TSTP Solution File: GRP760+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP760+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : Thu Aug 31 01:01:44 EDT 2023

% Result   : Satisfiable 176.42s 24.40s
% Output   : Saturation 176.42s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : mult(X0,i(X0)) = e,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).

fof(f2,axiom,
    ! [X0] : mult(X0,e) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).

fof(f3,axiom,
    ! [X1,X0,X2] : mult(X0,mult(X1,X2)) = mult(mult(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).

fof(f4,axiom,
    ( e != a
    & e = mult(a,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).

fof(f5,axiom,
    ! [X0] :
    ? [X1] : mult(X1,X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).

fof(f6,plain,
    ! [X0,X1,X2] : mult(X1,mult(X0,X2)) = mult(mult(X1,X0),X2),
    inference(rectify,[],[f3]) ).

fof(f7,plain,
    ! [X0] :
      ( ? [X1] : mult(X1,X1) = X0
     => mult(sK0(X0),sK0(X0)) = X0 ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ! [X0] : mult(sK0(X0),sK0(X0)) = X0,
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f7]) ).

fof(f9,plain,
    ! [X0] : mult(X0,i(X0)) = e,
    inference(cnf_transformation,[],[f1]) ).

fof(f10,plain,
    ! [X0] : mult(X0,e) = X0,
    inference(cnf_transformation,[],[f2]) ).

fof(f11,plain,
    ! [X2,X0,X1] : mult(X1,mult(X0,X2)) = mult(mult(X1,X0),X2),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    e = mult(a,a),
    inference(cnf_transformation,[],[f4]) ).

fof(f13,plain,
    e != a,
    inference(cnf_transformation,[],[f4]) ).

fof(f14,plain,
    ! [X0] : mult(sK0(X0),sK0(X0)) = X0,
    inference(cnf_transformation,[],[f8]) ).

cnf(c_49,plain,
    mult(X0,i(X0)) = e,
    inference(cnf_transformation,[],[f9]) ).

cnf(c_50,plain,
    mult(X0,e) = X0,
    inference(cnf_transformation,[],[f10]) ).

cnf(c_51,plain,
    mult(mult(X0,X1),X2) = mult(X0,mult(X1,X2)),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_52,plain,
    e != a,
    inference(cnf_transformation,[],[f13]) ).

cnf(c_53,plain,
    mult(a,a) = e,
    inference(cnf_transformation,[],[f12]) ).

cnf(c_54,plain,
    mult(sK0(X0),sK0(X0)) = X0,
    inference(cnf_transformation,[],[f14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP760+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.17/0.35  % Computer : n014.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Mon Aug 28 23:18:00 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 176.42/24.40  % SZS status Started for theBenchmark.p
% 176.42/24.40  % SZS status Satisfiable for theBenchmark.p
% 176.42/24.40  
% 176.42/24.40  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 176.42/24.40  
% 176.42/24.40  ------  iProver source info
% 176.42/24.40  
% 176.42/24.40  git: date: 2023-05-31 18:12:56 +0000
% 176.42/24.40  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 176.42/24.40  git: non_committed_changes: false
% 176.42/24.40  git: last_make_outside_of_git: false
% 176.42/24.40  
% 176.42/24.40  ------ Parsing...
% 176.42/24.40  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 176.42/24.40  
% 176.42/24.40  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 176.42/24.40  
% 176.42/24.40  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 176.42/24.40  
% 176.42/24.40  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 176.42/24.40  ------ Proving...
% 176.42/24.40  ------ Problem Properties 
% 176.42/24.40  
% 176.42/24.40  
% 176.42/24.40  clauses                                 6
% 176.42/24.40  conjectures                             0
% 176.42/24.40  EPR                                     1
% 176.42/24.40  Horn                                    6
% 176.42/24.40  unary                                   6
% 176.42/24.40  binary                                  0
% 176.42/24.40  lits                                    6
% 176.42/24.40  lits eq                                 6
% 176.42/24.40  fd_pure                                 0
% 176.42/24.40  fd_pseudo                               0
% 176.42/24.40  fd_cond                                 0
% 176.42/24.40  fd_pseudo_cond                          0
% 176.42/24.40  AC symbols                              0
% 176.42/24.40  
% 176.42/24.40  ------ Input Options Time Limit: Unbounded
% 176.42/24.40  
% 176.42/24.40  
% 176.42/24.40  ------ 
% 176.42/24.40  Current options:
% 176.42/24.40  ------ 
% 176.42/24.40  
% 176.42/24.40  
% 176.42/24.40  
% 176.42/24.40  
% 176.42/24.40  ------ Proving...
% 176.42/24.40  
% 176.42/24.40  
% 176.42/24.40  % SZS status Satisfiable for theBenchmark.p
% 176.42/24.40  
% 176.42/24.40  % SZS output start Saturation for theBenchmark.p
% See solution above
% 176.42/24.40  
% 176.42/24.40  
%------------------------------------------------------------------------------