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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW436-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 03:24:59 EDT 2024

% Result   : Unsatisfiable 20.79s 3.62s
% Output   : CNFRefutation 20.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   48 (  17 unt;  14 nHn;  44 RR)
%            Number of literals    :   86 (  33 equ;  25 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    :   17 (  17 usr;  15 con; 0-2 aty)
%            Number of variables   :  119 (  15 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_67,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_172,plain,
    heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(demodulation,[status(thm)],[c_57,c_59]) ).

cnf(c_491,plain,
    sep(X0,sep(X1,sep(X2,X3))) = sep(X1,sep(X2,sep(X0,X3))),
    inference(superposition,[status(thm)],[c_59,c_59]) ).

cnf(c_493,plain,
    sep(X0,sep(lseg(X1,X1),X2)) = sep(X0,X2),
    inference(superposition,[status(thm)],[c_59,c_60]) ).

cnf(c_615,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_59,c_67]) ).

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_59,c_65]) ).

cnf(c_859,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,nil),X2)))
    | heap(sep(lseg(X1,nil),sep(X0,X2))) ),
    inference(superposition,[status(thm)],[c_60,c_615]) ).

cnf(c_991,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_59,c_859]) ).

cnf(c_1121,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4))))
    | X1 = X2
    | X1 = X3 ),
    inference(superposition,[status(thm)],[c_59,c_633]) ).

cnf(c_1472,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_59,c_991]) ).

cnf(c_1632,plain,
    ( x13 = x4
    | x4 = x9 ),
    inference(superposition,[status(thm)],[c_172,c_1121]) ).

cnf(c_1639,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5)))))
    | X1 = X2
    | X1 = X4 ),
    inference(superposition,[status(thm)],[c_59,c_1121]) ).

cnf(c_1658,plain,
    ( x4 = x9
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x4,x4),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x4,x2),emp))))))))))))))))) ),
    inference(superposition,[status(thm)],[c_1632,c_172]) ).

cnf(c_1977,plain,
    ( ~ heap(sep(X0,sep(X1,X2)))
    | heap(sep(lseg(nil,nil),sep(X1,sep(X0,X2)))) ),
    inference(superposition,[status(thm)],[c_60,c_1472]) ).

cnf(c_1991,plain,
    ( ~ heap(sep(X0,sep(X1,X2)))
    | heap(sep(X1,sep(X0,X2))) ),
    inference(demodulation,[status(thm)],[c_1977,c_60]) ).

cnf(c_2000,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,X3))))
    | heap(sep(X2,sep(X0,sep(X1,X3)))) ),
    inference(superposition,[status(thm)],[c_59,c_1991]) ).

cnf(c_2046,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,X3))))
    | heap(sep(X2,sep(X1,sep(X0,X3)))) ),
    inference(superposition,[status(thm)],[c_59,c_2000]) ).

cnf(c_2052,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_59,c_2000]) ).

cnf(c_2105,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,X4)))))
    | heap(sep(X3,sep(X1,sep(X0,sep(X2,X4))))) ),
    inference(superposition,[status(thm)],[c_59,c_2046]) ).

cnf(c_2291,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_59,c_2052]) ).

cnf(c_2326,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,X4)))))
    | heap(sep(X3,sep(X2,sep(X0,sep(X1,X4))))) ),
    inference(superposition,[status(thm)],[c_59,c_2105]) ).

cnf(c_2488,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,X4)))))
    | heap(sep(X2,sep(X0,sep(X3,sep(X1,X4))))) ),
    inference(superposition,[status(thm)],[c_59,c_2291]) ).

cnf(c_2576,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,X4)))))
    | heap(sep(X3,sep(X2,sep(X1,sep(X0,X4))))) ),
    inference(superposition,[status(thm)],[c_59,c_2326]) ).

cnf(c_2721,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(X4,X5))))))
    | heap(sep(X2,sep(X0,sep(X4,sep(X1,sep(X3,X5)))))) ),
    inference(superposition,[status(thm)],[c_59,c_2488]) ).

cnf(c_2768,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(X4,X5))))))
    | heap(sep(X4,sep(X2,sep(X1,sep(X0,sep(X3,X5)))))) ),
    inference(superposition,[status(thm)],[c_59,c_2576]) ).

cnf(c_3167,plain,
    ( ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5)))))
    | X2 = X3
    | X2 = X4 ),
    inference(superposition,[status(thm)],[c_59,c_1639]) ).

cnf(c_3173,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(X4,sep(lseg(X1,X5),X6))))))
    | X1 = X2
    | X1 = X5 ),
    inference(superposition,[status(thm)],[c_59,c_1639]) ).

cnf(c_4430,plain,
    ( x4 = x9
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))) ),
    inference(demodulation,[status(thm)],[c_1658,c_59,c_493,c_491]) ).

cnf(c_4458,plain,
    ( x4 = x2
    | x4 = x9 ),
    inference(superposition,[status(thm)],[c_4430,c_1121]) ).

cnf(c_4957,plain,
    ( x4 = x2
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x4),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x4),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))) ),
    inference(superposition,[status(thm)],[c_4458,c_172]) ).

cnf(c_4964,plain,
    heap(sep(lseg(x4,x13),sep(lseg(x6,x2),sep(lseg(x1,x5),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(superposition,[status(thm)],[c_172,c_2721]) ).

cnf(c_5019,plain,
    heap(sep(lseg(x1,x5),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x6,x2),sep(lseg(x1,x6),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(superposition,[status(thm)],[c_172,c_2768]) ).

cnf(c_33880,plain,
    ( x4 = x2
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))) ),
    inference(demodulation,[status(thm)],[c_4957,c_59,c_493,c_491]) ).

cnf(c_34008,plain,
    ( x6 = x4
    | x4 = x7
    | x4 = x2 ),
    inference(superposition,[status(thm)],[c_33880,c_1639]) ).

cnf(c_34250,plain,
    x4 = x2,
    inference(forward_subsumption_resolution,[status(thm)],[c_34008,c_53,c_52]) ).

cnf(c_34492,plain,
    heap(sep(lseg(x4,x13),sep(lseg(x6,x4),sep(lseg(x1,x5),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x15),sep(lseg(x4,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x4),emp))))))))))))))))),
    inference(light_normalisation,[status(thm)],[c_4964,c_34250]) ).

cnf(c_34493,plain,
    heap(sep(lseg(x6,x4),sep(lseg(x4,x15),sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x4),emp))))))))))))))))),
    inference(demodulation,[status(thm)],[c_34492,c_491]) ).

cnf(c_34854,plain,
    x4 = x9,
    inference(superposition,[status(thm)],[c_34493,c_3167]) ).

cnf(c_35212,plain,
    heap(sep(lseg(x1,x5),sep(lseg(x4,x13),sep(lseg(x4,x4),sep(lseg(x6,x4),sep(lseg(x1,x6),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x15),sep(lseg(x4,x4),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x4),emp))))))))))))))))),
    inference(light_normalisation,[status(thm)],[c_5019,c_34250,c_34854]) ).

cnf(c_35213,plain,
    heap(sep(lseg(x6,x4),sep(lseg(x4,x6),sep(lseg(x4,x15),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x4),emp))))))))))))))),
    inference(demodulation,[status(thm)],[c_35212,c_59,c_493,c_491]) ).

cnf(c_35587,plain,
    ( x6 = x4
    | x4 = x7 ),
    inference(superposition,[status(thm)],[c_35213,c_3173]) ).

cnf(c_35593,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_35587,c_53,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWW436-1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n004.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 22:12:18 EDT 2024
% 0.16/0.31  % CPUTime  : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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
% 20.79/3.62  % SZS status Started for theBenchmark.p
% 20.79/3.62  % SZS status Unsatisfiable for theBenchmark.p
% 20.79/3.62  
% 20.79/3.62  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.79/3.62  
% 20.79/3.62  ------  iProver source info
% 20.79/3.62  
% 20.79/3.62  git: date: 2024-05-02 19:28:25 +0000
% 20.79/3.62  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 20.79/3.62  git: non_committed_changes: false
% 20.79/3.62  
% 20.79/3.62  ------ Parsing...successful
% 20.79/3.62  
% 20.79/3.62  
% 20.79/3.62  
% 20.79/3.62  ------ 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 
% 20.79/3.62  
% 20.79/3.62  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 20.79/3.62  
% 20.79/3.62  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 20.79/3.62  ------ Proving...
% 20.79/3.62  ------ Problem Properties 
% 20.79/3.62  
% 20.79/3.62  
% 20.79/3.62  clauses                                 20
% 20.79/3.62  conjectures                             0
% 20.79/3.62  EPR                                     8
% 20.79/3.62  Horn                                    17
% 20.79/3.62  unary                                   13
% 20.79/3.62  binary                                  4
% 20.79/3.62  lits                                    30
% 20.79/3.62  lits eq                                 16
% 20.79/3.62  fd_pure                                 0
% 20.79/3.62  fd_pseudo                               0
% 20.79/3.62  fd_cond                                 1
% 20.79/3.62  fd_pseudo_cond                          4
% 20.79/3.62  AC symbols                              0
% 20.79/3.62  
% 20.79/3.62  ------ Schedule dynamic 5 is on 
% 20.79/3.62  
% 20.79/3.62  ------ no conjectures: strip conj schedule 
% 20.79/3.62  
% 20.79/3.62  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 20.79/3.62  
% 20.79/3.62  
% 20.79/3.62  ------ 
% 20.79/3.62  Current options:
% 20.79/3.62  ------ 
% 20.79/3.62  
% 20.79/3.62  
% 20.79/3.62  
% 20.79/3.62  
% 20.79/3.62  ------ Proving...
% 20.79/3.62  
% 20.79/3.62  
% 20.79/3.62  % SZS status Unsatisfiable for theBenchmark.p
% 20.79/3.62  
% 20.79/3.62  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.79/3.62  
% 20.79/3.63  
%------------------------------------------------------------------------------