TSTP Solution File: SYO038-1.003.003 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYO038-1.003.003 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n013.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 04:38:33 EDT 2023

% Result   : Unsatisfiable 3.14s 1.17s
% Output   : CNFRefutation 3.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   35 (  17 unt;   0 nHn;  28 RR)
%            Number of literals    :   57 (  15 equ;  25 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   19 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    f(X0,one) = s(one),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

cnf(c_50,plain,
    s(s(f(one,X0))) = f(one,s(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(c_51,plain,
    f(X0,f(s(X0),X1)) = f(s(X0),s(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(c_52,plain,
    d(one),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(c_53,plain,
    ( ~ d(X0)
    | d(s(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(c_54,negated_conjecture,
    ~ d(f(s(s(one)),s(s(one)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(c_55,plain,
    ( ~ d(one)
    | d(s(one)) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_56,plain,
    f(one,one) = s(one),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_86,plain,
    ( X0 != X1
    | ~ d(X1)
    | d(X0) ),
    theory(equality) ).

cnf(c_171,plain,
    f(one,s(one)) = s(s(s(one))),
    inference(superposition,[status(thm)],[c_49,c_50]) ).

cnf(c_172,plain,
    ( ~ d(s(f(one,X0)))
    | d(f(one,s(X0))) ),
    inference(superposition,[status(thm)],[c_50,c_53]) ).

cnf(c_176,plain,
    s(s(s(s(s(one))))) = f(one,s(s(one))),
    inference(superposition,[status(thm)],[c_171,c_50]) ).

cnf(c_181,plain,
    ( ~ d(f(one,X0))
    | d(f(one,s(X0))) ),
    inference(superposition,[status(thm)],[c_53,c_172]) ).

cnf(c_183,plain,
    ( ~ d(s(s(s(s(one)))))
    | d(f(one,s(s(one)))) ),
    inference(superposition,[status(thm)],[c_171,c_172]) ).

cnf(c_196,plain,
    ( ~ d(f(one,one))
    | d(s(s(s(one)))) ),
    inference(superposition,[status(thm)],[c_171,c_181]) ).

cnf(c_197,plain,
    ( ~ d(f(one,s(f(one,X0))))
    | d(f(one,f(one,s(X0)))) ),
    inference(superposition,[status(thm)],[c_50,c_181]) ).

cnf(c_207,plain,
    ( ~ d(s(s(s(one))))
    | d(f(one,s(s(one)))) ),
    inference(superposition,[status(thm)],[c_53,c_183]) ).

cnf(c_210,plain,
    f(s(X0),s(one)) = f(X0,s(one)),
    inference(superposition,[status(thm)],[c_49,c_51]) ).

cnf(c_226,plain,
    f(X0,f(X0,s(one))) = f(s(X0),s(s(one))),
    inference(superposition,[status(thm)],[c_210,c_51]) ).

cnf(c_246,plain,
    ( ~ d(f(one,s(s(s(s(one))))))
    | d(f(one,f(one,s(s(one))))) ),
    inference(superposition,[status(thm)],[c_176,c_181]) ).

cnf(c_259,plain,
    f(s(X0),f(X0,s(one))) = f(s(s(X0)),s(s(one))),
    inference(superposition,[status(thm)],[c_210,c_226]) ).

cnf(c_261,plain,
    f(X0,f(X0,f(X0,s(one)))) = f(s(X0),s(s(s(one)))),
    inference(superposition,[status(thm)],[c_226,c_51]) ).

cnf(c_263,plain,
    ~ d(f(s(one),f(one,s(one)))),
    inference(demodulation,[status(thm)],[c_54,c_259]) ).

cnf(c_264,plain,
    ~ d(f(s(one),s(s(s(one))))),
    inference(light_normalisation,[status(thm)],[c_263,c_171]) ).

cnf(c_268,plain,
    ( f(X0,X1) != X2
    | ~ d(X2)
    | d(f(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_86]) ).

cnf(c_281,plain,
    ( ~ d(f(one,f(one,X0)))
    | d(f(one,f(one,s(X0)))) ),
    inference(superposition,[status(thm)],[c_181,c_197]) ).

cnf(c_282,plain,
    ( ~ d(f(one,s(s(one))))
    | d(f(one,f(one,s(one)))) ),
    inference(superposition,[status(thm)],[c_49,c_197]) ).

cnf(c_285,plain,
    ( ~ d(f(one,s(s(one))))
    | d(f(one,s(s(s(one))))) ),
    inference(light_normalisation,[status(thm)],[c_282,c_171]) ).

cnf(c_385,plain,
    ( f(X0,one) != s(one)
    | ~ d(s(one))
    | d(f(X0,one)) ),
    inference(instantiation,[status(thm)],[c_268]) ).

cnf(c_386,plain,
    ( f(one,one) != s(one)
    | ~ d(s(one))
    | d(f(one,one)) ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_397,plain,
    ( ~ d(f(one,s(s(s(one)))))
    | d(f(one,f(one,s(s(one))))) ),
    inference(superposition,[status(thm)],[c_181,c_246]) ).

cnf(c_401,plain,
    f(one,f(one,s(s(s(one))))) = f(s(one),s(s(s(one)))),
    inference(superposition,[status(thm)],[c_171,c_261]) ).

cnf(c_632,plain,
    d(f(one,f(one,s(s(one))))),
    inference(global_subsumption_just,[status(thm)],[c_397,c_52,c_55,c_56,c_196,c_207,c_285,c_386,c_397]) ).

cnf(c_637,plain,
    ( ~ d(f(one,f(one,s(s(one)))))
    | d(f(s(one),s(s(s(one))))) ),
    inference(superposition,[status(thm)],[c_401,c_281]) ).

cnf(c_638,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_637,c_264,c_632]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO038-1.003.003 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n013.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 07:43:17 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.14/1.17  % SZS status Started for theBenchmark.p
% 3.14/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.14/1.17  
% 3.14/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.14/1.17  
% 3.14/1.17  ------  iProver source info
% 3.14/1.17  
% 3.14/1.17  git: date: 2023-05-31 18:12:56 +0000
% 3.14/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.14/1.17  git: non_committed_changes: false
% 3.14/1.17  git: last_make_outside_of_git: false
% 3.14/1.17  
% 3.14/1.17  ------ Parsing...successful
% 3.14/1.17  
% 3.14/1.17  
% 3.14/1.17  
% 3.14/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.14/1.17  
% 3.14/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.14/1.17  
% 3.14/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.14/1.17  ------ Proving...
% 3.14/1.17  ------ Problem Properties 
% 3.14/1.17  
% 3.14/1.17  
% 3.14/1.17  clauses                                 6
% 3.14/1.17  conjectures                             1
% 3.14/1.17  EPR                                     1
% 3.14/1.17  Horn                                    6
% 3.14/1.17  unary                                   5
% 3.14/1.17  binary                                  1
% 3.14/1.17  lits                                    7
% 3.14/1.17  lits eq                                 3
% 3.14/1.17  fd_pure                                 0
% 3.14/1.17  fd_pseudo                               0
% 3.14/1.17  fd_cond                                 0
% 3.14/1.17  fd_pseudo_cond                          0
% 3.14/1.17  AC symbols                              0
% 3.14/1.17  
% 3.14/1.17  ------ Schedule dynamic 5 is on 
% 3.14/1.17  
% 3.14/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.14/1.17  
% 3.14/1.17  
% 3.14/1.17  ------ 
% 3.14/1.17  Current options:
% 3.14/1.17  ------ 
% 3.14/1.17  
% 3.14/1.17  
% 3.14/1.17  
% 3.14/1.17  
% 3.14/1.17  ------ Proving...
% 3.14/1.17  
% 3.14/1.17  
% 3.14/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.14/1.17  
% 3.14/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.14/1.17  
% 3.14/1.17  
%------------------------------------------------------------------------------