TSTP Solution File: SWW185+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW185+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 : Mon Jun 24 18:16:23 EDT 2024

% Result   : Theorem 239.22s 31.86s
% Output   : CNFRefutation 239.22s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X3,X5,X4] :
      ( class_Rings_Ocomm__semiring__0(X4)
     => c_Polynomial_OpCons(X4,X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X4,c_Polynomial_OpCons(X4,X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_offset__poly__single) ).

fof(f75,axiom,
    ! [X5,X24,X22,X4] :
      ( class_Rings_Ocomm__semiring__0(X4)
     => ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),c_Polynomial_Osmult(X4,X22,X24),c_Polynomial_OpCons(X4,X5,X24))
       => c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)) = X24 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_offset__poly__eq__0__lemma) ).

fof(f80,axiom,
    ! [X3,X24,X5,X4] :
      ( class_Rings_Ocomm__semiring__0(X4)
     => c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X4,c_Polynomial_OpCons(X4,X5,X24),X3) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),c_Polynomial_Osmult(X4,X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X4,X24,X3)),c_Polynomial_OpCons(X4,X5,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X4,X24,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_offset__poly__pCons) ).

fof(f1180,axiom,
    ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
   => v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f1181,axiom,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(f1182,conjecture,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Polynomial_OpCons(t_a,v_a,v_p),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).

fof(f1183,negated_conjecture,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_a,v_p),
    inference(negated_conjecture,[],[f1182]) ).

fof(f1184,axiom,
    class_Rings_Ocomm__semiring__0(t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0) ).

fof(f1186,plain,
    ! [X0,X1,X2] :
      ( class_Rings_Ocomm__semiring__0(X2)
     => c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X0) ),
    inference(rectify,[],[f3]) ).

fof(f1258,plain,
    ! [X0,X1,X2,X3] :
      ( class_Rings_Ocomm__semiring__0(X3)
     => ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
       => c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1 ) ),
    inference(rectify,[],[f75]) ).

fof(f1263,plain,
    ! [X0,X1,X2,X3] :
      ( class_Rings_Ocomm__semiring__0(X3)
     => c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0))) ),
    inference(rectify,[],[f80]) ).

fof(f2246,plain,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_a,v_p),
    inference(flattening,[],[f1183]) ).

fof(f2355,plain,
    ! [X0,X1,X2] :
      ( c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X0)
      | ~ class_Rings_Ocomm__semiring__0(X2) ),
    inference(ennf_transformation,[],[f1186]) ).

fof(f2434,plain,
    ! [X0,X1,X2,X3] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
      | ~ class_Rings_Ocomm__semiring__0(X3) ),
    inference(ennf_transformation,[],[f1258]) ).

fof(f2435,plain,
    ! [X0,X1,X2,X3] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
      | ~ class_Rings_Ocomm__semiring__0(X3) ),
    inference(flattening,[],[f2434]) ).

fof(f2437,plain,
    ! [X0,X1,X2,X3] :
      ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)))
      | ~ class_Rings_Ocomm__semiring__0(X3) ),
    inference(ennf_transformation,[],[f1263]) ).

fof(f3449,plain,
    ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    inference(ennf_transformation,[],[f1180]) ).

fof(f3788,plain,
    ! [X2,X0,X1] :
      ( c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X0)
      | ~ class_Rings_Ocomm__semiring__0(X2) ),
    inference(cnf_transformation,[],[f2355]) ).

fof(f3889,plain,
    ! [X2,X3,X0,X1] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
      | ~ class_Rings_Ocomm__semiring__0(X3) ),
    inference(cnf_transformation,[],[f2435]) ).

fof(f3895,plain,
    ! [X2,X3,X0,X1] :
      ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)))
      | ~ class_Rings_Ocomm__semiring__0(X3) ),
    inference(cnf_transformation,[],[f2437]) ).

fof(f5219,plain,
    ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    inference(cnf_transformation,[],[f3449]) ).

fof(f5220,plain,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h),
    inference(cnf_transformation,[],[f1181]) ).

fof(f5221,plain,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_a,v_p),
    inference(cnf_transformation,[],[f2246]) ).

fof(f5222,plain,
    class_Rings_Ocomm__semiring__0(t_a),
    inference(cnf_transformation,[],[f1184]) ).

cnf(c_51,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X0)
    | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X2) = c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
    inference(cnf_transformation,[],[f3788]) ).

cnf(c_142,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_OpCons(X0,X3,X2)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
    | ~ class_Rings_Ocomm__semiring__0(X0)
    | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2 ),
    inference(cnf_transformation,[],[f3889]) ).

cnf(c_147,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X0)
    | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X1)),c_Polynomial_OpCons(X0,X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X1))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Polynomial_OpCons(X0,X3,X2),X1) ),
    inference(cnf_transformation,[],[f3895]) ).

cnf(c_1416,plain,
    ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
    | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = v_p ),
    inference(cnf_transformation,[],[f5219]) ).

cnf(c_1417,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(cnf_transformation,[],[f5220]) ).

cnf(c_1418,negated_conjecture,
    c_Polynomial_OpCons(t_a,v_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(cnf_transformation,[],[f5221]) ).

cnf(c_1419,plain,
    class_Rings_Ocomm__semiring__0(t_a),
    inference(cnf_transformation,[],[f5222]) ).

cnf(c_55048,plain,
    tc_Polynomial_Opoly(t_a) = sP1_iProver_def,
    definition ).

cnf(c_73003,plain,
    ( c_Groups_Oplus__class_Oplus(sP1_iProver_def,c_Polynomial_Osmult(t_a,X0,X1),c_Polynomial_OpCons(t_a,X2,X1)) != c_Groups_Ozero__class_Ozero(sP1_iProver_def)
    | ~ class_Rings_Ocomm__semiring__0(t_a)
    | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = X1 ),
    inference(superposition,[status(thm)],[c_55048,c_142]) ).

cnf(c_73011,plain,
    ( c_Groups_Oplus__class_Oplus(sP1_iProver_def,c_Polynomial_Osmult(t_a,X0,X1),c_Polynomial_OpCons(t_a,X2,X1)) != c_Groups_Ozero__class_Ozero(sP1_iProver_def)
    | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = X1 ),
    inference(global_subsumption_just,[status(thm)],[c_73003,c_1419,c_73003]) ).

cnf(c_73014,plain,
    ( c_Groups_Oplus__class_Oplus(sP1_iProver_def,c_Polynomial_Osmult(t_a,X0,X1),c_Polynomial_OpCons(t_a,X2,X1)) != c_Groups_Ozero__class_Ozero(sP1_iProver_def)
    | c_Groups_Ozero__class_Ozero(sP1_iProver_def) = X1 ),
    inference(demodulation,[status(thm)],[c_73011,c_55048]) ).

cnf(c_73025,plain,
    c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X0)),c_Polynomial_OpCons(t_a,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X0))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X2,X1),X0),
    inference(superposition,[status(thm)],[c_1419,c_147]) ).

cnf(c_73028,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X1) = c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
    inference(superposition,[status(thm)],[c_1419,c_51]) ).

cnf(c_73033,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(sP1_iProver_def)),X1) = c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_73028,c_55048]) ).

cnf(c_73040,plain,
    c_Groups_Oplus__class_Oplus(sP1_iProver_def,c_Polynomial_Osmult(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X0)),c_Polynomial_OpCons(t_a,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X0))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X2,X1),X0),
    inference(demodulation,[status(thm)],[c_73025,c_55048]) ).

cnf(c_73219,plain,
    ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,X1),X2) != c_Groups_Ozero__class_Ozero(sP1_iProver_def)
    | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X2) = c_Groups_Ozero__class_Ozero(sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_73040,c_73014]) ).

cnf(c_73917,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Groups_Ozero__class_Ozero(sP1_iProver_def)
    | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_1417,c_73219]) ).

cnf(c_73925,plain,
    ( c_Groups_Ozero__class_Ozero(sP1_iProver_def) != c_Groups_Ozero__class_Ozero(sP1_iProver_def)
    | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(sP1_iProver_def) ),
    inference(demodulation,[status(thm)],[c_73917,c_55048]) ).

cnf(c_73926,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(sP1_iProver_def),
    inference(equality_resolution_simp,[status(thm)],[c_73925]) ).

cnf(c_73946,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Groups_Ozero__class_Ozero(sP1_iProver_def)
    | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = v_p ),
    inference(demodulation,[status(thm)],[c_1416,c_73926]) ).

cnf(c_73947,plain,
    ( c_Groups_Ozero__class_Ozero(sP1_iProver_def) != c_Groups_Ozero__class_Ozero(sP1_iProver_def)
    | c_Groups_Ozero__class_Ozero(sP1_iProver_def) = v_p ),
    inference(demodulation,[status(thm)],[c_73946,c_55048]) ).

cnf(c_73948,plain,
    c_Groups_Ozero__class_Ozero(sP1_iProver_def) = v_p,
    inference(equality_resolution_simp,[status(thm)],[c_73947]) ).

cnf(c_73959,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,v_p),X1) = c_Polynomial_OpCons(t_a,X0,v_p),
    inference(demodulation,[status(thm)],[c_73033,c_73948]) ).

cnf(c_73968,plain,
    c_Polynomial_OpCons(t_a,v_a,v_p) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(demodulation,[status(thm)],[c_1417,c_73959]) ).

cnf(c_73969,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_73968,c_1418]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : SWW185+1 : TPTP v8.2.0. Released v5.2.0.
% 0.05/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jun 19 07:47:39 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 239.22/31.86  % SZS status Started for theBenchmark.p
% 239.22/31.86  % SZS status Theorem for theBenchmark.p
% 239.22/31.86  
% 239.22/31.86  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 239.22/31.86  
% 239.22/31.86  ------  iProver source info
% 239.22/31.86  
% 239.22/31.86  git: date: 2024-06-12 09:56:46 +0000
% 239.22/31.86  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 239.22/31.86  git: non_committed_changes: false
% 239.22/31.86  
% 239.22/31.86  ------ Parsing...
% 239.22/31.86  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 239.22/31.86  
% 239.22/31.86  ------ Preprocessing... sup_sim: 0  sf_s  rm: 5 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 8 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 8 0s  sf_e  pe_s  pe_e 
% 239.22/31.86  
% 239.22/31.86  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 239.22/31.86  
% 239.22/31.86  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 239.22/31.86  ------ Proving...
% 239.22/31.86  ------ Problem Properties 
% 239.22/31.86  
% 239.22/31.86  
% 239.22/31.86  clauses                                 1095
% 239.22/31.86  conjectures                             1
% 239.22/31.86  EPR                                     153
% 239.22/31.86  Horn                                    958
% 239.22/31.86  unary                                   243
% 239.22/31.86  binary                                  409
% 239.22/31.86  lits                                    2635
% 239.22/31.86  lits eq                                 618
% 239.22/31.86  fd_pure                                 0
% 239.22/31.86  fd_pseudo                               0
% 239.22/31.86  fd_cond                                 44
% 239.22/31.86  fd_pseudo_cond                          89
% 239.22/31.86  AC symbols                              0
% 239.22/31.86  
% 239.22/31.86  ------ Input Options Time Limit: Unbounded
% 239.22/31.86  
% 239.22/31.86  
% 239.22/31.86  ------ 
% 239.22/31.86  Current options:
% 239.22/31.86  ------ 
% 239.22/31.86  
% 239.22/31.86  
% 239.22/31.86  
% 239.22/31.86  
% 239.22/31.86  ------ Proving...
% 239.22/31.86  
% 239.22/31.86  
% 239.22/31.86  % SZS status Theorem for theBenchmark.p
% 239.22/31.86  
% 239.22/31.86  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 239.22/31.86  
% 239.22/31.87  
%------------------------------------------------------------------------------