TSTP Solution File: SWW407-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWW407-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 : Tue May 21 06:42:39 EDT 2024

% Result   : Unsatisfiable 8.10s 1.48s
% Output   : CNFRefutation 8.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   29 (  18 unt;   6 nHn;  23 RR)
%            Number of literals    :   46 (  15 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   70 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(unfolding_2,axiom,
    ( X1 = X2
    | heap(sep(lseg(X1,X3),X4))
    | ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).

cnf(normalization,axiom,
    sep(lseg(X1,X1),X2) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).

cnf(associative_commutative,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).

cnf(unfolding_4,axiom,
    ( heap(sep(lseg(X1,X3),sep(next(X3,X4),X5)))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(next(X3,X4),X5)))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_4) ).

cnf(premise_9,hypothesis,
    heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_9) ).

cnf(premise_5,hypothesis,
    x1 != x2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).

cnf(conclusion_1,negated_conjecture,
    ~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).

cnf(c_0_7,plain,
    ( X1 = X2
    | heap(sep(lseg(X1,X3),X4))
    | ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4))) ),
    inference(fof_simplification,[status(thm)],[unfolding_2]) ).

cnf(c_0_8,plain,
    ( X1 = X2
    | heap(sep(lseg(X1,X3),X4))
    | ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4))) ),
    c_0_7 ).

cnf(c_0_9,axiom,
    sep(lseg(X1,X1),X2) = X2,
    normalization ).

cnf(c_0_10,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    associative_commutative ).

cnf(c_0_11,plain,
    ( heap(sep(lseg(X1,X3),sep(next(X3,X4),X5)))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(next(X3,X4),X5)))) ),
    inference(fof_simplification,[status(thm)],[unfolding_4]) ).

cnf(c_0_12,plain,
    ( X1 = X2
    | heap(sep(lseg(X1,X2),X3))
    | ~ heap(sep(next(X1,X2),X3)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X1,sep(X2,X4))),
    inference(spm,[status(thm)],[c_0_10,c_0_10]) ).

cnf(c_0_14,plain,
    ( heap(sep(lseg(X1,X3),sep(next(X3,X4),X5)))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(next(X3,X4),X5)))) ),
    c_0_11 ).

cnf(c_0_15,plain,
    ( X1 = X2
    | heap(sep(lseg(X1,X2),sep(X3,X4)))
    | ~ heap(sep(X3,sep(next(X1,X2),X4))) ),
    inference(spm,[status(thm)],[c_0_12,c_0_10]) ).

cnf(c_0_16,plain,
    sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X2,sep(X1,X4))),
    inference(spm,[status(thm)],[c_0_10,c_0_13]) ).

cnf(c_0_17,hypothesis,
    heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
    premise_9 ).

cnf(c_0_18,hypothesis,
    x1 != x2,
    inference(fof_simplification,[status(thm)],[premise_5]) ).

cnf(c_0_19,negated_conjecture,
    ~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
    inference(fof_simplification,[status(thm)],[conclusion_1]) ).

cnf(c_0_20,plain,
    ( heap(sep(lseg(X1,X2),sep(X3,sep(next(X2,X4),X5))))
    | ~ heap(sep(lseg(X1,X6),sep(lseg(X6,X2),sep(X3,sep(next(X2,X4),X5))))) ),
    inference(spm,[status(thm)],[c_0_14,c_0_10]) ).

cnf(c_0_21,plain,
    ( X1 = X2
    | heap(sep(lseg(X1,X2),sep(X3,sep(X4,sep(X5,X6)))))
    | ~ heap(sep(X3,sep(X5,sep(X4,sep(next(X1,X2),X6))))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_22,hypothesis,
    heap(sep(lseg(x4,nil),sep(lseg(x3,x1),sep(next(x2,x4),sep(next(x1,x2),emp))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).

cnf(c_0_23,hypothesis,
    x1 != x2,
    c_0_18 ).

cnf(c_0_24,negated_conjecture,
    ~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
    c_0_19 ).

cnf(c_0_25,plain,
    ( heap(sep(lseg(X1,X2),sep(X3,sep(next(X2,X4),X5))))
    | ~ heap(sep(X3,sep(lseg(X6,X2),sep(lseg(X1,X6),sep(next(X2,X4),X5))))) ),
    inference(spm,[status(thm)],[c_0_20,c_0_16]) ).

cnf(c_0_26,hypothesis,
    heap(sep(lseg(x4,nil),sep(lseg(x1,x2),sep(lseg(x3,x1),sep(next(x2,x4),emp))))),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_10]),c_0_23]),c_0_10]) ).

cnf(c_0_27,negated_conjecture,
    ~ heap(sep(lseg(x4,nil),sep(lseg(x3,x2),sep(next(x2,x4),emp)))),
    inference(spm,[status(thm)],[c_0_24,c_0_10]) ).

cnf(c_0_28,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_10]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem    : SWW407-1 : TPTP v8.2.0. Released v5.2.0.
% 0.09/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat May 18 20:24:07 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.18/0.48  Running first-order theorem proving
% 0.18/0.48  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 8.10/1.48  # Version: 3.1.0
% 8.10/1.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 8.10/1.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.10/1.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.10/1.48  # Starting new_bool_3 with 300s (1) cores
% 8.10/1.48  # Starting new_bool_1 with 300s (1) cores
% 8.10/1.48  # Starting sh5l with 300s (1) cores
% 8.10/1.48  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 28601 completed with status 0
% 8.10/1.48  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 8.10/1.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 8.10/1.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.10/1.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.10/1.48  # No SInE strategy applied
% 8.10/1.48  # Search class: FGUSS-FFMF22-MFFFFFNN
% 8.10/1.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 8.10/1.48  # Starting SAT001_MinMin_p005000_rr_RG with 541s (1) cores
% 8.10/1.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 8.10/1.48  # Starting new_bool_3 with 203s (1) cores
% 8.10/1.48  # Starting new_bool_1 with 203s (1) cores
% 8.10/1.48  # Starting sh5l with 203s (1) cores
% 8.10/1.48  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 28606 completed with status 0
% 8.10/1.48  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 8.10/1.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 8.10/1.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.10/1.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.10/1.48  # No SInE strategy applied
% 8.10/1.48  # Search class: FGUSS-FFMF22-MFFFFFNN
% 8.10/1.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 8.10/1.48  # Starting SAT001_MinMin_p005000_rr_RG with 541s (1) cores
% 8.10/1.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 8.10/1.48  # Preprocessing time       : 0.001 s
% 8.10/1.48  # Presaturation interreduction done
% 8.10/1.48  
% 8.10/1.48  # Proof found!
% 8.10/1.48  # SZS status Unsatisfiable
% 8.10/1.48  # SZS output start CNFRefutation
% See solution above
% 8.10/1.48  # Parsed axioms                        : 21
% 8.10/1.48  # Removed by relevancy pruning/SinE    : 0
% 8.10/1.48  # Initial clauses                      : 21
% 8.10/1.48  # Removed in clause preprocessing      : 0
% 8.10/1.48  # Initial clauses in saturation        : 21
% 8.10/1.48  # Processed clauses                    : 5985
% 8.10/1.48  # ...of these trivial                  : 34
% 8.10/1.48  # ...subsumed                          : 5658
% 8.10/1.48  # ...remaining for further processing  : 292
% 8.10/1.48  # Other redundant clauses eliminated   : 0
% 8.10/1.48  # Clauses deleted for lack of memory   : 0
% 8.10/1.48  # Backward-subsumed                    : 2
% 8.10/1.48  # Backward-rewritten                   : 1
% 8.10/1.48  # Generated clauses                    : 43598
% 8.10/1.48  # ...of the previous two non-redundant : 43435
% 8.10/1.48  # ...aggressively subsumed             : 0
% 8.10/1.48  # Contextual simplify-reflections      : 0
% 8.10/1.48  # Paramodulations                      : 43598
% 8.10/1.48  # Factorizations                       : 0
% 8.10/1.48  # NegExts                              : 0
% 8.10/1.48  # Equation resolutions                 : 0
% 8.10/1.48  # Disequality decompositions           : 0
% 8.10/1.48  # Total rewrite steps                  : 787
% 8.10/1.48  # ...of those cached                   : 628
% 8.10/1.48  # Propositional unsat checks           : 0
% 8.10/1.48  #    Propositional check models        : 0
% 8.10/1.48  #    Propositional check unsatisfiable : 0
% 8.10/1.48  #    Propositional clauses             : 0
% 8.10/1.48  #    Propositional clauses after purity: 0
% 8.10/1.48  #    Propositional unsat core size     : 0
% 8.10/1.48  #    Propositional preprocessing time  : 0.000
% 8.10/1.48  #    Propositional encoding time       : 0.000
% 8.10/1.48  #    Propositional solver time         : 0.000
% 8.10/1.48  #    Success case prop preproc time    : 0.000
% 8.10/1.48  #    Success case prop encoding time   : 0.000
% 8.10/1.48  #    Success case prop solver time     : 0.000
% 8.10/1.48  # Current number of processed clauses  : 268
% 8.10/1.48  #    Positive orientable unit clauses  : 10
% 8.10/1.48  #    Positive unorientable unit clauses: 19
% 8.10/1.48  #    Negative unit clauses             : 37
% 8.10/1.48  #    Non-unit-clauses                  : 202
% 8.10/1.48  # Current number of unprocessed clauses: 37483
% 8.10/1.48  # ...number of literals in the above   : 77112
% 8.10/1.48  # Current number of archived formulas  : 0
% 8.10/1.48  # Current number of archived clauses   : 24
% 8.10/1.48  # Clause-clause subsumption calls (NU) : 36312
% 8.10/1.48  # Rec. Clause-clause subsumption calls : 36312
% 8.10/1.48  # Non-unit clause-clause subsumptions  : 2860
% 8.10/1.48  # Unit Clause-clause subsumption calls : 157
% 8.10/1.48  # Rewrite failures with RHS unbound    : 0
% 8.10/1.48  # BW rewrite match attempts            : 4450
% 8.10/1.48  # BW rewrite match successes           : 1504
% 8.10/1.48  # Condensation attempts                : 0
% 8.10/1.48  # Condensation successes               : 0
% 8.10/1.48  # Termbank termtop insertions          : 708414
% 8.10/1.48  # Search garbage collected termcells   : 43
% 8.10/1.48  
% 8.10/1.48  # -------------------------------------------------
% 8.10/1.48  # User time                : 0.955 s
% 8.10/1.48  # System time              : 0.024 s
% 8.10/1.48  # Total time               : 0.979 s
% 8.10/1.48  # Maximum resident set size: 1660 pages
% 8.10/1.48  
% 8.10/1.48  # -------------------------------------------------
% 8.10/1.48  # User time                : 4.823 s
% 8.10/1.48  # System time              : 0.052 s
% 8.10/1.48  # Total time               : 4.875 s
% 8.10/1.48  # Maximum resident set size: 1716 pages
% 8.10/1.48  % E---3.1 exiting
% 8.10/1.49  % E exiting
%------------------------------------------------------------------------------