TSTP Solution File: GRP044-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP044-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 02:19:54 EDT 2024

% Result   : Unsatisfiable 0.46s 1.15s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (   7 unt;   0 nHn;  13 RR)
%            Number of literals    :   32 (   0 equ;  19 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    equalish(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b) ).

cnf(c_50,plain,
    product(a,c,result),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_with_a) ).

cnf(c_51,negated_conjecture,
    ~ product(b,c,result),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_product_with_b) ).

cnf(c_52,plain,
    product(identity,X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',left_identity) ).

cnf(c_57,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X0,X3,X4)
    | ~ product(X1,X5,X3)
    | product(X2,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',associativity2) ).

cnf(c_58,plain,
    ( ~ product(X0,X1,X2)
    | ~ equalish(X2,X3)
    | product(X0,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',product_substitution3) ).

cnf(c_59,plain,
    product(identity,a,a),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_176,plain,
    ( ~ product(X0,X1,a)
    | ~ equalish(a,b)
    | product(X0,X1,b) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_209,plain,
    ( ~ product(X0,a,X1)
    | ~ product(X0,result,X2)
    | ~ product(a,c,result)
    | product(X1,c,X2) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_258,plain,
    ( ~ product(identity,a,a)
    | ~ equalish(a,b)
    | product(identity,a,b) ),
    inference(instantiation,[status(thm)],[c_176]) ).

cnf(c_291,plain,
    ( ~ product(identity,a,X0)
    | ~ product(a,c,result)
    | ~ product(identity,result,result)
    | product(X0,c,result) ),
    inference(instantiation,[status(thm)],[c_209]) ).

cnf(c_292,plain,
    product(identity,result,result),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_758,plain,
    ( ~ product(a,c,result)
    | ~ product(identity,a,b)
    | ~ product(identity,result,result)
    | product(b,c,result) ),
    inference(instantiation,[status(thm)],[c_291]) ).

cnf(c_759,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_758,c_292,c_258,c_51,c_50,c_59,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GRP044-2 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n026.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May  3 00:15:36 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  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
% 0.46/1.15  % SZS status Started for theBenchmark.p
% 0.46/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.15  
% 0.46/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.15  
% 0.46/1.15  ------  iProver source info
% 0.46/1.15  
% 0.46/1.15  git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.15  git: non_committed_changes: false
% 0.46/1.15  
% 0.46/1.15  ------ Parsing...successful
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.46/1.15  ------ Proving...
% 0.46/1.15  ------ Problem Properties 
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  clauses                                 10
% 0.46/1.15  conjectures                             1
% 0.46/1.15  EPR                                     8
% 0.46/1.15  Horn                                    10
% 0.46/1.15  unary                                   6
% 0.46/1.15  binary                                  0
% 0.46/1.15  lits                                    20
% 0.46/1.15  lits eq                                 0
% 0.46/1.15  fd_pure                                 0
% 0.46/1.15  fd_pseudo                               0
% 0.46/1.15  fd_cond                                 0
% 0.46/1.15  fd_pseudo_cond                          0
% 0.46/1.15  AC symbols                              0
% 0.46/1.15  
% 0.46/1.15  ------ Input Options Time Limit: Unbounded
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  ------ 
% 0.46/1.15  Current options:
% 0.46/1.15  ------ 
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  ------ Proving...
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.15  
% 0.46/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.15  
% 0.46/1.15  
%------------------------------------------------------------------------------