TSTP Solution File: SWW430-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW430-1 : 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 18:17:10 EDT 2024

% Result   : Unsatisfiable 4.24s 1.24s
% Output   : CNFRefutation 4.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   41 (  21 unt;  12 nHn;  39 RR)
%            Number of literals    :   67 (  36 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   19 (   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   :   65 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    x3 != x11,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).

cnf(c_53,plain,
    x2 != x10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).

cnf(c_54,plain,
    heap(sep(lseg(x5,x2),sep(lseg(x5,x7),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_6) ).

cnf(c_56,plain,
    sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).

cnf(c_57,plain,
    sep(lseg(X0,X0),X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).

cnf(c_62,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_64,plain,
    ( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,nil),X2)))
    | heap(sep(lseg(X0,nil),X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_3) ).

cnf(c_163,plain,
    heap(sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x3,x1),sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))))),
    inference(demodulation,[status(thm)],[c_54,c_56]) ).

cnf(c_498,plain,
    ( ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X1,nil),X3))))
    | heap(sep(lseg(X0,nil),sep(X2,X3))) ),
    inference(superposition,[status(thm)],[c_56,c_64]) ).

cnf(c_633,plain,
    ( ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4))))
    | X0 = X1
    | X0 = X3 ),
    inference(superposition,[status(thm)],[c_56,c_62]) ).

cnf(c_911,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,nil),X2)))
    | heap(sep(lseg(X1,nil),sep(X0,X2))) ),
    inference(superposition,[status(thm)],[c_57,c_498]) ).

cnf(c_1010,plain,
    ( ~ heap(sep(X0,sep(X1,sep(lseg(X2,nil),X3))))
    | heap(sep(lseg(X2,nil),sep(X0,sep(X1,X3)))) ),
    inference(superposition,[status(thm)],[c_56,c_911]) ).

cnf(c_1192,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4))))
    | X1 = X2
    | X1 = X3 ),
    inference(superposition,[status(thm)],[c_56,c_633]) ).

cnf(c_1198,plain,
    ( ~ heap(sep(lseg(X0,X1),sep(X2,sep(X3,sep(lseg(X0,X4),X5)))))
    | X0 = X1
    | X0 = X4 ),
    inference(superposition,[status(thm)],[c_56,c_633]) ).

cnf(c_1481,plain,
    ( ~ heap(sep(X0,sep(X1,sep(lseg(X2,nil),X3))))
    | heap(sep(lseg(X2,nil),sep(X1,sep(X0,X3)))) ),
    inference(superposition,[status(thm)],[c_56,c_1010]) ).

cnf(c_1701,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5)))))
    | X1 = X2
    | X1 = X4 ),
    inference(superposition,[status(thm)],[c_56,c_1192]) ).

cnf(c_1964,plain,
    ( ~ heap(sep(X0,sep(X1,X2)))
    | heap(sep(lseg(nil,nil),sep(X1,sep(X0,X2)))) ),
    inference(superposition,[status(thm)],[c_57,c_1481]) ).

cnf(c_1971,plain,
    ( ~ heap(sep(X0,sep(X1,X2)))
    | heap(sep(X1,sep(X0,X2))) ),
    inference(demodulation,[status(thm)],[c_1964,c_57]) ).

cnf(c_1978,plain,
    heap(sep(lseg(x1,x8),sep(lseg(x1,x9),sep(lseg(x3,x1),sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))))),
    inference(superposition,[status(thm)],[c_163,c_1971]) ).

cnf(c_1982,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,X3))))
    | heap(sep(X2,sep(X0,sep(X1,X3)))) ),
    inference(superposition,[status(thm)],[c_56,c_1971]) ).

cnf(c_1999,plain,
    heap(sep(lseg(x3,x1),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))))),
    inference(superposition,[status(thm)],[c_163,c_1982]) ).

cnf(c_3251,plain,
    ( ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5)))))
    | X2 = X3
    | X2 = X4 ),
    inference(superposition,[status(thm)],[c_56,c_1701]) ).

cnf(c_3799,plain,
    ( x3 = x11
    | x3 = x1 ),
    inference(superposition,[status(thm)],[c_163,c_3251]) ).

cnf(c_3813,plain,
    x3 = x1,
    inference(forward_subsumption_resolution,[status(thm)],[c_3799,c_49]) ).

cnf(c_3823,plain,
    x11 != x1,
    inference(demodulation,[status(thm)],[c_49,c_3813]) ).

cnf(c_6221,plain,
    heap(sep(lseg(x1,x8),sep(lseg(x1,x9),sep(lseg(x1,x1),sep(lseg(x1,x11),sep(lseg(x1,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))))),
    inference(light_normalisation,[status(thm)],[c_1978,c_3813]) ).

cnf(c_6222,plain,
    heap(sep(lseg(x1,x11),sep(lseg(x1,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))),
    inference(demodulation,[status(thm)],[c_6221,c_56,c_57]) ).

cnf(c_6229,plain,
    ( x11 = x1
    | x1 = x6 ),
    inference(superposition,[status(thm)],[c_6222,c_62]) ).

cnf(c_6231,plain,
    ( x11 = x1
    | x1 = x9 ),
    inference(superposition,[status(thm)],[c_6222,c_633]) ).

cnf(c_6255,plain,
    ( x11 = x1
    | x1 = x8 ),
    inference(superposition,[status(thm)],[c_6222,c_1198]) ).

cnf(c_6278,plain,
    x1 = x8,
    inference(forward_subsumption_resolution,[status(thm)],[c_6255,c_3823]) ).

cnf(c_6279,plain,
    x1 = x9,
    inference(forward_subsumption_resolution,[status(thm)],[c_6231,c_3823]) ).

cnf(c_6280,plain,
    x1 = x6,
    inference(forward_subsumption_resolution,[status(thm)],[c_6229,c_3823]) ).

cnf(c_6605,plain,
    heap(sep(lseg(x1,x1),sep(lseg(x1,x1),sep(lseg(x1,x1),sep(lseg(x1,x11),sep(lseg(x1,x1),sep(lseg(x11,x1),sep(lseg(x11,x1),sep(lseg(x12,x1),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x1,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x1),sep(lseg(x4,x1),sep(lseg(x1,x10),emp)))))))))))))))))),
    inference(light_normalisation,[status(thm)],[c_1999,c_3813,c_6278,c_6279,c_6280]) ).

cnf(c_6606,plain,
    heap(sep(lseg(x1,x11),sep(lseg(x1,x2),sep(lseg(x1,x10),sep(lseg(x11,x1),sep(lseg(x11,x1),sep(lseg(x12,x1),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x1),sep(lseg(x4,x1),emp)))))))))))))),
    inference(demodulation,[status(thm)],[c_6605,c_56,c_57]) ).

cnf(c_6607,plain,
    ( x11 = x1
    | x2 = x1 ),
    inference(superposition,[status(thm)],[c_6606,c_62]) ).

cnf(c_6609,plain,
    ( x11 = x1
    | x10 = x1 ),
    inference(superposition,[status(thm)],[c_6606,c_633]) ).

cnf(c_6653,plain,
    x10 = x1,
    inference(forward_subsumption_resolution,[status(thm)],[c_6609,c_3823]) ).

cnf(c_6654,plain,
    x2 = x1,
    inference(forward_subsumption_resolution,[status(thm)],[c_6607,c_3823]) ).

cnf(c_6656,plain,
    x2 != x1,
    inference(demodulation,[status(thm)],[c_53,c_6653]) ).

cnf(c_6657,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_6656,c_6654]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.17  % Problem  : SWW430-1 : TPTP v8.2.0. Released v5.2.0.
% 0.10/0.17  % Command  : run_iprover %s %d THM
% 0.17/0.39  % Computer : n029.cluster.edu
% 0.17/0.39  % Model    : x86_64 x86_64
% 0.17/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39  % Memory   : 8042.1875MB
% 0.17/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39  % CPULimit : 300
% 0.17/0.39  % WCLimit  : 300
% 0.17/0.39  % DateTime : Wed Jun 19 05:43:24 EDT 2024
% 0.17/0.39  % CPUTime  : 
% 0.25/0.53  Running first-order theorem proving
% 0.25/0.53  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
% 4.24/1.24  % SZS status Started for theBenchmark.p
% 4.24/1.24  % SZS status Unsatisfiable for theBenchmark.p
% 4.24/1.24  
% 4.24/1.24  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.24/1.24  
% 4.24/1.24  ------  iProver source info
% 4.24/1.24  
% 4.24/1.24  git: date: 2024-06-12 09:56:46 +0000
% 4.24/1.24  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.24/1.24  git: non_committed_changes: false
% 4.24/1.24  
% 4.24/1.24  ------ Parsing...successful
% 4.24/1.24  
% 4.24/1.24  
% 4.24/1.24  
% 4.24/1.24  ------ Preprocessing... sup_sim: 1  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 
% 4.24/1.24  
% 4.24/1.24  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.24/1.24  
% 4.24/1.24  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.24/1.24  ------ Proving...
% 4.24/1.24  ------ Problem Properties 
% 4.24/1.24  
% 4.24/1.24  
% 4.24/1.24  clauses                                 17
% 4.24/1.24  conjectures                             0
% 4.24/1.24  EPR                                     5
% 4.24/1.24  Horn                                    14
% 4.24/1.24  unary                                   10
% 4.24/1.24  binary                                  4
% 4.24/1.24  lits                                    27
% 4.24/1.24  lits eq                                 13
% 4.24/1.24  fd_pure                                 0
% 4.24/1.24  fd_pseudo                               0
% 4.24/1.24  fd_cond                                 1
% 4.24/1.24  fd_pseudo_cond                          4
% 4.24/1.24  AC symbols                              0
% 4.24/1.24  
% 4.24/1.24  ------ Schedule dynamic 5 is on 
% 4.24/1.24  
% 4.24/1.24  ------ no conjectures: strip conj schedule 
% 4.24/1.24  
% 4.24/1.24  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.24/1.24  
% 4.24/1.24  
% 4.24/1.24  ------ 
% 4.24/1.24  Current options:
% 4.24/1.24  ------ 
% 4.24/1.24  
% 4.24/1.24  
% 4.24/1.24  
% 4.24/1.24  
% 4.24/1.24  ------ Proving...
% 4.24/1.24  
% 4.24/1.24  
% 4.24/1.24  % SZS status Unsatisfiable for theBenchmark.p
% 4.24/1.24  
% 4.24/1.24  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.24/1.24  
% 4.24/1.25  
%------------------------------------------------------------------------------