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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW442-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 10.45s 2.19s
% Output   : CNFRefutation 10.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   51 (  21 unt;  19 nHn;  47 RR)
%            Number of literals    :   90 (  46 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   :  108 (  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_671,plain,
    sep(X0,sep(X1,sep(X2,X3))) = sep(X1,sep(X2,sep(X0,X3))),
    inference(superposition,[status(thm)],[c_79,c_79]) ).

cnf(c_673,plain,
    sep(X0,sep(lseg(X1,X1),X2)) = sep(X0,X2),
    inference(superposition,[status(thm)],[c_79,c_80]) ).

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_673,c_671]) ).

cnf(c_2059,plain,
    ( x13 = x16
    | x13 = x2 ),
    inference(superposition,[status(thm)],[c_2050,c_85]) ).

cnf(c_2070,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_2059,c_2050]) ).

cnf(c_2090,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_2097,plain,
    ( ~ heap(sep(X0,sep(X1,X2)))
    | heap(sep(X1,sep(X0,X2))) ),
    inference(demodulation,[status(thm)],[c_2090,c_80]) ).

cnf(c_2107,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,X3))))
    | heap(sep(X2,sep(X0,sep(X1,X3)))) ),
    inference(superposition,[status(thm)],[c_79,c_2097]) ).

cnf(c_2206,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,X3))))
    | heap(sep(X2,sep(X1,sep(X0,X3)))) ),
    inference(superposition,[status(thm)],[c_79,c_2107]) ).

cnf(c_2241,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,X3))))
    | heap(sep(X1,sep(X2,sep(X0,X3)))) ),
    inference(superposition,[status(thm)],[c_79,c_2206]) ).

cnf(c_2262,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_2241]) ).

cnf(c_2264,plain,
    ( ~ heap(sep(X0,sep(X1,sep(X2,X3))))
    | heap(sep(X0,sep(X2,sep(X1,X3)))) ),
    inference(superposition,[status(thm)],[c_79,c_2241]) ).

cnf(c_2286,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_2264]) ).

cnf(c_3305,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_3835,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_3305]) ).

cnf(c_6896,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_3835]) ).

cnf(c_7586,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_2070,c_79,c_673,c_671]) ).

cnf(c_9541,plain,
    ( x6 = x2
    | x13 = x2 ),
    inference(superposition,[status(thm)],[c_7586,c_6896]) ).

cnf(c_9554,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_6896]) ).

cnf(c_9557,plain,
    x13 = x2,
    inference(forward_subsumption_resolution,[status(thm)],[c_9541,c_62]) ).

cnf(c_9867,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_2262,c_9557]) ).

cnf(c_9868,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_9867,c_80,c_671]) ).

cnf(c_9873,plain,
    ( x6 = x13
    | x13 = x15 ),
    inference(superposition,[status(thm)],[c_9868,c_85]) ).

cnf(c_9880,plain,
    ( x6 = x13
    | x13 = x16 ),
    inference(superposition,[status(thm)],[c_9868,c_1241]) ).

cnf(c_9900,plain,
    ( x6 = x13
    | x13 = x12 ),
    inference(superposition,[status(thm)],[c_9868,c_1696]) ).

cnf(c_9942,plain,
    x13 = x12,
    inference(forward_subsumption_resolution,[status(thm)],[c_9900,c_49]) ).

cnf(c_9943,plain,
    x13 = x16,
    inference(forward_subsumption_resolution,[status(thm)],[c_9880,c_49]) ).

cnf(c_9944,plain,
    x13 = x15,
    inference(forward_subsumption_resolution,[status(thm)],[c_9873,c_49]) ).

cnf(c_10254,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_2286,c_9557,c_9942,c_9943,c_9944]) ).

cnf(c_10255,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_10254,c_79,c_80,c_673,c_671]) ).

cnf(c_12326,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_9554]) ).

cnf(c_12446,plain,
    x13 = x7,
    inference(superposition,[status(thm)],[c_10255,c_12326]) ).

cnf(c_12465,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12446,c_56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW442-1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n011.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 : Thu May  2 22:21:03 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 10.45/2.19  % SZS status Started for theBenchmark.p
% 10.45/2.19  % SZS status Unsatisfiable for theBenchmark.p
% 10.45/2.19  
% 10.45/2.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.45/2.19  
% 10.45/2.19  ------  iProver source info
% 10.45/2.19  
% 10.45/2.19  git: date: 2024-05-02 19:28:25 +0000
% 10.45/2.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.45/2.19  git: non_committed_changes: false
% 10.45/2.19  
% 10.45/2.19  ------ Parsing...successful
% 10.45/2.19  
% 10.45/2.19  
% 10.45/2.19  
% 10.45/2.19  ------ 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 
% 10.45/2.19  
% 10.45/2.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 10.45/2.19  
% 10.45/2.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.45/2.19  ------ Proving...
% 10.45/2.19  ------ Problem Properties 
% 10.45/2.19  
% 10.45/2.19  
% 10.45/2.19  clauses                                 40
% 10.45/2.19  conjectures                             0
% 10.45/2.19  EPR                                     28
% 10.45/2.19  Horn                                    37
% 10.45/2.19  unary                                   33
% 10.45/2.19  binary                                  4
% 10.45/2.19  lits                                    50
% 10.45/2.19  lits eq                                 36
% 10.45/2.19  fd_pure                                 0
% 10.45/2.19  fd_pseudo                               0
% 10.45/2.19  fd_cond                                 1
% 10.45/2.19  fd_pseudo_cond                          4
% 10.45/2.19  AC symbols                              0
% 10.45/2.19  
% 10.45/2.19  ------ Schedule dynamic 5 is on 
% 10.45/2.19  
% 10.45/2.19  ------ no conjectures: strip conj schedule 
% 10.45/2.19  
% 10.45/2.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 10.45/2.19  
% 10.45/2.19  
% 10.45/2.19  ------ 
% 10.45/2.19  Current options:
% 10.45/2.19  ------ 
% 10.45/2.19  
% 10.45/2.19  
% 10.45/2.19  
% 10.45/2.19  
% 10.45/2.19  ------ Proving...
% 10.45/2.19  
% 10.45/2.19  
% 10.45/2.19  % SZS status Unsatisfiable for theBenchmark.p
% 10.45/2.19  
% 10.45/2.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.45/2.19  
% 10.45/2.19  
%------------------------------------------------------------------------------