TSTP Solution File: SWW443-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW443-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 7.48s 1.73s
% Output   : CNFRefutation 7.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   39 (  21 unt;  10 nHn;  37 RR)
%            Number of literals    :   62 (  30 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   15 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  16 con; 0-2 aty)
%            Number of variables   :   59 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_56,plain,
    x2 != x8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).

cnf(c_67,plain,
    x14 != x1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_19) ).

cnf(c_70,plain,
    x15 != x5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_22) ).

cnf(c_71,plain,
    heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_23) ).

cnf(c_73,plain,
    sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).

cnf(c_74,plain,
    sep(lseg(X0,X0),X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).

cnf(c_79,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_81,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_214,plain,
    heap(sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))),
    inference(demodulation,[status(thm)],[c_71,c_73]) ).

cnf(c_651,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_73,c_81]) ).

cnf(c_782,plain,
    ( x3 = x1
    | x14 = x1 ),
    inference(superposition,[status(thm)],[c_214,c_79]) ).

cnf(c_786,plain,
    ( ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4))))
    | X0 = X1
    | X0 = X3 ),
    inference(superposition,[status(thm)],[c_73,c_79]) ).

cnf(c_789,plain,
    x3 = x1,
    inference(forward_subsumption_resolution,[status(thm)],[c_782,c_67]) ).

cnf(c_793,plain,
    heap(sep(lseg(x1,x14),sep(lseg(x1,x1),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))),
    inference(demodulation,[status(thm)],[c_214,c_789]) ).

cnf(c_1020,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,nil),X2)))
    | heap(sep(lseg(X1,nil),sep(X0,X2))) ),
    inference(superposition,[status(thm)],[c_74,c_651]) ).

cnf(c_1117,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_73,c_1020]) ).

cnf(c_1231,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4))))
    | X1 = X2
    | X1 = X3 ),
    inference(superposition,[status(thm)],[c_73,c_786]) ).

cnf(c_1497,plain,
    heap(sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))),
    inference(demodulation,[status(thm)],[c_793,c_73,c_74]) ).

cnf(c_1539,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_73,c_1117]) ).

cnf(c_1671,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5)))))
    | X1 = X2
    | X1 = X4 ),
    inference(superposition,[status(thm)],[c_73,c_1231]) ).

cnf(c_1981,plain,
    ( ~ heap(sep(X0,sep(X1,X2)))
    | heap(sep(lseg(nil,nil),sep(X1,sep(X0,X2)))) ),
    inference(superposition,[status(thm)],[c_74,c_1539]) ).

cnf(c_1988,plain,
    ( ~ heap(sep(X0,sep(X1,X2)))
    | heap(sep(X1,sep(X0,X2))) ),
    inference(demodulation,[status(thm)],[c_1981,c_74]) ).

cnf(c_1995,plain,
    heap(sep(lseg(x2,x5),sep(lseg(x1,x14),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))),
    inference(superposition,[status(thm)],[c_1497,c_1988]) ).

cnf(c_1999,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,X3))))
    | heap(sep(X2,sep(X0,sep(X1,X3)))) ),
    inference(superposition,[status(thm)],[c_73,c_1988]) ).

cnf(c_2016,plain,
    heap(sep(lseg(x2,x18),sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))),
    inference(superposition,[status(thm)],[c_1497,c_1999]) ).

cnf(c_3101,plain,
    ( x5 = x2
    | x2 = x8 ),
    inference(superposition,[status(thm)],[c_1497,c_1671]) ).

cnf(c_3105,plain,
    ( ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5)))))
    | X2 = X3
    | X2 = X4 ),
    inference(superposition,[status(thm)],[c_73,c_1671]) ).

cnf(c_3114,plain,
    x5 = x2,
    inference(forward_subsumption_resolution,[status(thm)],[c_3101,c_56]) ).

cnf(c_3126,plain,
    x15 != x2,
    inference(demodulation,[status(thm)],[c_70,c_3114]) ).

cnf(c_5730,plain,
    heap(sep(lseg(x2,x2),sep(lseg(x1,x14),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x9,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp))))))))))))),
    inference(light_normalisation,[status(thm)],[c_1995,c_3114]) ).

cnf(c_5731,plain,
    heap(sep(lseg(x1,x14),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x9,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp)))))))))))),
    inference(demodulation,[status(thm)],[c_5730,c_74]) ).

cnf(c_5755,plain,
    ( x18 = x2
    | x2 = x8 ),
    inference(superposition,[status(thm)],[c_5731,c_1231]) ).

cnf(c_5775,plain,
    ( x2 = x8
    | x2 = x12 ),
    inference(superposition,[status(thm)],[c_5731,c_3105]) ).

cnf(c_5776,plain,
    x2 = x12,
    inference(forward_subsumption_resolution,[status(thm)],[c_5775,c_56]) ).

cnf(c_5777,plain,
    x18 = x2,
    inference(forward_subsumption_resolution,[status(thm)],[c_5755,c_56]) ).

cnf(c_6164,plain,
    heap(sep(lseg(x2,x2),sep(lseg(x1,x14),sep(lseg(x2,x2),sep(lseg(x2,x8),sep(lseg(x2,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x2,x15),sep(lseg(x9,x2),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp))))))))))))),
    inference(light_normalisation,[status(thm)],[c_2016,c_3114,c_5776,c_5777]) ).

cnf(c_6165,plain,
    heap(sep(lseg(x1,x14),sep(lseg(x2,x13),sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x7,x2),sep(lseg(x10,x1),emp)))))))))),
    inference(demodulation,[status(thm)],[c_6164,c_73,c_74]) ).

cnf(c_6209,plain,
    ( x15 = x2
    | x2 = x8 ),
    inference(superposition,[status(thm)],[c_6165,c_3105]) ).

cnf(c_6210,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_6209,c_56,c_3126]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.16  % Problem  : SWW443-1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.16  % Command  : run_iprover %s %d THM
% 0.16/0.37  % Computer : n025.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Wed Jun 19 07:25:54 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.24/0.51  Running first-order theorem proving
% 0.24/0.51  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
% 7.48/1.73  % SZS status Started for theBenchmark.p
% 7.48/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 7.48/1.73  
% 7.48/1.73  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.48/1.73  
% 7.48/1.73  ------  iProver source info
% 7.48/1.73  
% 7.48/1.73  git: date: 2024-06-12 09:56:46 +0000
% 7.48/1.73  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.48/1.73  git: non_committed_changes: false
% 7.48/1.73  
% 7.48/1.73  ------ Parsing...successful
% 7.48/1.73  
% 7.48/1.73  
% 7.48/1.73  
% 7.48/1.73  ------ 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 
% 7.48/1.73  
% 7.48/1.73  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.48/1.73  
% 7.48/1.73  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.48/1.73  ------ Proving...
% 7.48/1.73  ------ Problem Properties 
% 7.48/1.73  
% 7.48/1.73  
% 7.48/1.73  clauses                                 34
% 7.48/1.73  conjectures                             0
% 7.48/1.73  EPR                                     22
% 7.48/1.73  Horn                                    31
% 7.48/1.73  unary                                   27
% 7.48/1.73  binary                                  4
% 7.48/1.73  lits                                    44
% 7.48/1.73  lits eq                                 30
% 7.48/1.73  fd_pure                                 0
% 7.48/1.73  fd_pseudo                               0
% 7.48/1.73  fd_cond                                 1
% 7.48/1.73  fd_pseudo_cond                          4
% 7.48/1.73  AC symbols                              0
% 7.48/1.73  
% 7.48/1.73  ------ Schedule dynamic 5 is on 
% 7.48/1.73  
% 7.48/1.73  ------ no conjectures: strip conj schedule 
% 7.48/1.73  
% 7.48/1.73  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 7.48/1.73  
% 7.48/1.73  
% 7.48/1.73  ------ 
% 7.48/1.73  Current options:
% 7.48/1.73  ------ 
% 7.48/1.73  
% 7.48/1.73  
% 7.48/1.73  
% 7.48/1.73  
% 7.48/1.73  ------ Proving...
% 7.48/1.73  
% 7.48/1.73  
% 7.48/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 7.48/1.73  
% 7.48/1.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.48/1.73  
% 7.48/1.73  
%------------------------------------------------------------------------------