TSTP Solution File: SYN012-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN012-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 03:28:36 EDT 2024

% Result   : Unsatisfiable 0.43s 1.16s
% Output   : CNFRefutation 0.43s
% 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,
    ( ~ 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_127,negated_conjecture,
    ( ~ big_f(g(X0,X1),g(X0,X1))
    | ~ big_f(X0,X1)
    | ~ big_g(X0,X1) ),
    inference(demodulation,[status(thm)],[c_90]) ).

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

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

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

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

cnf(c_137,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_131]) ).

cnf(c_138,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_137]) ).

cnf(c_139,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_132]) ).

cnf(c_140,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_139]) ).

cnf(c_141,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_153,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_127]) ).

cnf(c_154,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_153]) ).

cnf(c_158,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_161,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_158]) ).

cnf(c_168,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_128]) ).

cnf(c_169,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_168]) ).

cnf(c_178,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_141]) ).

cnf(c_179,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))) ),
    inference(instantiation,[status(thm)],[c_130]) ).

cnf(c_180,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))) ),
    inference(instantiation,[status(thm)],[c_179]) ).

cnf(c_181,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_178]) ).

cnf(c_341,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_127]) ).

cnf(c_342,plain,
    ( ~ big_g(g(X0,g(X1,X0)),g(X0,g(X1,X0)))
    | ~ big_g(X0,g(X1,X0)) ),
    inference(instantiation,[status(thm)],[c_128]) ).

cnf(c_343,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_342]) ).

cnf(c_344,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_341]) ).

cnf(c_359,plain,
    ( ~ big_f(X0,X1)
    | big_f(X0,g(X0,X1))
    | big_f(X1,g(X0,X1)) ),
    inference(superposition,[status(thm)],[c_69,c_131]) ).

cnf(c_368,plain,
    ( ~ big_f(iProver_bot,iProver_bot)
    | big_f(iProver_bot,g(iProver_bot,iProver_bot)) ),
    inference(instantiation,[status(thm)],[c_359]) ).

cnf(c_477,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_141]) ).

cnf(c_482,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_477]) ).

cnf(c_591,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_482,c_368,c_344,c_343,c_181,c_180,c_169,c_161,c_154,c_140,c_138,c_61,c_57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14  % Problem  : SYN012-1 : TPTP v8.1.2. Released v1.1.0.
% 0.06/0.15  % Command  : run_iprover %s %d THM
% 0.11/0.36  % Computer : n014.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8042.1875MB
% 0.11/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Thu May  2 20:48:47 EDT 2024
% 0.11/0.36  % CPUTime  : 
% 0.16/0.47  Running first-order theorem proving
% 0.16/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.43/1.16  % SZS status Started for theBenchmark.p
% 0.43/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.16  
% 0.43/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.43/1.16  
% 0.43/1.16  ------  iProver source info
% 0.43/1.16  
% 0.43/1.16  git: date: 2024-05-02 19:28:25 +0000
% 0.43/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.43/1.16  git: non_committed_changes: false
% 0.43/1.16  
% 0.43/1.16  ------ Parsing...successful
% 0.43/1.16  
% 0.43/1.16  
% 0.43/1.16  
% 0.43/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.43/1.16  
% 0.43/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.43/1.16  ------ Proving...
% 0.43/1.16  ------ Problem Properties 
% 0.43/1.16  
% 0.43/1.16  
% 0.43/1.16  clauses                                 7
% 0.43/1.16  conjectures                             6
% 0.43/1.16  EPR                                     1
% 0.43/1.16  Horn                                    4
% 0.43/1.16  unary                                   0
% 0.43/1.16  binary                                  4
% 0.43/1.16  lits                                    17
% 0.43/1.16  lits eq                                 0
% 0.43/1.16  fd_pure                                 0
% 0.43/1.16  fd_pseudo                               0
% 0.43/1.16  fd_cond                                 0
% 0.43/1.16  fd_pseudo_cond                          0
% 0.43/1.16  AC symbols                              0
% 0.43/1.16  
% 0.43/1.16  ------ Schedule dynamic 5 is on 
% 0.43/1.16  
% 0.43/1.16  ------ no equalities: superposition off 
% 0.43/1.16  
% 0.43/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.43/1.16  
% 0.43/1.16  
% 0.43/1.16  ------ 
% 0.43/1.16  Current options:
% 0.43/1.16  ------ 
% 0.43/1.16  
% 0.43/1.16  
% 0.43/1.16  
% 0.43/1.16  
% 0.43/1.16  ------ Proving...
% 0.43/1.16  
% 0.43/1.16  
% 0.43/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.16  
% 0.43/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.17  
% 0.43/1.17  
%------------------------------------------------------------------------------