TSTP Solution File: SYO633-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 03:38:31 EDT 2024

% Result   : Unsatisfiable 0.49s 1.17s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   28 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   86 (   0 equ;  65 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    9 (   3 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   84 (  83 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,plain,
    ( ~ 'E'(f(X0),s(s(s(s(s('0'))))))
    | ~ 'E'(f(X1),s(s(s(s('0')))))
    | ~ 'E'(f(X2),s(s(s('0'))))
    | ~ 'E'(f(X3),s(s('0')))
    | ~ 'E'(f(X4),s('0'))
    | ~ 'E'(f(X5),'0') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5_03) ).

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

cnf(c_53,plain,
    'E'(f(X0),s(s(s(s(s('0')))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_05) ).

cnf(c_55,plain,
    ( ~ 'E'(f(X0),s(s(s(s(s('0'))))))
    | ~ 'E'(f(X1),s(s(s(s('0')))))
    | ~ 'E'(f(X2),s(s(s('0'))))
    | ~ 'E'(f(X3),s(s('0')))
    | ~ 'E'(f(X4),s('0'))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X5)),'0') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2_07) ).

cnf(c_57,plain,
    ( ~ 'E'(f(X0),s(s(s(s(s('0'))))))
    | ~ 'E'(f(X1),s(s(s(s('0')))))
    | ~ 'E'(f(X2),s(s(s('0'))))
    | ~ 'E'(f(X3),s(s('0')))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),s('0')) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12_09) ).

cnf(c_58,plain,
    ( ~ 'E'(f(X0),s(s(s(s(s('0'))))))
    | ~ 'E'(f(X1),s(s(s(s('0')))))
    | 'E'(f(X0),s(s(s('0')))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_10) ).

cnf(c_60,plain,
    ( ~ 'E'(f(X0),s(s(s(s(s('0'))))))
    | ~ 'E'(f(X1),s(s(s(s('0')))))
    | ~ 'E'(f(X2),s(s(s('0'))))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0'))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4_12) ).

cnf(c_75,plain,
    ( ~ 'E'(f(X1),s(s(s(s('0')))))
    | 'E'(f(X0),s(s(s('0')))) ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_53,c_58]) ).

cnf(c_76,plain,
    ( ~ 'E'(f(X0),s(s(s(s('0')))))
    | 'E'(f(X1),s(s(s('0')))) ),
    inference(renaming,[status(thm)],[c_75]) ).

cnf(c_87,plain,
    ( ~ 'E'(f(X1),s(s(s(s('0')))))
    | ~ 'E'(f(X2),s(s(s('0'))))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0'))) ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_53,c_60]) ).

cnf(c_88,plain,
    ( ~ 'E'(f(X0),s(s(s(s('0')))))
    | ~ 'E'(f(X1),s(s(s('0'))))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X2)),s(s('0'))) ),
    inference(renaming,[status(thm)],[c_87]) ).

cnf(c_90,plain,
    'E'(f('AP'(s(s(s(s(s(s('0')))))),X2)),s(s('0'))),
    inference(global_subsumption_just,[status(thm)],[c_88,c_52,c_76,c_88]) ).

cnf(c_91,plain,
    'E'(f('AP'(s(s(s(s(s(s('0')))))),X0)),s(s('0'))),
    inference(renaming,[status(thm)],[c_90]) ).

cnf(c_99,plain,
    ( ~ 'E'(f(X1),s(s(s(s('0')))))
    | ~ 'E'(f(X2),s(s(s('0'))))
    | ~ 'E'(f(X3),s(s('0')))
    | ~ 'E'(f(X4),s('0'))
    | ~ 'E'(f(X5),'0') ),
    inference(global_subsumption_just,[status(thm)],[c_51,c_53,c_51]) ).

cnf(c_100,plain,
    ( ~ 'E'(f(X0),s(s(s(s('0')))))
    | ~ 'E'(f(X1),s(s(s('0'))))
    | ~ 'E'(f(X2),s(s('0')))
    | ~ 'E'(f(X3),s('0'))
    | ~ 'E'(f(X4),'0') ),
    inference(renaming,[status(thm)],[c_99]) ).

cnf(c_102,plain,
    ( ~ 'E'(f(X2),s(s('0')))
    | ~ 'E'(f(X3),s('0'))
    | ~ 'E'(f(X4),'0') ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_52,c_76,c_100]) ).

cnf(c_103,plain,
    ( ~ 'E'(f(X0),s(s('0')))
    | ~ 'E'(f(X1),s('0'))
    | ~ 'E'(f(X2),'0') ),
    inference(renaming,[status(thm)],[c_102]) ).

cnf(c_105,plain,
    ( ~ 'E'(f(X1),s(s(s(s('0')))))
    | ~ 'E'(f(X2),s(s(s('0'))))
    | ~ 'E'(f(X3),s(s('0')))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),s('0')) ),
    inference(global_subsumption_just,[status(thm)],[c_57,c_53,c_57]) ).

cnf(c_106,plain,
    ( ~ 'E'(f(X0),s(s(s(s('0')))))
    | ~ 'E'(f(X1),s(s(s('0'))))
    | ~ 'E'(f(X2),s(s('0')))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0')) ),
    inference(renaming,[status(thm)],[c_105]) ).

cnf(c_108,plain,
    ( ~ 'E'(f(X2),s(s('0')))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0')) ),
    inference(global_subsumption_just,[status(thm)],[c_106,c_52,c_76,c_106]) ).

cnf(c_109,plain,
    ( ~ 'E'(f(X0),s(s('0')))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X1)),s('0')) ),
    inference(renaming,[status(thm)],[c_108]) ).

cnf(c_117,plain,
    ( ~ 'E'(f(X1),s(s(s(s('0')))))
    | ~ 'E'(f(X2),s(s(s('0'))))
    | ~ 'E'(f(X3),s(s('0')))
    | ~ 'E'(f(X4),s('0'))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X5)),'0') ),
    inference(global_subsumption_just,[status(thm)],[c_55,c_53,c_55]) ).

cnf(c_118,plain,
    ( ~ 'E'(f(X0),s(s(s(s('0')))))
    | ~ 'E'(f(X1),s(s(s('0'))))
    | ~ 'E'(f(X2),s(s('0')))
    | ~ 'E'(f(X3),s('0'))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),'0') ),
    inference(renaming,[status(thm)],[c_117]) ).

cnf(c_120,plain,
    ( ~ 'E'(f(X2),s(s('0')))
    | ~ 'E'(f(X3),s('0'))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),'0') ),
    inference(global_subsumption_just,[status(thm)],[c_118,c_52,c_76,c_118]) ).

cnf(c_121,plain,
    ( ~ 'E'(f(X0),s(s('0')))
    | ~ 'E'(f(X1),s('0'))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X2)),'0') ),
    inference(renaming,[status(thm)],[c_120]) ).

cnf(c_159,plain,
    ( ~ 'E'(f(X0),s(s('0')))
    | ~ 'E'(f(X1),s('0')) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_121,c_103]) ).

cnf(c_165,plain,
    ~ 'E'(f(X0),s(s('0'))),
    inference(backward_subsumption_resolution,[status(thm)],[c_109,c_159]) ).

cnf(c_169,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_91,c_165]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.15/0.34  % Computer : n009.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu May  2 19:53:40 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.49/1.17  % SZS status Started for theBenchmark.p
% 0.49/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.17  
% 0.49/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.17  
% 0.49/1.17  ------  iProver source info
% 0.49/1.17  
% 0.49/1.17  git: date: 2024-05-02 19:28:25 +0000
% 0.49/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.49/1.17  git: non_committed_changes: false
% 0.49/1.17  
% 0.49/1.17  ------ Parsing...successful
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  ------ Preprocessing...
% 0.49/1.17  
% 0.49/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.17  
% 0.49/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.17  
% 0.49/1.17  
%------------------------------------------------------------------------------