TSTP Solution File: SYN012-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN012-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 Sep  1 03:04:42 EDT 2023

% Result   : Unsatisfiable 1.77s 1.21s
% Output   : CNFRefutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   35 (   1 unt;  12 nHn;  28 RR)
%            Number of literals    :   83 (   0 equ;  48 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 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   :   44 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( ~ big_f(X0,g(X0,X1))
    | ~ big_f(X0,X1)
    | big_g(X1,g(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

cnf(c_50,negated_conjecture,
    ( ~ big_g(X0,g(X1,X0))
    | ~ big_f(X1,X0)
    | big_f(X1,g(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

cnf(c_51,negated_conjecture,
    ( ~ big_f(g(X0,X1),g(X0,X1))
    | ~ big_f(X0,X1)
    | big_g(g(X0,X1),g(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

cnf(c_52,negated_conjecture,
    ( big_f(g(X0,X1),g(X0,X1))
    | big_f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

cnf(c_53,negated_conjecture,
    ( ~ big_g(g(X0,X1),g(X0,X1))
    | big_f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

cnf(c_54,negated_conjecture,
    ( big_g(g(X0,X1),g(X0,X1))
    | big_g(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

cnf(c_55,negated_conjecture,
    ( ~ big_g(g(X0,X1),g(X0,X1))
    | ~ big_g(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

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

cnf(c_61,plain,
    ( ~ big_f(iProver_bot,g(iProver_bot,iProver_bot))
    | ~ big_f(iProver_bot,iProver_bot)
    | big_g(iProver_bot,g(iProver_bot,iProver_bot)) ),
    inference(instantiation,[status(thm)],[c_49]) ).

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

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

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

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

cnf(c_129,plain,
    ( ~ big_f(g(X0,X1),g(g(X0,X1),g(X0,X1)))
    | ~ big_f(g(X0,X1),g(X0,X1))
    | big_g(g(X0,X1),g(g(X0,X1),g(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_130,plain,
    ( ~ big_f(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot)))
    | ~ big_f(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot))
    | big_g(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot))) ),
    inference(instantiation,[status(thm)],[c_129]) ).

cnf(c_131,plain,
    ( ~ big_g(g(X0,X1),g(g(X0,X1),g(X0,X1)))
    | ~ big_f(g(X0,X1),g(X0,X1))
    | big_f(g(X0,X1),g(g(X0,X1),g(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_132,plain,
    ( ~ big_g(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot)))
    | ~ big_f(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot))
    | big_f(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot))) ),
    inference(instantiation,[status(thm)],[c_131]) ).

cnf(c_135,plain,
    ( big_f(g(X0,X1),g(X0,X1))
    | big_g(g(X0,X1),g(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_142,plain,
    ( ~ big_f(g(g(X0,X1),g(g(X0,X1),g(X0,X1))),g(g(X0,X1),g(g(X0,X1),g(X0,X1))))
    | ~ big_f(g(X0,X1),g(g(X0,X1),g(X0,X1)))
    | ~ big_g(g(X0,X1),g(g(X0,X1),g(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_90]) ).

cnf(c_145,plain,
    ( ~ big_f(g(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot))),g(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot))))
    | ~ big_f(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot)))
    | ~ big_g(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot))) ),
    inference(instantiation,[status(thm)],[c_142]) ).

cnf(c_152,plain,
    ( big_f(g(X0,X1),g(g(X0,X1),g(X0,X1)))
    | big_g(g(X0,X1),g(g(X0,X1),g(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_155,plain,
    ( big_f(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot)))
    | big_g(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot))) ),
    inference(instantiation,[status(thm)],[c_152]) ).

cnf(c_162,plain,
    ( ~ big_g(g(g(X0,X1),g(g(X0,X1),g(X0,X1))),g(g(X0,X1),g(g(X0,X1),g(X0,X1))))
    | ~ big_g(g(X0,X1),g(g(X0,X1),g(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_163,plain,
    ( ~ big_g(g(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot))),g(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot))))
    | ~ big_g(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot))) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_172,plain,
    ( big_f(g(g(X0,X1),g(g(X0,X1),g(X0,X1))),g(g(X0,X1),g(g(X0,X1),g(X0,X1))))
    | big_g(g(g(X0,X1),g(g(X0,X1),g(X0,X1))),g(g(X0,X1),g(g(X0,X1),g(X0,X1)))) ),
    inference(instantiation,[status(thm)],[c_135]) ).

cnf(c_175,plain,
    ( big_f(g(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot))),g(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot))))
    | big_g(g(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot))),g(g(iProver_bot,iProver_bot),g(g(iProver_bot,iProver_bot),g(iProver_bot,iProver_bot)))) ),
    inference(instantiation,[status(thm)],[c_172]) ).

cnf(c_326,plain,
    ( ~ big_f(g(X0,g(X1,X0)),g(X0,g(X1,X0)))
    | ~ big_f(X0,g(X1,X0))
    | ~ big_g(X0,g(X1,X0)) ),
    inference(instantiation,[status(thm)],[c_90]) ).

cnf(c_327,plain,
    ( ~ big_g(g(X0,g(X1,X0)),g(X0,g(X1,X0)))
    | ~ big_g(X0,g(X1,X0)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_328,plain,
    ( ~ big_g(g(iProver_bot,g(iProver_bot,iProver_bot)),g(iProver_bot,g(iProver_bot,iProver_bot)))
    | ~ big_g(iProver_bot,g(iProver_bot,iProver_bot)) ),
    inference(instantiation,[status(thm)],[c_327]) ).

cnf(c_329,plain,
    ( ~ big_f(g(iProver_bot,g(iProver_bot,iProver_bot)),g(iProver_bot,g(iProver_bot,iProver_bot)))
    | ~ big_f(iProver_bot,g(iProver_bot,iProver_bot))
    | ~ big_g(iProver_bot,g(iProver_bot,iProver_bot)) ),
    inference(instantiation,[status(thm)],[c_326]) ).

cnf(c_353,plain,
    ( ~ big_f(X0,X1)
    | big_f(X0,g(X0,X1))
    | big_f(X1,g(X0,X1)) ),
    inference(superposition,[status(thm)],[c_69,c_50]) ).

cnf(c_362,plain,
    ( ~ big_f(iProver_bot,iProver_bot)
    | big_f(iProver_bot,g(iProver_bot,iProver_bot)) ),
    inference(instantiation,[status(thm)],[c_353]) ).

cnf(c_419,plain,
    ( big_f(g(X0,g(X1,X0)),g(X0,g(X1,X0)))
    | big_g(g(X0,g(X1,X0)),g(X0,g(X1,X0))) ),
    inference(instantiation,[status(thm)],[c_135]) ).

cnf(c_422,plain,
    ( big_f(g(iProver_bot,g(iProver_bot,iProver_bot)),g(iProver_bot,g(iProver_bot,iProver_bot)))
    | big_g(g(iProver_bot,g(iProver_bot,iProver_bot)),g(iProver_bot,g(iProver_bot,iProver_bot))) ),
    inference(instantiation,[status(thm)],[c_419]) ).

cnf(c_532,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_422,c_362,c_329,c_328,c_175,c_163,c_155,c_145,c_132,c_130,c_61,c_57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN012-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 20:00:53 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.77/1.21  % SZS status Started for theBenchmark.p
% 1.77/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 1.77/1.21  
% 1.77/1.21  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.77/1.21  
% 1.77/1.21  ------  iProver source info
% 1.77/1.21  
% 1.77/1.21  git: date: 2023-05-31 18:12:56 +0000
% 1.77/1.21  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.77/1.21  git: non_committed_changes: false
% 1.77/1.21  git: last_make_outside_of_git: false
% 1.77/1.21  
% 1.77/1.21  ------ Parsing...successful
% 1.77/1.21  
% 1.77/1.21  
% 1.77/1.21  
% 1.77/1.21  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.77/1.21  
% 1.77/1.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.77/1.21  ------ Proving...
% 1.77/1.21  ------ Problem Properties 
% 1.77/1.21  
% 1.77/1.21  
% 1.77/1.21  clauses                                 7
% 1.77/1.21  conjectures                             6
% 1.77/1.21  EPR                                     1
% 1.77/1.21  Horn                                    4
% 1.77/1.21  unary                                   0
% 1.77/1.21  binary                                  4
% 1.77/1.21  lits                                    17
% 1.77/1.21  lits eq                                 0
% 1.77/1.21  fd_pure                                 0
% 1.77/1.21  fd_pseudo                               0
% 1.77/1.21  fd_cond                                 0
% 1.77/1.22  fd_pseudo_cond                          0
% 1.77/1.22  AC symbols                              0
% 1.77/1.22  
% 1.77/1.22  ------ Schedule dynamic 5 is on 
% 1.77/1.22  
% 1.77/1.22  ------ no equalities: superposition off 
% 1.77/1.22  
% 1.77/1.22  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.77/1.22  
% 1.77/1.22  
% 1.77/1.22  ------ 
% 1.77/1.22  Current options:
% 1.77/1.22  ------ 
% 1.77/1.22  
% 1.77/1.22  
% 1.77/1.22  
% 1.77/1.22  
% 1.77/1.22  ------ Proving...
% 1.77/1.22  
% 1.77/1.22  
% 1.77/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 1.77/1.22  
% 1.77/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.77/1.22  
% 1.77/1.22  
%------------------------------------------------------------------------------