TSTP Solution File: SWW443-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWW443-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 20:11:18 EDT 2023

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   33 (  20 unt;  13 nHn;  29 RR)
%            Number of literals    :   54 (  39 equ;  11 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    :   17 (  17 usr;  15 con; 0-2 aty)
%            Number of variables   :   28 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(premise_23,hypothesis,
    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/tmp/tmp.2MLfI2jqvy/E---3.1_8808.p',premise_23) ).

cnf(associative_commutative,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    file('/export/starexec/sandbox2/tmp/tmp.2MLfI2jqvy/E---3.1_8808.p',associative_commutative) ).

cnf(wellformedness_5,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
    file('/export/starexec/sandbox2/tmp/tmp.2MLfI2jqvy/E---3.1_8808.p',wellformedness_5) ).

cnf(normalization,axiom,
    sep(lseg(X1,X1),X2) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.2MLfI2jqvy/E---3.1_8808.p',normalization) ).

cnf(premise_19,hypothesis,
    x1 != x14,
    file('/export/starexec/sandbox2/tmp/tmp.2MLfI2jqvy/E---3.1_8808.p',premise_19) ).

cnf(premise_8,hypothesis,
    x2 != x8,
    file('/export/starexec/sandbox2/tmp/tmp.2MLfI2jqvy/E---3.1_8808.p',premise_8) ).

cnf(premise_22,hypothesis,
    x5 != x15,
    file('/export/starexec/sandbox2/tmp/tmp.2MLfI2jqvy/E---3.1_8808.p',premise_22) ).

cnf(c_0_7,hypothesis,
    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)))))))))))))),
    premise_23 ).

cnf(c_0_8,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    associative_commutative ).

cnf(c_0_9,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
    wellformedness_5 ).

cnf(c_0_10,hypothesis,
    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(x18,x15),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]) ).

cnf(c_0_11,plain,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(lseg(X1,X2),sep(X4,sep(lseg(X1,X3),X5)))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_8]) ).

cnf(c_0_12,hypothesis,
    ( x14 = x1
    | x3 = x1 ),
    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(lseg(X1,X3),sep(lseg(X1,X2),X5)))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_8]) ).

cnf(c_0_15,hypothesis,
    ( x14 = x1
    | heap(sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_12]),c_0_13]) ).

cnf(c_0_16,hypothesis,
    ( x14 = x1
    | x5 = x2
    | x18 = x2 ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,hypothesis,
    ( x18 = x2
    | x5 = x2 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_16]),c_0_13]),c_0_14]) ).

cnf(c_0_18,hypothesis,
    ( x5 = x2
    | x14 = x1
    | heap(sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_17]),c_0_13]),c_0_8]),c_0_8]) ).

cnf(c_0_19,hypothesis,
    ( x5 = x2
    | heap(sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x5),sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_17]),c_0_13]),c_0_8]),c_0_8]) ).

cnf(c_0_20,hypothesis,
    ( x14 = x1
    | x5 = x2
    | x15 = x2 ),
    inference(spm,[status(thm)],[c_0_14,c_0_18]) ).

cnf(c_0_21,hypothesis,
    x1 != x14,
    premise_19 ).

cnf(c_0_22,hypothesis,
    ( x14 = x1
    | x5 = x2
    | heap(sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_13]) ).

cnf(c_0_23,hypothesis,
    x3 = x1,
    inference(sr,[status(thm)],[c_0_12,c_0_21]) ).

cnf(c_0_24,hypothesis,
    ( x5 = x2
    | heap(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(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_22,c_0_21]),c_0_23]),c_0_13]) ).

cnf(c_0_25,hypothesis,
    x2 != x8,
    premise_8 ).

cnf(c_0_26,hypothesis,
    x5 = x2,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_24]),c_0_25]) ).

cnf(c_0_27,hypothesis,
    heap(sep(lseg(x1,x14),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp)))))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_26]),c_0_23]),c_0_13]),c_0_13]) ).

cnf(c_0_28,hypothesis,
    x18 = x2,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_27]),c_0_25]) ).

cnf(c_0_29,hypothesis,
    x5 != x15,
    premise_22 ).

cnf(c_0_30,hypothesis,
    heap(sep(lseg(x1,x14),sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),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_23]),c_0_26]),c_0_13]),c_0_8]),c_0_26]),c_0_26]),c_0_13]),c_0_13]),c_0_8]) ).

cnf(c_0_31,hypothesis,
    x15 != x2,
    inference(rw,[status(thm)],[c_0_29,c_0_26]) ).

cnf(c_0_32,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_30]),c_0_25]),c_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWW443-1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n029.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   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 22:53:07 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.2MLfI2jqvy/E---3.1_8808.p
% 0.20/0.50  # Version: 3.1pre001
% 0.20/0.50  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # new_bool_3 with pid 8893 completed with status 0
% 0.20/0.50  # Result found by new_bool_3
% 0.20/0.50  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGUSS-FFSF22-DFFFFFNN
% 0.20/0.50  # partial match(1): FGUSS-FFMF22-DFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 80s (1) cores
% 0.20/0.50  # Y1006__C12_02_nc_F1_AE_CS_SP_S2S with pid 8898 completed with status 0
% 0.20/0.50  # Result found by Y1006__C12_02_nc_F1_AE_CS_SP_S2S
% 0.20/0.50  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGUSS-FFSF22-DFFFFFNN
% 0.20/0.50  # partial match(1): FGUSS-FFMF22-DFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 80s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.001 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Unsatisfiable
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 35
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 7
% 0.20/0.50  # Initial clauses                      : 28
% 0.20/0.50  # Removed in clause preprocessing      : 1
% 0.20/0.50  # Initial clauses in saturation        : 27
% 0.20/0.50  # Processed clauses                    : 113
% 0.20/0.50  # ...of these trivial                  : 4
% 0.20/0.50  # ...subsumed                          : 24
% 0.20/0.50  # ...remaining for further processing  : 85
% 0.20/0.50  # Other redundant clauses eliminated   : 0
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 2
% 0.20/0.50  # Backward-rewritten                   : 14
% 0.20/0.50  # Generated clauses                    : 138
% 0.20/0.50  # ...of the previous two non-redundant : 137
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 1
% 0.20/0.50  # Paramodulations                      : 131
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 0
% 0.20/0.50  # Total rewrite steps                  : 133
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 35
% 0.20/0.50  #    Positive orientable unit clauses  : 8
% 0.20/0.50  #    Positive unorientable unit clauses: 2
% 0.20/0.50  #    Negative unit clauses             : 21
% 0.20/0.50  #    Non-unit-clauses                  : 4
% 0.20/0.50  # Current number of unprocessed clauses: 65
% 0.20/0.50  # ...number of literals in the above   : 129
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 50
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 113
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 88
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 23
% 0.20/0.50  # Unit Clause-clause subsumption calls : 284
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 51
% 0.20/0.50  # BW rewrite match successes           : 27
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 3127
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.009 s
% 0.20/0.50  # System time              : 0.004 s
% 0.20/0.50  # Total time               : 0.012 s
% 0.20/0.50  # Maximum resident set size: 1828 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.010 s
% 0.20/0.50  # System time              : 0.006 s
% 0.20/0.50  # Total time               : 0.016 s
% 0.20/0.50  # Maximum resident set size: 1716 pages
% 0.20/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------