TSTP Solution File: SYO629-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYO629-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 Sep  1 04:40:26 EDT 2023

% Result   : Unsatisfiable 0.94s 1.15s
% Output   : CNFRefutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   19 (   7 unt;   5 nHn;  13 RR)
%            Number of literals    :   37 (   0 equ;  20 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   21 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,plain,
    iLEQ(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_0_02) ).

cnf(c_51,plain,
    ( ~ 'E'('0',f(g(X0)))
    | ~ 'E'('0',f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11_03) ).

cnf(c_52,plain,
    ( 'E'(s('0'),f(X0))
    | 'LE'(f(X0),s('0')) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6_04) ).

cnf(c_53,plain,
    ~ 'LE'(f(X0),'0'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7_05) ).

cnf(c_54,plain,
    ( ~ 'LE'(f(X0),s('0'))
    | ~ iLEQ(X0,X1)
    | 'E'('0',f(X1))
    | 'LE'(f(X1),'0') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10_06) ).

cnf(c_55,plain,
    ( ~ 'E'(s('0'),f(g(X0)))
    | ~ 'E'(s('0'),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_07) ).

cnf(c_57,plain,
    iLEQ(X0,g(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3_09) ).

cnf(c_59,plain,
    ~ 'E'(f(X0),f(g(X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4_11) ).

cnf(c_70,plain,
    ( ~ 'E'('0',f(X0))
    | ~ 'E'('0',f(g(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_51,c_59,c_51]) ).

cnf(c_71,plain,
    ( ~ 'E'('0',f(g(X0)))
    | ~ 'E'('0',f(X0)) ),
    inference(renaming,[status(thm)],[c_70]) ).

cnf(c_73,plain,
    ( ~ 'E'(s('0'),f(X0))
    | ~ 'E'(s('0'),f(g(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_55,c_59,c_55]) ).

cnf(c_74,plain,
    ( ~ 'E'(s('0'),f(g(X0)))
    | ~ 'E'(s('0'),f(X0)) ),
    inference(renaming,[status(thm)],[c_73]) ).

cnf(c_82,plain,
    ( ~ 'LE'(f(X0),s('0'))
    | ~ iLEQ(X0,X1)
    | 'E'('0',f(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_54,c_53]) ).

cnf(c_104,plain,
    ( ~ iLEQ(X0,X1)
    | 'E'(s('0'),f(X0))
    | 'E'('0',f(X1)) ),
    inference(resolution,[status(thm)],[c_52,c_82]) ).

cnf(c_118,plain,
    ( 'E'(s('0'),f(X0))
    | 'E'('0',f(X0)) ),
    inference(resolution,[status(thm)],[c_50,c_104]) ).

cnf(c_126,plain,
    ( 'E'(s('0'),f(X0))
    | 'E'('0',f(g(X0))) ),
    inference(resolution,[status(thm)],[c_104,c_57]) ).

cnf(c_128,plain,
    'E'(s('0'),f(X0)),
    inference(global_subsumption_just,[status(thm)],[c_126,c_71,c_118,c_126]) ).

cnf(c_135,plain,
    ~ 'E'(s('0'),f(X0)),
    inference(backward_subsumption_resolution,[status(thm)],[c_74,c_128]) ).

cnf(c_136,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_135,c_128]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO629-1 : TPTP v8.1.2. Released v7.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n005.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 : Sat Aug 26 06:13:08 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.94/1.15  % SZS status Started for theBenchmark.p
% 0.94/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.94/1.15  
% 0.94/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.94/1.15  
% 0.94/1.15  ------  iProver source info
% 0.94/1.15  
% 0.94/1.15  git: date: 2023-05-31 18:12:56 +0000
% 0.94/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.94/1.15  git: non_committed_changes: false
% 0.94/1.15  git: last_make_outside_of_git: false
% 0.94/1.15  
% 0.94/1.15  ------ Parsing...successful
% 0.94/1.15  
% 0.94/1.15  
% 0.94/1.15  
% 0.94/1.15  ------ Preprocessing... sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s
% 0.94/1.15  
% 0.94/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.94/1.15  
% 0.94/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.94/1.15  
% 0.94/1.15  
%------------------------------------------------------------------------------