TSTP Solution File: SWW445-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW445-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 18:17:12 EDT 2024

% Result   : Unsatisfiable 20.66s 3.63s
% Output   : CNFRefutation 20.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   40 (  13 unt;  17 nHn;  38 RR)
%            Number of literals    :   78 (  38 equ;  23 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   16 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  18 con; 0-2 aty)
%            Number of variables   :  117 (  41 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,plain,
    x3 != x20,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).

cnf(c_67,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x19,x1),sep(lseg(x4,x12),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x2,x18),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_19) ).

cnf(c_69,plain,
    sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).

cnf(c_70,plain,
    sep(lseg(X0,X0),X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).

cnf(c_75,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_77,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_202,plain,
    heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x11),sep(lseg(x12,x15),sep(lseg(x17,x14),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x4,x12),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x7,x16),sep(lseg(x11,x12),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))))),
    inference(demodulation,[status(thm)],[c_67,c_69]) ).

cnf(c_621,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_69,c_77]) ).

cnf(c_639,plain,
    ( ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4))))
    | X0 = X1
    | X0 = X3 ),
    inference(superposition,[status(thm)],[c_69,c_75]) ).

cnf(c_1056,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,nil),X2)))
    | heap(sep(lseg(X1,nil),sep(X0,X2))) ),
    inference(superposition,[status(thm)],[c_70,c_621]) ).

cnf(c_1099,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_69,c_1056]) ).

cnf(c_1350,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4))))
    | X1 = X2
    | X1 = X3 ),
    inference(superposition,[status(thm)],[c_69,c_639]) ).

cnf(c_1498,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_69,c_1099]) ).

cnf(c_1835,plain,
    ( x20 = x12
    | x11 = x12 ),
    inference(superposition,[status(thm)],[c_202,c_1350]) ).

cnf(c_1842,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5)))))
    | X1 = X2
    | X1 = X4 ),
    inference(superposition,[status(thm)],[c_69,c_1350]) ).

cnf(c_1855,plain,
    ( x20 = x12
    | heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x12),sep(lseg(x12,x15),sep(lseg(x17,x14),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x4,x12),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x7,x16),sep(lseg(x12,x12),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))))) ),
    inference(superposition,[status(thm)],[c_1835,c_202]) ).

cnf(c_1997,plain,
    ( ~ heap(sep(X0,sep(X1,X2)))
    | heap(sep(lseg(nil,nil),sep(X1,sep(X0,X2)))) ),
    inference(superposition,[status(thm)],[c_70,c_1498]) ).

cnf(c_2040,plain,
    ( ~ heap(sep(X0,sep(X1,X2)))
    | heap(sep(X1,sep(X0,X2))) ),
    inference(demodulation,[status(thm)],[c_1997,c_70]) ).

cnf(c_2051,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,X3))))
    | heap(sep(X2,sep(X0,sep(X1,X3)))) ),
    inference(superposition,[status(thm)],[c_69,c_2040]) ).

cnf(c_2075,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,X4)))))
    | heap(sep(X3,sep(X0,sep(X1,sep(X2,X4))))) ),
    inference(superposition,[status(thm)],[c_69,c_2051]) ).

cnf(c_2292,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,X4)))))
    | heap(sep(X3,sep(X0,sep(X2,sep(X1,X4))))) ),
    inference(superposition,[status(thm)],[c_69,c_2075]) ).

cnf(c_3323,plain,
    ( x20 = x12
    | x12 = x15 ),
    inference(superposition,[status(thm)],[c_202,c_1842]) ).

cnf(c_3327,plain,
    ( ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5)))))
    | X2 = X3
    | X2 = X4 ),
    inference(superposition,[status(thm)],[c_69,c_1842]) ).

cnf(c_3622,plain,
    ( ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(X4,sep(lseg(X2,X5),X6))))))
    | X2 = X3
    | X2 = X5 ),
    inference(superposition,[status(thm)],[c_69,c_3327]) ).

cnf(c_4912,plain,
    ( x20 = x12
    | heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x17,x14),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x4,x12),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x7,x16),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))) ),
    inference(demodulation,[status(thm)],[c_1855,c_69,c_70]) ).

cnf(c_4939,plain,
    ( x20 = x12
    | heap(sep(lseg(x17,x14),sep(lseg(x19,x1),sep(lseg(x12,x15),sep(lseg(x12,x20),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x4,x12),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x7,x16),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))) ),
    inference(superposition,[status(thm)],[c_4912,c_2292]) ).

cnf(c_6202,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),sep(lseg(X3,X5),X6))))))
    | X3 = X4
    | X3 = X5 ),
    inference(superposition,[status(thm)],[c_69,c_3622]) ).

cnf(c_7480,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),sep(X5,sep(lseg(X3,X6),X7)))))))
    | X3 = X4
    | X3 = X6 ),
    inference(superposition,[status(thm)],[c_69,c_6202]) ).

cnf(c_11252,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(lseg(X4,X5),sep(lseg(X4,X6),X7)))))))
    | X4 = X5
    | X4 = X6 ),
    inference(superposition,[status(thm)],[c_69,c_7480]) ).

cnf(c_11420,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(lseg(X4,X5),sep(X6,sep(lseg(X4,X7),X8))))))))
    | X4 = X5
    | X4 = X7 ),
    inference(superposition,[status(thm)],[c_69,c_11252]) ).

cnf(c_23762,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(X4,sep(lseg(X5,X6),sep(lseg(X5,X7),X8))))))))
    | X5 = X6
    | X5 = X7 ),
    inference(superposition,[status(thm)],[c_69,c_11420]) ).

cnf(c_35881,plain,
    ( x3 = x20
    | x3 = x12 ),
    inference(superposition,[status(thm)],[c_202,c_23762]) ).

cnf(c_35903,plain,
    x3 = x12,
    inference(forward_subsumption_resolution,[status(thm)],[c_35881,c_51]) ).

cnf(c_35912,plain,
    x20 != x12,
    inference(demodulation,[status(thm)],[c_51,c_35903]) ).

cnf(c_35914,plain,
    x12 = x15,
    inference(backward_subsumption_resolution,[status(thm)],[c_3323,c_35912]) ).

cnf(c_35982,plain,
    heap(sep(lseg(x17,x14),sep(lseg(x19,x1),sep(lseg(x12,x15),sep(lseg(x12,x20),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x4,x12),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x7,x16),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))),
    inference(global_subsumption_just,[status(thm)],[c_4939,c_4939,c_35912]) ).

cnf(c_35984,plain,
    heap(sep(lseg(x17,x14),sep(lseg(x19,x1),sep(lseg(x12,x12),sep(lseg(x12,x20),sep(lseg(x12,x20),sep(lseg(x12,x12),sep(lseg(x4,x12),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x7,x16),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))),
    inference(light_normalisation,[status(thm)],[c_35982,c_35903,c_35914]) ).

cnf(c_35985,plain,
    heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x20),sep(lseg(x17,x14),sep(lseg(x4,x12),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x7,x16),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))),
    inference(demodulation,[status(thm)],[c_35984,c_69,c_70]) ).

cnf(c_36009,plain,
    x20 = x12,
    inference(superposition,[status(thm)],[c_35985,c_1350]) ).

cnf(c_36299,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_36009,c_35912]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : SWW445-1 : TPTP v8.2.0. Released v5.2.0.
% 0.09/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jun 19 09:22:39 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.44  Running first-order theorem proving
% 0.20/0.45  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
% 20.66/3.63  % SZS status Started for theBenchmark.p
% 20.66/3.63  % SZS status Unsatisfiable for theBenchmark.p
% 20.66/3.63  
% 20.66/3.63  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.66/3.63  
% 20.66/3.63  ------  iProver source info
% 20.66/3.63  
% 20.66/3.63  git: date: 2024-06-12 09:56:46 +0000
% 20.66/3.63  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 20.66/3.63  git: non_committed_changes: false
% 20.66/3.63  
% 20.66/3.63  ------ Parsing...successful
% 20.66/3.63  
% 20.66/3.63  
% 20.66/3.63  
% 20.66/3.63  ------ 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 
% 20.66/3.63  
% 20.66/3.63  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 20.66/3.63  
% 20.66/3.63  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 20.66/3.63  ------ Proving...
% 20.66/3.63  ------ Problem Properties 
% 20.66/3.63  
% 20.66/3.63  
% 20.66/3.63  clauses                                 30
% 20.66/3.63  conjectures                             0
% 20.66/3.63  EPR                                     18
% 20.66/3.63  Horn                                    27
% 20.66/3.63  unary                                   23
% 20.66/3.63  binary                                  4
% 20.66/3.63  lits                                    40
% 20.66/3.63  lits eq                                 26
% 20.66/3.63  fd_pure                                 0
% 20.66/3.63  fd_pseudo                               0
% 20.66/3.63  fd_cond                                 1
% 20.66/3.63  fd_pseudo_cond                          4
% 20.66/3.63  AC symbols                              0
% 20.66/3.63  
% 20.66/3.63  ------ Schedule dynamic 5 is on 
% 20.66/3.63  
% 20.66/3.63  ------ no conjectures: strip conj schedule 
% 20.66/3.63  
% 20.66/3.63  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 20.66/3.63  
% 20.66/3.63  
% 20.66/3.63  ------ 
% 20.66/3.63  Current options:
% 20.66/3.63  ------ 
% 20.66/3.63  
% 20.66/3.63  
% 20.66/3.63  
% 20.66/3.63  
% 20.66/3.63  ------ Proving...
% 20.66/3.63  
% 20.66/3.63  
% 20.66/3.63  % SZS status Unsatisfiable for theBenchmark.p
% 20.66/3.63  
% 20.66/3.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.66/3.63  
% 20.66/3.64  
%------------------------------------------------------------------------------