TSTP Solution File: SWW436-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW436-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 : Mon Jun 24 18:17:11 EDT 2024

% Result   : Unsatisfiable 4.05s 1.16s
% Output   : CNFRefutation 4.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (  10 unt;   8 nHn;  16 RR)
%            Number of literals    :   27 (  17 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   18 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  14 con; 0-2 aty)
%            Number of variables   :    9 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_52,plain,
    x6 != x4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).

cnf(c_53,plain,
    x4 != x7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).

cnf(c_57,plain,
    heap(sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_9) ).

cnf(c_59,plain,
    sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).

cnf(c_60,plain,
    sep(lseg(X0,X0),X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).

cnf(c_65,plain,
    ( ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3)))
    | X0 = X1
    | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_5) ).

cnf(c_408,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x6,x2),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x3,x10),sep(lseg(x2,x9),sep(lseg(x2,x15),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x13,x2),sep(lseg(x14,x8),emp))))))))))))))))),
    inference(demodulation,[status(thm)],[c_57,c_59]) ).

cnf(c_409,plain,
    ( x13 = x4
    | x4 = x9 ),
    inference(superposition,[status(thm)],[c_408,c_65]) ).

cnf(c_414,plain,
    ( x4 = x9
    | heap(sep(lseg(x4,x9),sep(lseg(x4,x4),sep(lseg(x6,x2),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x3,x10),sep(lseg(x2,x9),sep(lseg(x2,x15),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x4,x2),sep(lseg(x14,x8),emp))))))))))))))))) ),
    inference(superposition,[status(thm)],[c_409,c_408]) ).

cnf(c_420,plain,
    ( x4 = x9
    | heap(sep(lseg(x4,x9),sep(lseg(x4,x2),sep(lseg(x6,x2),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x3,x10),sep(lseg(x2,x9),sep(lseg(x2,x15),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x14,x8),emp)))))))))))))))) ),
    inference(demodulation,[status(thm)],[c_414,c_59,c_60]) ).

cnf(c_427,plain,
    ( x4 = x2
    | x4 = x9 ),
    inference(superposition,[status(thm)],[c_420,c_65]) ).

cnf(c_432,plain,
    ( x4 = x9
    | heap(sep(lseg(x4,x9),sep(lseg(x4,x4),sep(lseg(x6,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x3,x10),sep(lseg(x4,x9),sep(lseg(x4,x15),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x14,x8),emp)))))))))))))))) ),
    inference(superposition,[status(thm)],[c_427,c_420]) ).

cnf(c_436,plain,
    ( x4 = x9
    | heap(sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x4,x15),sep(lseg(x6,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x3,x10),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x14,x8),emp))))))))))))))) ),
    inference(demodulation,[status(thm)],[c_432,c_59,c_60]) ).

cnf(c_448,plain,
    x4 = x9,
    inference(superposition,[status(thm)],[c_436,c_65]) ).

cnf(c_449,plain,
    heap(sep(lseg(x4,x4),sep(lseg(x4,x13),sep(lseg(x6,x2),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x3,x10),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x13,x2),sep(lseg(x14,x8),emp))))))))))))))))),
    inference(superposition,[status(thm)],[c_448,c_408]) ).

cnf(c_450,plain,
    heap(sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x4,x13),sep(lseg(x6,x2),sep(lseg(x3,x10),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x13,x2),sep(lseg(x14,x8),emp)))))))))))))))),
    inference(demodulation,[status(thm)],[c_449,c_59,c_60]) ).

cnf(c_451,plain,
    ( x6 = x4
    | x4 = x7 ),
    inference(superposition,[status(thm)],[c_450,c_65]) ).

cnf(c_452,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_451,c_52,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW436-1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jun 19 07:12:54 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 4.05/1.16  % SZS status Started for theBenchmark.p
% 4.05/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.05/1.16  
% 4.05/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.05/1.16  
% 4.05/1.16  ------  iProver source info
% 4.05/1.16  
% 4.05/1.16  git: date: 2024-06-12 09:56:46 +0000
% 4.05/1.16  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.05/1.16  git: non_committed_changes: false
% 4.05/1.16  
% 4.05/1.16  ------ Parsing...successful
% 4.05/1.16  
% 4.05/1.16  
% 4.05/1.16  
% 4.05/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.05/1.16  
% 4.05/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.05/1.16  
% 4.05/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.05/1.16  ------ Proving...
% 4.05/1.16  ------ Problem Properties 
% 4.05/1.16  
% 4.05/1.16  
% 4.05/1.16  clauses                                 20
% 4.05/1.16  conjectures                             0
% 4.05/1.16  EPR                                     8
% 4.05/1.16  Horn                                    17
% 4.05/1.16  unary                                   13
% 4.05/1.16  binary                                  4
% 4.05/1.16  lits                                    30
% 4.05/1.16  lits eq                                 16
% 4.05/1.16  fd_pure                                 0
% 4.05/1.16  fd_pseudo                               0
% 4.05/1.16  fd_cond                                 1
% 4.05/1.16  fd_pseudo_cond                          4
% 4.05/1.16  AC symbols                              0
% 4.05/1.16  
% 4.05/1.16  ------ Input Options Time Limit: Unbounded
% 4.05/1.16  
% 4.05/1.16  
% 4.05/1.16  ------ 
% 4.05/1.16  Current options:
% 4.05/1.16  ------ 
% 4.05/1.16  
% 4.05/1.16  
% 4.05/1.16  
% 4.05/1.16  
% 4.05/1.16  ------ Proving...
% 4.05/1.16  
% 4.05/1.16  
% 4.05/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.05/1.16  
% 4.05/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.05/1.16  
% 4.05/1.16  
%------------------------------------------------------------------------------