TSTP Solution File: GRP028-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP028-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 00:56:42 EDT 2023

% Result   : Unsatisfiable 1.23s 0.98s
% Output   : CNFRefutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   14 (   9 unt;   0 nHn;  11 RR)
%            Number of literals    :   28 (   0 equ;  17 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X0,X3,X4)
    | ~ product(X1,X5,X3)
    | product(X2,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

cnf(c_50,plain,
    product(left_solution(X0,X1),X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_soln) ).

cnf(c_51,plain,
    product(X0,right_solution(X0,X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_soln) ).

cnf(c_52,negated_conjecture,
    ~ product(not_identity(X0),X0,not_identity(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).

cnf(c_53,plain,
    product(iProver_bot,right_solution(iProver_bot,iProver_bot),iProver_bot),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_70,plain,
    ( ~ product(left_solution(X0,X1),X0,X1)
    | ~ product(left_solution(X0,X1),X2,X3)
    | ~ product(X0,X4,X2)
    | product(X1,X4,X3) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_74,plain,
    ( ~ product(left_solution(X0,X1),X0,X1)
    | ~ product(left_solution(X0,X1),X2,X3)
    | ~ product(X0,right_solution(X0,X2),X2)
    | product(X1,right_solution(X0,X2),X3) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_81,plain,
    ( ~ product(left_solution(X0,not_identity(right_solution(X0,X1))),X0,not_identity(right_solution(X0,X1)))
    | ~ product(left_solution(X0,not_identity(right_solution(X0,X1))),X1,not_identity(right_solution(X0,X1)))
    | ~ product(X0,right_solution(X0,X1),X1)
    | product(not_identity(right_solution(X0,X1)),right_solution(X0,X1),not_identity(right_solution(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_82,plain,
    ~ product(not_identity(right_solution(X0,X1)),right_solution(X0,X1),not_identity(right_solution(X0,X1))),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_83,plain,
    ( ~ product(left_solution(iProver_bot,not_identity(right_solution(iProver_bot,iProver_bot))),iProver_bot,not_identity(right_solution(iProver_bot,iProver_bot)))
    | ~ product(iProver_bot,right_solution(iProver_bot,iProver_bot),iProver_bot)
    | product(not_identity(right_solution(iProver_bot,iProver_bot)),right_solution(iProver_bot,iProver_bot),not_identity(right_solution(iProver_bot,iProver_bot))) ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_84,plain,
    ~ product(not_identity(right_solution(iProver_bot,iProver_bot)),right_solution(iProver_bot,iProver_bot),not_identity(right_solution(iProver_bot,iProver_bot))),
    inference(instantiation,[status(thm)],[c_82]) ).

cnf(c_129,plain,
    product(left_solution(X0,not_identity(right_solution(X0,X1))),X0,not_identity(right_solution(X0,X1))),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_130,plain,
    product(left_solution(iProver_bot,not_identity(right_solution(iProver_bot,iProver_bot))),iProver_bot,not_identity(right_solution(iProver_bot,iProver_bot))),
    inference(instantiation,[status(thm)],[c_129]) ).

cnf(c_131,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_130,c_84,c_83,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : GRP028-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.09  % Command  : run_iprover %s %d THM
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.27  % DateTime : Tue Aug 29 02:17:01 EDT 2023
% 0.07/0.27  % CPUTime  : 
% 0.11/0.36  Running first-order theorem proving
% 0.11/0.36  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.23/0.98  % SZS status Started for theBenchmark.p
% 1.23/0.98  % SZS status Unsatisfiable for theBenchmark.p
% 1.23/0.98  
% 1.23/0.98  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.23/0.98  
% 1.23/0.98  ------  iProver source info
% 1.23/0.98  
% 1.23/0.98  git: date: 2023-05-31 18:12:56 +0000
% 1.23/0.98  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.23/0.98  git: non_committed_changes: false
% 1.23/0.98  git: last_make_outside_of_git: false
% 1.23/0.98  
% 1.23/0.98  ------ Parsing...successful
% 1.23/0.98  
% 1.23/0.98  
% 1.23/0.98  
% 1.23/0.98  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.23/0.98  
% 1.23/0.98  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.23/0.98  ------ Proving...
% 1.23/0.98  ------ Problem Properties 
% 1.23/0.98  
% 1.23/0.98  
% 1.23/0.98  clauses                                 4
% 1.23/0.98  conjectures                             1
% 1.23/0.98  EPR                                     1
% 1.23/0.98  Horn                                    4
% 1.23/0.98  unary                                   3
% 1.23/0.98  binary                                  0
% 1.23/0.98  lits                                    7
% 1.23/0.98  lits eq                                 0
% 1.23/0.98  fd_pure                                 0
% 1.23/0.98  fd_pseudo                               0
% 1.23/0.98  fd_cond                                 0
% 1.23/0.98  fd_pseudo_cond                          0
% 1.23/0.98  AC symbols                              0
% 1.23/0.98  
% 1.23/0.98  ------ Schedule dynamic 5 is on 
% 1.23/0.98  
% 1.23/0.98  ------ no equalities: superposition off 
% 1.23/0.98  
% 1.23/0.98  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.23/0.98  
% 1.23/0.98  
% 1.23/0.98  ------ 
% 1.23/0.98  Current options:
% 1.23/0.98  ------ 
% 1.23/0.98  
% 1.23/0.98  
% 1.23/0.98  
% 1.23/0.98  
% 1.23/0.98  ------ Proving...
% 1.23/0.98  
% 1.23/0.98  
% 1.23/0.98  % SZS status Unsatisfiable for theBenchmark.p
% 1.23/0.98  
% 1.23/0.98  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.23/0.98  
% 1.23/0.98  
%------------------------------------------------------------------------------