TSTP Solution File: KRS001-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : KRS001-1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Fri May  3 02:33:25 EDT 2024

% Result   : Unsatisfiable 0.53s 1.11s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   21 (   2 unt;   0 nHn;  21 RR)
%            Number of literals    :   48 (   0 equ;  32 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    e(exist),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(c_50,plain,
    ( ~ c(X0)
    | r2least(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(c_52,plain,
    ( ~ equalish(u1r2(X0),u1r1(X0))
    | ~ r2least(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

cnf(c_53,plain,
    ( ~ r2least(X0)
    | r(X0,u1r1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

cnf(c_54,plain,
    ( ~ r2least(X0)
    | r(X0,u1r2(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

cnf(c_56,plain,
    ( ~ d(X0)
    | r1most(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).

cnf(c_58,plain,
    ( ~ r(X0,X1)
    | ~ r(X0,X2)
    | ~ r1most(X0)
    | equalish(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).

cnf(c_62,plain,
    ( ~ e(X0)
    | d(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).

cnf(c_63,plain,
    ( ~ e(X0)
    | c(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).

cnf(c_65,plain,
    ( ~ e(exist)
    | c(exist) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_66,plain,
    ( ~ e(exist)
    | d(exist) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_70,plain,
    ( ~ c(exist)
    | r2least(exist) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_73,plain,
    ( ~ r2least(exist)
    | r(exist,u1r2(exist)) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_74,plain,
    ( ~ r2least(exist)
    | r(exist,u1r1(exist)) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_85,plain,
    ( ~ d(X0)
    | r1most(X0) ),
    inference(prop_impl_just,[status(thm)],[c_56]) ).

cnf(c_87,plain,
    ( ~ c(X0)
    | ~ equalish(u1r2(X0),u1r1(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_50,c_52]) ).

cnf(c_88,plain,
    ( ~ equalish(u1r2(X0),u1r1(X0))
    | ~ c(X0) ),
    inference(renaming,[status(thm)],[c_87]) ).

cnf(c_144,plain,
    ( ~ r(X0,X1)
    | ~ r(X0,X2)
    | ~ d(X0)
    | equalish(X1,X2) ),
    inference(bin_hyper_res,[status(thm)],[c_58,c_85]) ).

cnf(c_376,plain,
    ( ~ r(X0,u1r2(X1))
    | ~ r(X0,u1r1(X1))
    | ~ c(X1)
    | ~ d(X0) ),
    inference(resolution,[status(thm)],[c_88,c_144]) ).

cnf(c_377,plain,
    ( ~ r(exist,u1r2(exist))
    | ~ r(exist,u1r1(exist))
    | ~ c(exist)
    | ~ d(exist) ),
    inference(instantiation,[status(thm)],[c_376]) ).

cnf(c_378,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_377,c_74,c_73,c_70,c_66,c_65,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : KRS001-1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 22:47:08 EDT 2024
% 0.16/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  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
% 0.53/1.11  % SZS status Started for theBenchmark.p
% 0.53/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 0.53/1.11  
% 0.53/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.53/1.11  
% 0.53/1.11  ------  iProver source info
% 0.53/1.11  
% 0.53/1.11  git: date: 2024-05-02 19:28:25 +0000
% 0.53/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.53/1.11  git: non_committed_changes: false
% 0.53/1.11  
% 0.53/1.11  ------ Parsing...successful
% 0.53/1.11  
% 0.53/1.11  
% 0.53/1.11  
% 0.53/1.11  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s
% 0.53/1.11  
% 0.53/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 0.53/1.11  
% 0.53/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.53/1.11  
% 0.53/1.11  
%------------------------------------------------------------------------------