TSTP Solution File: ALG011-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ALG011-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 02:03:12 EDT 2024

% Result   : Unsatisfiable 1.89s 1.20s
% Output   : CNFRefutation 1.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   33 (   5 unt;  12 nHn;  18 RR)
%            Number of literals    :   84 (   2 equ;  44 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   71 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    f(f(X0,X1),X2) = f(X0,f(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative) ).

cnf(c_50,plain,
    ( c(X0)
    | d(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_union) ).

cnf(c_51,plain,
    ( ~ c(X0)
    | ~ d(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive) ).

cnf(c_52,plain,
    c(a1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partition_c_not_empty) ).

cnf(c_54,negated_conjecture,
    ( ~ c(X0)
    | ~ c(X1)
    | d(f(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).

cnf(c_55,negated_conjecture,
    ( ~ d(X0)
    | ~ d(X1)
    | c(f(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2) ).

cnf(c_62,plain,
    ( d(X0)
    | c(X0) ),
    inference(prop_impl_just,[status(thm)],[c_50]) ).

cnf(c_63,plain,
    ( c(X0)
    | d(X0) ),
    inference(renaming,[status(thm)],[c_62]) ).

cnf(c_77,negated_conjecture,
    ( ~ c(X0)
    | d(f(X1,X0))
    | d(X1) ),
    inference(bin_hyper_res,[status(thm)],[c_54,c_63]) ).

cnf(c_129,plain,
    ( X0 != X1
    | d(f(X2,X1))
    | d(X0)
    | d(X2) ),
    inference(resolution_lifted,[status(thm)],[c_63,c_77]) ).

cnf(c_130,plain,
    ( d(f(X0,X1))
    | d(X0)
    | d(X1) ),
    inference(unflattening,[status(thm)],[c_129]) ).

cnf(c_194,negated_conjecture,
    ( ~ c(X0)
    | d(f(X1,X0))
    | d(X1) ),
    inference(demodulation,[status(thm)],[c_77]) ).

cnf(c_195,negated_conjecture,
    ( ~ d(X0)
    | ~ d(X1)
    | c(f(X0,X1)) ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_380,plain,
    ( ~ d(f(X0,X1))
    | ~ d(X0)
    | ~ d(X1) ),
    inference(superposition,[status(thm)],[c_195,c_51]) ).

cnf(c_395,plain,
    ( ~ d(f(X0,f(X1,X2)))
    | ~ d(f(X0,X1))
    | ~ d(X2) ),
    inference(superposition,[status(thm)],[c_49,c_380]) ).

cnf(c_397,plain,
    ( ~ c(X0)
    | d(f(X1,f(X2,X0)))
    | d(f(X1,X2)) ),
    inference(superposition,[status(thm)],[c_49,c_194]) ).

cnf(c_416,plain,
    ( ~ d(f(X0,X1))
    | ~ c(X1)
    | ~ d(X2)
    | d(f(X2,X0)) ),
    inference(superposition,[status(thm)],[c_397,c_380]) ).

cnf(c_451,plain,
    ( ~ c(f(X0,X1))
    | ~ d(f(X2,X0))
    | ~ d(X1)
    | d(X2) ),
    inference(superposition,[status(thm)],[c_194,c_395]) ).

cnf(c_475,plain,
    ( ~ c(X0)
    | ~ d(X1)
    | d(f(X1,X2))
    | d(X2) ),
    inference(superposition,[status(thm)],[c_194,c_416]) ).

cnf(c_497,plain,
    ( ~ c(f(X0,X1))
    | ~ d(f(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_507,plain,
    ( ~ d(X0)
    | d(f(X0,X1))
    | d(X1) ),
    inference(superposition,[status(thm)],[c_52,c_475]) ).

cnf(c_516,plain,
    ( d(f(X0,X1))
    | d(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_507,c_130,c_507]) ).

cnf(c_522,plain,
    ( d(f(X0,f(X1,X2)))
    | d(X2) ),
    inference(superposition,[status(thm)],[c_49,c_516]) ).

cnf(c_550,plain,
    ( ~ d(f(X0,X1))
    | ~ d(X2)
    | d(X1) ),
    inference(superposition,[status(thm)],[c_522,c_380]) ).

cnf(c_585,plain,
    ( ~ d(f(X2,X0))
    | ~ c(f(X0,X1))
    | d(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_451,c_451,c_497,c_516]) ).

cnf(c_586,plain,
    ( ~ c(f(X0,X1))
    | ~ d(f(X2,X0))
    | d(X2) ),
    inference(renaming,[status(thm)],[c_585]) ).

cnf(c_593,plain,
    ( ~ d(f(X0,X1))
    | ~ d(X1)
    | ~ d(X2)
    | d(X0) ),
    inference(superposition,[status(thm)],[c_195,c_586]) ).

cnf(c_612,plain,
    ( ~ d(X2)
    | ~ d(f(X0,X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_593,c_55,c_497,c_550,c_593]) ).

cnf(c_613,plain,
    ( ~ d(f(X0,X1))
    | ~ d(X2) ),
    inference(renaming,[status(thm)],[c_612]) ).

cnf(c_624,plain,
    ( ~ d(X0)
    | d(X1) ),
    inference(superposition,[status(thm)],[c_522,c_613]) ).

cnf(c_629,plain,
    ~ d(f(X0,X1)),
    inference(backward_subsumption_resolution,[status(thm)],[c_613,c_624]) ).

cnf(c_632,plain,
    d(X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_522,c_629]) ).

cnf(c_636,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_629,c_632]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : ALG011-1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.15  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n023.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % 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 22:59:39 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 1.89/1.20  % SZS status Started for theBenchmark.p
% 1.89/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 1.89/1.20  
% 1.89/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.89/1.20  
% 1.89/1.20  ------  iProver source info
% 1.89/1.20  
% 1.89/1.20  git: date: 2024-05-02 19:28:25 +0000
% 1.89/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.89/1.20  git: non_committed_changes: false
% 1.89/1.20  
% 1.89/1.20  ------ Parsing...successful
% 1.89/1.20  
% 1.89/1.20  
% 1.89/1.20  
% 1.89/1.20  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 1.89/1.20  
% 1.89/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.89/1.20  
% 1.89/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.89/1.20  ------ Proving...
% 1.89/1.20  ------ Problem Properties 
% 1.89/1.20  
% 1.89/1.20  
% 1.89/1.20  clauses                                 7
% 1.89/1.20  conjectures                             2
% 1.89/1.20  EPR                                     4
% 1.89/1.20  Horn                                    5
% 1.89/1.20  unary                                   3
% 1.89/1.20  binary                                  2
% 1.89/1.20  lits                                    13
% 1.89/1.20  lits eq                                 1
% 1.89/1.20  fd_pure                                 0
% 1.89/1.20  fd_pseudo                               0
% 1.89/1.20  fd_cond                                 0
% 1.89/1.20  fd_pseudo_cond                          0
% 1.89/1.20  AC symbols                              0
% 1.89/1.20  
% 1.89/1.20  ------ Schedule dynamic 5 is on 
% 1.89/1.20  
% 1.89/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.89/1.20  
% 1.89/1.20  
% 1.89/1.20  ------ 
% 1.89/1.20  Current options:
% 1.89/1.20  ------ 
% 1.89/1.20  
% 1.89/1.20  
% 1.89/1.20  
% 1.89/1.20  
% 1.89/1.20  ------ Proving...
% 1.89/1.20  
% 1.89/1.20  
% 1.89/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 1.89/1.20  
% 1.89/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.89/1.20  
% 1.89/1.20  
%------------------------------------------------------------------------------