TSTP Solution File: SWW442-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW442-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 7.70s 1.49s
% Output   : CNFRefutation 7.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   49 (  19 unt;  19 nHn;  47 RR)
%            Number of literals    :   88 (  44 equ;  23 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   20 (   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   :  101 (  29 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    x6 != x13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).

cnf(c_56,plain,
    x13 != x7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).

cnf(c_62,plain,
    x6 != x2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_14) ).

cnf(c_77,plain,
    heap(sep(lseg(x5,x14),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x13,x2),sep(lseg(x10,x11),sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x9,x15),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_29) ).

cnf(c_79,plain,
    sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).

cnf(c_80,plain,
    sep(lseg(X0,X0),X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).

cnf(c_85,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_87,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_232,plain,
    heap(sep(lseg(x13,x2),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x5,x14),emp))))))))))))))))))),
    inference(demodulation,[status(thm)],[c_77,c_79]) ).

cnf(c_765,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_79,c_87]) ).

cnf(c_780,plain,
    ( x13 = x15
    | x13 = x2 ),
    inference(superposition,[status(thm)],[c_232,c_85]) ).

cnf(c_784,plain,
    ( ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4))))
    | X0 = X1
    | X0 = X3 ),
    inference(superposition,[status(thm)],[c_79,c_85]) ).

cnf(c_816,plain,
    ( x13 = x2
    | heap(sep(lseg(x13,x2),sep(lseg(x13,x13),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x16),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x13),sep(lseg(x1,x5),sep(lseg(x4,x11),sep(lseg(x4,x13),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x5,x14),emp))))))))))))))))))) ),
    inference(superposition,[status(thm)],[c_780,c_232]) ).

cnf(c_968,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,nil),X2)))
    | heap(sep(lseg(X1,nil),sep(X0,X2))) ),
    inference(superposition,[status(thm)],[c_80,c_765]) ).

cnf(c_1192,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_79,c_968]) ).

cnf(c_1241,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4))))
    | X1 = X2
    | X1 = X3 ),
    inference(superposition,[status(thm)],[c_79,c_784]) ).

cnf(c_1656,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_79,c_1192]) ).

cnf(c_1696,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5)))))
    | X1 = X2
    | X1 = X4 ),
    inference(superposition,[status(thm)],[c_79,c_1241]) ).

cnf(c_2050,plain,
    ( x13 = x2
    | heap(sep(lseg(x13,x2),sep(lseg(x13,x16),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x13),sep(lseg(x1,x5),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x5,x14),emp)))))))))))))))))) ),
    inference(demodulation,[status(thm)],[c_816,c_79,c_80]) ).

cnf(c_2061,plain,
    ( x13 = x16
    | x13 = x2 ),
    inference(superposition,[status(thm)],[c_2050,c_85]) ).

cnf(c_2072,plain,
    ( x13 = x2
    | heap(sep(lseg(x13,x2),sep(lseg(x13,x13),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x2,x6),sep(lseg(x2,x13),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x13),sep(lseg(x1,x5),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x5,x14),emp)))))))))))))))))) ),
    inference(superposition,[status(thm)],[c_2061,c_2050]) ).

cnf(c_2092,plain,
    ( ~ heap(sep(X0,sep(X1,X2)))
    | heap(sep(lseg(nil,nil),sep(X1,sep(X0,X2)))) ),
    inference(superposition,[status(thm)],[c_80,c_1656]) ).

cnf(c_2099,plain,
    ( ~ heap(sep(X0,sep(X1,X2)))
    | heap(sep(X1,sep(X0,X2))) ),
    inference(demodulation,[status(thm)],[c_2092,c_80]) ).

cnf(c_2111,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,X3))))
    | heap(sep(X2,sep(X0,sep(X1,X3)))) ),
    inference(superposition,[status(thm)],[c_79,c_2099]) ).

cnf(c_2159,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,X3))))
    | heap(sep(X2,sep(X1,sep(X0,X3)))) ),
    inference(superposition,[status(thm)],[c_79,c_2111]) ).

cnf(c_2245,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,X3))))
    | heap(sep(X1,sep(X2,sep(X0,X3)))) ),
    inference(superposition,[status(thm)],[c_79,c_2159]) ).

cnf(c_2266,plain,
    heap(sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x13,x2),sep(lseg(x11,x9),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x5,x14),emp))))))))))))))))))),
    inference(superposition,[status(thm)],[c_232,c_2245]) ).

cnf(c_2268,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,X3))))
    | heap(sep(X0,sep(X2,sep(X1,X3)))) ),
    inference(superposition,[status(thm)],[c_79,c_2245]) ).

cnf(c_2290,plain,
    heap(sep(lseg(x13,x2),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x11,x9),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x5,x14),emp))))))))))))))))))),
    inference(superposition,[status(thm)],[c_232,c_2268]) ).

cnf(c_3309,plain,
    ( ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5)))))
    | X2 = X3
    | X2 = X4 ),
    inference(superposition,[status(thm)],[c_79,c_1696]) ).

cnf(c_3828,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_79,c_3309]) ).

cnf(c_6887,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_79,c_3828]) ).

cnf(c_7565,plain,
    ( x13 = x2
    | heap(sep(lseg(x13,x2),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x2,x13),sep(lseg(x2,x6),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x13),sep(lseg(x1,x5),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x5,x14),emp))))))))))))))))) ),
    inference(demodulation,[status(thm)],[c_2072,c_79,c_80]) ).

cnf(c_9559,plain,
    ( x6 = x2
    | x13 = x2 ),
    inference(superposition,[status(thm)],[c_7565,c_6887]) ).

cnf(c_9572,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_79,c_6887]) ).

cnf(c_9575,plain,
    x13 = x2,
    inference(forward_subsumption_resolution,[status(thm)],[c_9559,c_62]) ).

cnf(c_9887,plain,
    heap(sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x13,x13),sep(lseg(x11,x9),sep(lseg(x13,x6),sep(lseg(x13,x16),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x5,x14),emp))))))))))))))))))),
    inference(light_normalisation,[status(thm)],[c_2266,c_9575]) ).

cnf(c_9888,plain,
    heap(sep(lseg(x13,x15),sep(lseg(x13,x6),sep(lseg(x13,x16),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x5,x14),emp)))))))))))))))))),
    inference(demodulation,[status(thm)],[c_9887,c_79,c_80]) ).

cnf(c_9893,plain,
    ( x6 = x13
    | x13 = x15 ),
    inference(superposition,[status(thm)],[c_9888,c_85]) ).

cnf(c_9900,plain,
    ( x6 = x13
    | x13 = x16 ),
    inference(superposition,[status(thm)],[c_9888,c_1241]) ).

cnf(c_9920,plain,
    ( x6 = x13
    | x13 = x12 ),
    inference(superposition,[status(thm)],[c_9888,c_1696]) ).

cnf(c_9962,plain,
    x13 = x12,
    inference(forward_subsumption_resolution,[status(thm)],[c_9920,c_49]) ).

cnf(c_9963,plain,
    x13 = x16,
    inference(forward_subsumption_resolution,[status(thm)],[c_9900,c_49]) ).

cnf(c_9964,plain,
    x13 = x15,
    inference(forward_subsumption_resolution,[status(thm)],[c_9893,c_49]) ).

cnf(c_10274,plain,
    heap(sep(lseg(x13,x13),sep(lseg(x13,x13),sep(lseg(x13,x13),sep(lseg(x11,x9),sep(lseg(x13,x6),sep(lseg(x13,x13),sep(lseg(x13,x13),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x13),sep(lseg(x9,x13),sep(lseg(x1,x5),sep(lseg(x4,x11),sep(lseg(x4,x13),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x5,x14),emp))))))))))))))))))),
    inference(light_normalisation,[status(thm)],[c_2290,c_9575,c_9962,c_9963,c_9964]) ).

cnf(c_10275,plain,
    heap(sep(lseg(x13,x6),sep(lseg(x11,x9),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x13),sep(lseg(x9,x13),sep(lseg(x1,x5),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x5,x14),emp)))))))))))))),
    inference(demodulation,[status(thm)],[c_10274,c_79,c_80]) ).

cnf(c_12346,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_79,c_9572]) ).

cnf(c_12466,plain,
    x13 = x7,
    inference(superposition,[status(thm)],[c_10275,c_12346]) ).

cnf(c_12485,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12466,c_56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : SWW442-1 : TPTP v8.2.0. Released v5.2.0.
% 0.05/0.09  % Command  : run_iprover %s %d THM
% 0.10/0.28  % Computer : n032.cluster.edu
% 0.10/0.28  % Model    : x86_64 x86_64
% 0.10/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28  % Memory   : 8042.1875MB
% 0.10/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28  % CPULimit : 300
% 0.10/0.28  % WCLimit  : 300
% 0.10/0.28  % DateTime : Wed Jun 19 06:32:24 EDT 2024
% 0.10/0.28  % CPUTime  : 
% 0.14/0.37  Running first-order theorem proving
% 0.14/0.37  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
% 7.70/1.49  % SZS status Started for theBenchmark.p
% 7.70/1.49  % SZS status Unsatisfiable for theBenchmark.p
% 7.70/1.49  
% 7.70/1.49  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.70/1.49  
% 7.70/1.49  ------  iProver source info
% 7.70/1.49  
% 7.70/1.49  git: date: 2024-06-12 09:56:46 +0000
% 7.70/1.49  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.70/1.49  git: non_committed_changes: false
% 7.70/1.49  
% 7.70/1.49  ------ Parsing...successful
% 7.70/1.49  
% 7.70/1.49  
% 7.70/1.49  
% 7.70/1.49  ------ 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 
% 7.70/1.49  
% 7.70/1.49  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.70/1.49  
% 7.70/1.49  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.70/1.49  ------ Proving...
% 7.70/1.49  ------ Problem Properties 
% 7.70/1.49  
% 7.70/1.49  
% 7.70/1.49  clauses                                 40
% 7.70/1.49  conjectures                             0
% 7.70/1.49  EPR                                     28
% 7.70/1.49  Horn                                    37
% 7.70/1.49  unary                                   33
% 7.70/1.49  binary                                  4
% 7.70/1.49  lits                                    50
% 7.70/1.49  lits eq                                 36
% 7.70/1.49  fd_pure                                 0
% 7.70/1.49  fd_pseudo                               0
% 7.70/1.49  fd_cond                                 1
% 7.70/1.49  fd_pseudo_cond                          4
% 7.70/1.49  AC symbols                              0
% 7.70/1.49  
% 7.70/1.49  ------ Schedule dynamic 5 is on 
% 7.70/1.49  
% 7.70/1.49  ------ no conjectures: strip conj schedule 
% 7.70/1.49  
% 7.70/1.49  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 7.70/1.49  
% 7.70/1.49  
% 7.70/1.49  ------ 
% 7.70/1.49  Current options:
% 7.70/1.49  ------ 
% 7.70/1.49  
% 7.70/1.49  
% 7.70/1.49  
% 7.70/1.49  
% 7.70/1.49  ------ Proving...
% 7.70/1.49  
% 7.70/1.49  
% 7.70/1.49  % SZS status Unsatisfiable for theBenchmark.p
% 7.70/1.49  
% 7.70/1.49  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.70/1.49  
% 7.70/1.50  
%------------------------------------------------------------------------------