TSTP Solution File: SYO038-1.003.003 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% 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 : n016.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 03:37:09 EDT 2024

% Result   : Unsatisfiable 0.48s 1.16s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% 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_81,plain,
    s(one) = sP0_iProver_def,
    definition ).

cnf(c_82,plain,
    s(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_83,plain,
    f(sP1_iProver_def,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_84,negated_conjecture,
    ~ d(sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_54,c_81,c_82,c_83]) ).

cnf(c_187,plain,
    ( ~ d(one)
    | d(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_81,c_53]) ).

cnf(c_188,plain,
    ( ~ d(sP0_iProver_def)
    | d(sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_82,c_53]) ).

cnf(c_191,plain,
    d(sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_187,c_52]) ).

cnf(c_192,plain,
    d(sP1_iProver_def),
    inference(backward_subsumption_resolution,[status(thm)],[c_188,c_191]) ).

cnf(c_193,plain,
    f(X0,one) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_49,c_81]) ).

cnf(c_194,plain,
    f(one,s(one)) = s(s(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_193,c_50]) ).

cnf(c_195,plain,
    ( ~ d(s(f(one,X0)))
    | d(f(one,s(X0))) ),
    inference(superposition,[status(thm)],[c_50,c_53]) ).

cnf(c_196,plain,
    f(one,sP0_iProver_def) = s(sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_194,c_81,c_82]) ).

cnf(c_200,plain,
    f(s(X0),s(one)) = f(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_193,c_51]) ).

cnf(c_202,plain,
    f(one,f(sP0_iProver_def,X0)) = f(sP0_iProver_def,s(X0)),
    inference(superposition,[status(thm)],[c_81,c_51]) ).

cnf(c_204,plain,
    f(sP0_iProver_def,f(sP1_iProver_def,X0)) = f(sP1_iProver_def,s(X0)),
    inference(superposition,[status(thm)],[c_82,c_51]) ).

cnf(c_207,plain,
    f(s(X0),sP0_iProver_def) = f(X0,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_200,c_81]) ).

cnf(c_215,plain,
    f(one,s(sP0_iProver_def)) = s(s(s(sP1_iProver_def))),
    inference(superposition,[status(thm)],[c_196,c_50]) ).

cnf(c_216,plain,
    s(s(s(sP1_iProver_def))) = f(one,sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_215,c_82]) ).

cnf(c_217,plain,
    f(one,sP0_iProver_def) = f(sP0_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_81,c_207]) ).

cnf(c_219,plain,
    f(sP0_iProver_def,sP0_iProver_def) = f(sP1_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_82,c_207]) ).

cnf(c_221,plain,
    f(sP0_iProver_def,sP0_iProver_def) = s(sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_217,c_196]) ).

cnf(c_227,plain,
    f(sP1_iProver_def,sP0_iProver_def) = s(sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_219,c_221]) ).

cnf(c_232,plain,
    ( ~ d(s(s(sP1_iProver_def)))
    | d(f(one,sP1_iProver_def)) ),
    inference(superposition,[status(thm)],[c_216,c_53]) ).

cnf(c_244,plain,
    ( ~ d(s(sP1_iProver_def))
    | d(f(one,sP1_iProver_def)) ),
    inference(superposition,[status(thm)],[c_53,c_232]) ).

cnf(c_262,plain,
    ( ~ d(f(one,X0))
    | d(f(one,s(X0))) ),
    inference(superposition,[status(thm)],[c_53,c_195]) ).

cnf(c_263,plain,
    ( ~ d(s(sP0_iProver_def))
    | d(f(one,s(one))) ),
    inference(superposition,[status(thm)],[c_193,c_195]) ).

cnf(c_266,plain,
    ( ~ d(sP1_iProver_def)
    | d(s(sP1_iProver_def)) ),
    inference(light_normalisation,[status(thm)],[c_263,c_81,c_82,c_196]) ).

cnf(c_267,plain,
    d(s(sP1_iProver_def)),
    inference(forward_subsumption_resolution,[status(thm)],[c_266,c_192]) ).

cnf(c_274,plain,
    d(f(one,sP1_iProver_def)),
    inference(backward_subsumption_resolution,[status(thm)],[c_244,c_267]) ).

cnf(c_285,plain,
    ( ~ d(f(one,s(f(one,X0))))
    | d(f(one,f(one,s(X0)))) ),
    inference(superposition,[status(thm)],[c_50,c_262]) ).

cnf(c_287,plain,
    ( ~ d(f(one,s(s(sP1_iProver_def))))
    | d(f(one,f(one,sP1_iProver_def))) ),
    inference(superposition,[status(thm)],[c_216,c_262]) ).

cnf(c_296,plain,
    f(one,s(sP1_iProver_def)) = f(sP0_iProver_def,s(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_221,c_202]) ).

cnf(c_300,plain,
    f(one,s(sP1_iProver_def)) = f(sP0_iProver_def,sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_296,c_82]) ).

cnf(c_310,plain,
    f(one,s(s(sP1_iProver_def))) = s(s(f(sP0_iProver_def,sP1_iProver_def))),
    inference(superposition,[status(thm)],[c_300,c_50]) ).

cnf(c_311,plain,
    ( ~ d(f(one,sP1_iProver_def))
    | d(f(sP0_iProver_def,sP1_iProver_def)) ),
    inference(superposition,[status(thm)],[c_300,c_262]) ).

cnf(c_312,plain,
    d(f(sP0_iProver_def,sP1_iProver_def)),
    inference(forward_subsumption_resolution,[status(thm)],[c_311,c_274]) ).

cnf(c_336,plain,
    f(sP0_iProver_def,s(sP1_iProver_def)) = f(sP1_iProver_def,s(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_227,c_204]) ).

cnf(c_339,plain,
    f(sP0_iProver_def,s(sP1_iProver_def)) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_336,c_82,c_83]) ).

cnf(c_383,plain,
    ( ~ d(f(one,s(sP1_iProver_def)))
    | d(s(s(f(sP0_iProver_def,sP1_iProver_def)))) ),
    inference(superposition,[status(thm)],[c_310,c_262]) ).

cnf(c_384,plain,
    ( ~ d(f(sP0_iProver_def,sP1_iProver_def))
    | d(s(s(f(sP0_iProver_def,sP1_iProver_def)))) ),
    inference(light_normalisation,[status(thm)],[c_383,c_300]) ).

cnf(c_385,plain,
    d(s(s(f(sP0_iProver_def,sP1_iProver_def)))),
    inference(forward_subsumption_resolution,[status(thm)],[c_384,c_312]) ).

cnf(c_431,plain,
    ( ~ d(s(s(f(sP0_iProver_def,sP1_iProver_def))))
    | d(f(one,f(one,sP1_iProver_def))) ),
    inference(light_normalisation,[status(thm)],[c_287,c_310]) ).

cnf(c_432,plain,
    d(f(one,f(one,sP1_iProver_def))),
    inference(forward_subsumption_resolution,[status(thm)],[c_431,c_385]) ).

cnf(c_468,plain,
    ( ~ d(f(one,f(one,X0)))
    | d(f(one,f(one,s(X0)))) ),
    inference(superposition,[status(thm)],[c_262,c_285]) ).

cnf(c_836,plain,
    ( ~ d(f(one,f(one,sP1_iProver_def)))
    | d(f(one,f(sP0_iProver_def,sP1_iProver_def))) ),
    inference(superposition,[status(thm)],[c_300,c_468]) ).

cnf(c_844,plain,
    d(f(one,f(sP0_iProver_def,sP1_iProver_def))),
    inference(forward_subsumption_resolution,[status(thm)],[c_836,c_432]) ).

cnf(c_876,plain,
    d(sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_844,c_202,c_339]) ).

cnf(c_877,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_876,c_84]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYO038-1.003.003 : TPTP v8.1.2. Released v5.3.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 20:49:15 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 0.48/1.16  % SZS status Started for theBenchmark.p
% 0.48/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.16  
% 0.48/1.16  ------  iProver source info
% 0.48/1.16  
% 0.48/1.16  git: date: 2024-05-02 19:28:25 +0000
% 0.48/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.48/1.16  git: non_committed_changes: false
% 0.48/1.16  
% 0.48/1.16  ------ Parsing...successful
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.48/1.16  ------ Proving...
% 0.48/1.16  ------ Problem Properties 
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  clauses                                 9
% 0.48/1.16  conjectures                             1
% 0.48/1.16  EPR                                     2
% 0.48/1.16  Horn                                    9
% 0.48/1.16  unary                                   8
% 0.48/1.16  binary                                  1
% 0.48/1.16  lits                                    10
% 0.48/1.16  lits eq                                 6
% 0.48/1.16  fd_pure                                 0
% 0.48/1.16  fd_pseudo                               0
% 0.48/1.16  fd_cond                                 0
% 0.48/1.16  fd_pseudo_cond                          0
% 0.48/1.16  AC symbols                              0
% 0.48/1.16  
% 0.48/1.16  ------ Schedule dynamic 5 is on 
% 0.48/1.16  
% 0.48/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ 
% 0.48/1.16  Current options:
% 0.48/1.16  ------ 
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ Proving...
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.16  
% 0.48/1.16  
%------------------------------------------------------------------------------