))) ),
    inference(instantiation,[status(thm)],[c_153]) ).

cnf(c_162,plain,
    ( f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
    | g(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_165,plain,
    ( f(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)))
    | g(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_177,plain,
    ( ~ g(z(z(X0,X1),z(z(X0,X1),z(X0,X1))),z(z(X0,X1),z(z(X0,X1),z(X0,X1))))
    | ~ g(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_128]) ).

cnf(c_178,plain,
    ( ~ g(z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))),z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))))
    | ~ g(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))) ),
    inference(instantiation,[status(thm)],[c_177]) ).

cnf(c_192,plain,
    ( f(z(z(X0,X1),z(z(X0,X1),z(X0,X1))),z(z(X0,X1),z(z(X0,X1),z(X0,X1))))
    | g(z(z(X0,X1),z(z(X0,X1),z(X0,X1))),z(z(X0,X1),z(z(X0,X1),z(X0,X1)))) ),
    inference(instantiation,[status(thm)],[c_141]) ).

cnf(c_193,plain,
    ( f(z(z(X0,X1),z(z(X0,X1),z(X0,X1))),z(z(X0,X1),z(z(X0,X1),z(X0,X1))))
    | f(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_130]) ).

cnf(c_194,plain,
    ( f(z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))),z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))))
    | f(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))) ),
    inference(instantiation,[status(thm)],[c_193]) ).

cnf(c_195,plain,
    ( f(z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))),z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))))
    | g(z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))),z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)))) ),
    inference(instantiation,[status(thm)],[c_192]) ).

cnf(c_364,plain,
    ( ~ f(X0,X1)
    | f(X0,z(X0,X1))
    | f(X1,z(X0,X1)) ),
    inference(superposition,[status(thm)],[c_69,c_132]) ).

cnf(c_373,plain,
    ( ~ f(iProver_bot,iProver_bot)
    | f(iProver_bot,z(iProver_bot,iProver_bot)) ),
    inference(instantiation,[status(thm)],[c_364]) ).

cnf(c_396,plain,
    ( ~ f(z(X0,z(X1,X0)),z(X0,z(X1,X0)))
    | ~ f(X0,z(X1,X0))
    | ~ g(X0,z(X1,X0)) ),
    inference(instantiation,[status(thm)],[c_127]) ).

cnf(c_397,plain,
    ( ~ g(z(X0,z(X1,X0)),z(X0,z(X1,X0)))
    | ~ g(X0,z(X1,X0)) ),
    inference(instantiation,[status(thm)],[c_128]) ).

cnf(c_398,plain,
    ( ~ g(z(iProver_bot,z(iProver_bot,iProver_bot)),z(iProver_bot,z(iProver_bot,iProver_bot)))
    | ~ g(iProver_bot,z(iProver_bot,iProver_bot)) ),
    inference(instantiation,[status(thm)],[c_397]) ).

cnf(c_399,plain,
    ( ~ f(z(iProver_bot,z(iProver_bot,iProver_bot)),z(iProver_bot,z(iProver_bot,iProver_bot)))
    | ~ f(iProver_bot,z(iProver_bot,iProver_bot))
    | ~ g(iProver_bot,z(iProver_bot,iProver_bot)) ),
    inference(instantiation,[status(thm)],[c_396]) ).

cnf(c_492,plain,
    ( f(z(X0,z(X1,X0)),z(X0,z(X1,X0)))
    | g(z(X0,z(X1,X0)),z(X0,z(X1,X0))) ),
    inference(instantiation,[status(thm)],[c_141]) ).

cnf(c_497,plain,
    ( f(z(iProver_bot,z(iProver_bot,iProver_bot)),z(iProver_bot,z(iProver_bot,iProver_bot)))
    | g(z(iProver_bot,z(iProver_bot,iProver_bot)),z(iProver_bot,z(iProver_bot,iProver_bot))) ),
    inference(instantiation,[status(thm)],[c_492]) ).

cnf(c_498,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_497,c_399,c_398,c_373,c_195,c_194,c_178,c_165,c_154,c_140,c_138,c_60,c_57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN334-1 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n027.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 21:27:20 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
% 1.98/1.18  % SZS status Started for theBenchmark.p
% 1.98/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 1.98/1.18  
% 1.98/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.98/1.18  
% 1.98/1.18  ------  iProver source info
% 1.98/1.18  
% 1.98/1.18  git: date: 2024-05-02 19:28:25 +0000
% 1.98/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.98/1.18  git: non_committed_changes: false
% 1.98/1.18  
% 1.98/1.18  ------ Parsing...successful
% 1.98/1.18  
% 1.98/1.18  
% 1.98/1.18  
% 1.98/1.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.98/1.18  
% 1.98/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.98/1.18  ------ Proving...
% 1.98/1.18  ------ Problem Properties 
% 1.98/1.18  
% 1.98/1.18  
% 1.98/1.18  clauses                                 7
% 1.98/1.18  conjectures                             6
% 1.98/1.18  EPR                                     1
% 1.98/1.18  Horn                                    4
% 1.98/1.18  unary                                   0
% 1.98/1.18  binary                                  4
% 1.98/1.18  lits                                    17
% 1.98/1.18  lits eq                                 0
% 1.98/1.18  fd_pure                                 0
% 1.98/1.18  fd_pseudo                               0
% 1.98/1.18  fd_cond                                 0
% 1.98/1.18  fd_pseudo_cond                          0
% 1.98/1.18  AC symbols                              0
% 1.98/1.18  
% 1.98/1.18  ------ Schedule dynamic 5 is on 
% 1.98/1.18  
% 1.98/1.18  ------ no equalities: superposition off 
% 1.98/1.18  
% 1.98/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.98/1.18  
% 1.98/1.18  
% 1.98/1.18  ------ 
% 1.98/1.18  Current options:
% 1.98/1.18  ------ 
% 1.98/1.18  
% 1.98/1.18  
% 1.98/1.18  
% 1.98/1.18  
% 1.98/1.18  ------ Proving...
% 1.98/1.18  
% 1.98/1.18  
% 1.98/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 1.98/1.18  
% 1.98/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.98/1.18  
% 1.98/1.19  
%------------------------------------------------------------------------------