TSTP Solution File: SWV679-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV679-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 : Thu Aug 31 22:42:16 EDT 2023

% Result   : Unsatisfiable 8.09s 1.66s
% Output   : CNFRefutation 8.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   18 (   7 unt;   5 nHn;  10 RR)
%            Number of literals    :   35 (  20 equ;  17 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_604,plain,
    ( ~ class_Ring__and__Field_Ofield(X0)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).

cnf(c_616,plain,
    ( ~ c_lessequals(X0,X1,tc_nat)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X3,X2),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2)
    | c_HOL_Ozero__class_Ozero(X2) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__diff__inverse_0) ).

cnf(c_652,plain,
    ( c_lessequals(X0,X1,tc_nat)
    | c_lessequals(X1,X0,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__le__linear_0) ).

cnf(c_687,plain,
    ~ c_lessequals(v_n,v_m,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(c_688,plain,
    ( c_HOL_Ozero__class_Ozero(t_a) != v_a
    | ~ class_Ring__and__Field_Ofield(t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

cnf(c_689,negated_conjecture,
    class_Ring__and__Field_Ofield(t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(c_690,negated_conjecture,
    ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)
    | c_lessequals(v_n,v_m,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_692,negated_conjecture,
    ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)
    | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_1099,negated_conjecture,
    c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a),
    inference(global_subsumption_just,[status(thm)],[c_692,c_687,c_690]) ).

cnf(c_1363,plain,
    ( ~ class_Ring__and__Field_Ofield(X0)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_604]) ).

cnf(c_9544,plain,
    ( X0 != t_a
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_1363,c_689]) ).

cnf(c_9545,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a) = c_HOL_Oinverse__class_Oinverse(X0,t_a),
    inference(unflattening,[status(thm)],[c_9544]) ).

cnf(c_9669,plain,
    ( X0 != t_a
    | ~ c_lessequals(X1,X2,tc_nat)
    | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X3,X0),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X0)
    | c_HOL_Ozero__class_Ozero(X0) = X3 ),
    inference(resolution_lifted,[status(thm)],[c_689,c_616]) ).

cnf(c_9670,plain,
    ( ~ c_lessequals(X0,X1,tc_nat)
    | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X0,t_a),c_Power_Opower__class_Opower(X2,X1,t_a),t_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X2,t_a),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),t_a)
    | c_HOL_Ozero__class_Ozero(t_a) = X2 ),
    inference(unflattening,[status(thm)],[c_9669]) ).

cnf(c_13323,plain,
    c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a),
    inference(demodulation,[status(thm)],[c_1099,c_9545]) ).

cnf(c_23604,plain,
    c_lessequals(v_m,v_n,tc_nat),
    inference(superposition,[status(thm)],[c_652,c_687]) ).

cnf(c_30250,plain,
    ( ~ c_lessequals(v_m,v_n,tc_nat)
    | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)
    | c_HOL_Ozero__class_Ozero(t_a) = v_a ),
    inference(instantiation,[status(thm)],[c_9670]) ).

cnf(c_30251,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_30250,c_23604,c_13323,c_688,c_689]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV679-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 08:58:22 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.09/1.66  % SZS status Started for theBenchmark.p
% 8.09/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 8.09/1.66  
% 8.09/1.66  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.09/1.66  
% 8.09/1.66  ------  iProver source info
% 8.09/1.66  
% 8.09/1.66  git: date: 2023-05-31 18:12:56 +0000
% 8.09/1.66  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.09/1.66  git: non_committed_changes: false
% 8.09/1.66  git: last_make_outside_of_git: false
% 8.09/1.66  
% 8.09/1.66  ------ Parsing...successful
% 8.09/1.66  
% 8.09/1.66  
% 8.09/1.66  
% 8.09/1.66  ------ Preprocessing... sup_sim: 13  sf_s  rm: 137 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 12  sf_s  rm: 25 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 25 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 25 0s  sf_e  pe_s  pe_e 
% 8.09/1.66  
% 8.09/1.66  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.09/1.66  
% 8.09/1.66  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.09/1.66  ------ Proving...
% 8.09/1.66  ------ Problem Properties 
% 8.09/1.66  
% 8.09/1.66  
% 8.09/1.66  clauses                                 292
% 8.09/1.66  conjectures                             0
% 8.09/1.66  EPR                                     16
% 8.09/1.66  Horn                                    247
% 8.09/1.66  unary                                   104
% 8.09/1.66  binary                                  124
% 8.09/1.66  lits                                    549
% 8.09/1.66  lits eq                                 196
% 8.09/1.66  fd_pure                                 0
% 8.09/1.66  fd_pseudo                               0
% 8.09/1.66  fd_cond                                 30
% 8.09/1.66  fd_pseudo_cond                          18
% 8.09/1.66  AC symbols                              0
% 8.09/1.66  
% 8.09/1.66  ------ Schedule dynamic 5 is on 
% 8.09/1.66  
% 8.09/1.66  ------ no conjectures: strip conj schedule 
% 8.09/1.66  
% 8.09/1.66  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 8.09/1.66  
% 8.09/1.66  
% 8.09/1.66  ------ 
% 8.09/1.66  Current options:
% 8.09/1.66  ------ 
% 8.09/1.66  
% 8.09/1.66  
% 8.09/1.66  
% 8.09/1.66  
% 8.09/1.66  ------ Proving...
% 8.09/1.66  
% 8.09/1.66  
% 8.09/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 8.09/1.66  
% 8.09/1.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.09/1.66  
% 8.09/1.66  
%------------------------------------------------------------------------------