TSTP Solution File: SWW445-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWW445-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:09:25 EDT 2023

% Result   : Unsatisfiable 0.15s 0.62s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   31 (  15 unt;  16 nHn;  25 RR)
%            Number of literals    :   54 (  37 equ;   9 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    :   19 (  19 usr;  17 con; 0-2 aty)
%            Number of variables   :   58 (  18 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(wellformedness_5,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
    file('/export/starexec/sandbox2/tmp/tmp.wwSaoXkGNO/E---3.1_29096.p',wellformedness_5) ).

cnf(associative_commutative,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    file('/export/starexec/sandbox2/tmp/tmp.wwSaoXkGNO/E---3.1_29096.p',associative_commutative) ).

cnf(premise_19,hypothesis,
    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/tmp/tmp.wwSaoXkGNO/E---3.1_29096.p',premise_19) ).

cnf(normalization,axiom,
    sep(lseg(X1,X1),X2) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.wwSaoXkGNO/E---3.1_29096.p',normalization) ).

cnf(premise_3,hypothesis,
    x3 != x20,
    file('/export/starexec/sandbox2/tmp/tmp.wwSaoXkGNO/E---3.1_29096.p',premise_3) ).

cnf(c_0_5,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
    wellformedness_5 ).

cnf(c_0_6,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    associative_commutative ).

cnf(c_0_7,plain,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(lseg(X1,X2),sep(X4,sep(lseg(X1,X3),X5)))) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,hypothesis,
    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))))))))))))))),
    premise_19 ).

cnf(c_0_9,plain,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(X4,sep(lseg(X1,X3),sep(lseg(X1,X2),X5)))) ),
    inference(spm,[status(thm)],[c_0_7,c_0_6]) ).

cnf(c_0_10,hypothesis,
    heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x11),sep(lseg(x12,x15),sep(lseg(x17,x14),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]) ).

cnf(c_0_11,plain,
    sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X1,sep(X2,X4))),
    inference(spm,[status(thm)],[c_0_6,c_0_6]) ).

cnf(c_0_12,hypothesis,
    ( x12 = x20
    | x11 = x12 ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,axiom,
    sep(lseg(X1,X1),X2) = X2,
    normalization ).

cnf(c_0_14,plain,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(X4,sep(X5,sep(lseg(X1,X2),sep(lseg(X1,X3),X6))))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_11]) ).

cnf(c_0_15,hypothesis,
    ( x12 = x20
    | heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x17,x14),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_12]),c_0_13]),c_0_13]) ).

cnf(c_0_16,plain,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(X4,sep(X5,sep(lseg(X1,X3),sep(X6,sep(lseg(X1,X2),X7)))))) ),
    inference(spm,[status(thm)],[c_0_14,c_0_6]) ).

cnf(c_0_17,plain,
    sep(X1,sep(X2,sep(X3,sep(X4,X5)))) = sep(X3,sep(X2,sep(X4,sep(X1,X5)))),
    inference(spm,[status(thm)],[c_0_11,c_0_11]) ).

cnf(c_0_18,hypothesis,
    ( x12 = x20
    | x15 = x12 ),
    inference(spm,[status(thm)],[c_0_9,c_0_15]) ).

cnf(c_0_19,plain,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(X4,sep(X5,sep(X6,sep(X7,sep(lseg(X1,X2),sep(lseg(X1,X3),X8))))))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,hypothesis,
    ( x12 = x20
    | heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x17,x14),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x5,x17),emp)))))))))))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_18]),c_0_13]) ).

cnf(c_0_21,hypothesis,
    x3 != x20,
    premise_3 ).

cnf(c_0_22,hypothesis,
    ( x12 = x20
    | x3 = x12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_23,hypothesis,
    ( x15 = x12
    | x11 = x12 ),
    inference(spm,[status(thm)],[c_0_14,c_0_10]) ).

cnf(c_0_24,hypothesis,
    ( x12 = x20
    | heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x20),sep(lseg(x12,x11),sep(lseg(x12,x15),sep(lseg(x17,x14),sep(lseg(x4,x12),sep(lseg(x11,x12),sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x5,x17),emp)))))))))))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_22]),c_0_13]),c_0_6]),c_0_6]),c_0_6]),c_0_6]) ).

cnf(c_0_25,hypothesis,
    ( x11 = x12
    | heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x11),sep(lseg(x17,x14),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x5,x17),emp)))))))))))))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_23]),c_0_13]) ).

cnf(c_0_26,hypothesis,
    x12 = x20,
    inference(spm,[status(thm)],[c_0_9,c_0_24]) ).

cnf(c_0_27,hypothesis,
    ( x11 = x20
    | heap(sep(lseg(x19,x1),sep(lseg(x20,x11),sep(lseg(x17,x14),sep(lseg(x4,x20),sep(lseg(x3,x20),sep(lseg(x3,x20),sep(lseg(x11,x20),sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_13]) ).

cnf(c_0_28,hypothesis,
    x11 = x20,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_27]),c_0_21]) ).

cnf(c_0_29,hypothesis,
    heap(sep(lseg(x19,x1),sep(lseg(x20,x15),sep(lseg(x17,x14),sep(lseg(x4,x20),sep(lseg(x3,x20),sep(lseg(x3,x20),sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x5,x17),emp)))))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_28]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_13]),c_0_13]),c_0_13]) ).

cnf(c_0_30,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_29]),c_0_21]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem    : SWW445-1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n024.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 2400
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon Oct  2 22:53:12 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 0.15/0.40  Running first-order theorem proving
% 0.15/0.40  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.wwSaoXkGNO/E---3.1_29096.p
% 0.15/0.62  # Version: 3.1pre001
% 0.15/0.62  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.62  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.62  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.62  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.62  # Starting sh5l with 300s (1) cores
% 0.15/0.62  # new_bool_3 with pid 29177 completed with status 0
% 0.15/0.62  # Result found by new_bool_3
% 0.15/0.62  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.62  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.62  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.62  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.62  # Search class: FGUSS-FFSF22-DFFFFFNN
% 0.15/0.62  # partial match(1): FGUSS-FFMF22-DFFFFFNN
% 0.15/0.62  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.62  # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 80s (1) cores
% 0.15/0.62  # Y1006__C12_02_nc_F1_AE_CS_SP_S2S with pid 29182 completed with status 0
% 0.15/0.62  # Result found by Y1006__C12_02_nc_F1_AE_CS_SP_S2S
% 0.15/0.62  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.62  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.62  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.62  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.62  # Search class: FGUSS-FFSF22-DFFFFFNN
% 0.15/0.62  # partial match(1): FGUSS-FFMF22-DFFFFFNN
% 0.15/0.62  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.62  # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 80s (1) cores
% 0.15/0.62  # Preprocessing time       : 0.001 s
% 0.15/0.62  # Presaturation interreduction done
% 0.15/0.62  
% 0.15/0.62  # Proof found!
% 0.15/0.62  # SZS status Unsatisfiable
% 0.15/0.62  # SZS output start CNFRefutation
% See solution above
% 0.15/0.62  # Parsed axioms                        : 31
% 0.15/0.62  # Removed by relevancy pruning/SinE    : 7
% 0.15/0.62  # Initial clauses                      : 24
% 0.15/0.62  # Removed in clause preprocessing      : 1
% 0.15/0.62  # Initial clauses in saturation        : 23
% 0.15/0.62  # Processed clauses                    : 1449
% 0.15/0.62  # ...of these trivial                  : 0
% 0.15/0.62  # ...subsumed                          : 1326
% 0.15/0.62  # ...remaining for further processing  : 123
% 0.15/0.62  # Other redundant clauses eliminated   : 0
% 0.15/0.62  # Clauses deleted for lack of memory   : 0
% 0.15/0.62  # Backward-subsumed                    : 0
% 0.15/0.62  # Backward-rewritten                   : 16
% 0.15/0.62  # Generated clauses                    : 13990
% 0.15/0.62  # ...of the previous two non-redundant : 13956
% 0.15/0.62  # ...aggressively subsumed             : 0
% 0.15/0.62  # Contextual simplify-reflections      : 0
% 0.15/0.62  # Paramodulations                      : 13990
% 0.15/0.62  # Factorizations                       : 0
% 0.15/0.62  # NegExts                              : 0
% 0.15/0.62  # Equation resolutions                 : 0
% 0.15/0.62  # Total rewrite steps                  : 351
% 0.15/0.62  # Propositional unsat checks           : 0
% 0.15/0.62  #    Propositional check models        : 0
% 0.15/0.62  #    Propositional check unsatisfiable : 0
% 0.15/0.62  #    Propositional clauses             : 0
% 0.15/0.62  #    Propositional clauses after purity: 0
% 0.15/0.62  #    Propositional unsat core size     : 0
% 0.15/0.62  #    Propositional preprocessing time  : 0.000
% 0.15/0.62  #    Propositional encoding time       : 0.000
% 0.15/0.62  #    Propositional solver time         : 0.000
% 0.15/0.62  #    Success case prop preproc time    : 0.000
% 0.15/0.62  #    Success case prop encoding time   : 0.000
% 0.15/0.62  #    Success case prop solver time     : 0.000
% 0.15/0.62  # Current number of processed clauses  : 84
% 0.15/0.62  #    Positive orientable unit clauses  : 6
% 0.15/0.62  #    Positive unorientable unit clauses: 21
% 0.15/0.62  #    Negative unit clauses             : 17
% 0.15/0.62  #    Non-unit-clauses                  : 40
% 0.15/0.62  # Current number of unprocessed clauses: 12533
% 0.15/0.62  # ...number of literals in the above   : 24967
% 0.15/0.62  # Current number of archived formulas  : 0
% 0.15/0.62  # Current number of archived clauses   : 39
% 0.15/0.62  # Clause-clause subsumption calls (NU) : 6339
% 0.15/0.62  # Rec. Clause-clause subsumption calls : 6334
% 0.15/0.62  # Non-unit clause-clause subsumptions  : 910
% 0.15/0.62  # Unit Clause-clause subsumption calls : 316
% 0.15/0.62  # Rewrite failures with RHS unbound    : 0
% 0.15/0.62  # BW rewrite match attempts            : 1928
% 0.15/0.62  # BW rewrite match successes           : 802
% 0.15/0.62  # Condensation attempts                : 0
% 0.15/0.62  # Condensation successes               : 0
% 0.15/0.62  # Termbank termtop insertions          : 199588
% 0.15/0.62  
% 0.15/0.62  # -------------------------------------------------
% 0.15/0.62  # User time                : 0.191 s
% 0.15/0.62  # System time              : 0.010 s
% 0.15/0.62  # Total time               : 0.201 s
% 0.15/0.62  # Maximum resident set size: 1828 pages
% 0.15/0.62  
% 0.15/0.62  # -------------------------------------------------
% 0.15/0.62  # User time                : 0.193 s
% 0.15/0.62  # System time              : 0.011 s
% 0.15/0.62  # Total time               : 0.204 s
% 0.15/0.62  # Maximum resident set size: 1728 pages
% 0.15/0.62  % E---3.1 exiting
% 0.15/0.62  % E---3.1 exiting
%------------------------------------------------------------------------------