TSTP Solution File: SWW410-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWW410-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 20:11:14 EDT 2023

% Result   : Unsatisfiable 0.21s 0.64s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   27 (  17 unt;   8 nHn;  22 RR)
%            Number of literals    :   45 (  16 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   56 (   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/sandbox2/tmp/tmp.sTOQFyVbQ3/E---3.1_23495.p',unfolding_2) ).

cnf(normalization,axiom,
    sep(lseg(X1,X1),X2) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.sTOQFyVbQ3/E---3.1_23495.p',normalization) ).

cnf(associative_commutative,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    file('/export/starexec/sandbox2/tmp/tmp.sTOQFyVbQ3/E---3.1_23495.p',associative_commutative) ).

cnf(premise_5,hypothesis,
    heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
    file('/export/starexec/sandbox2/tmp/tmp.sTOQFyVbQ3/E---3.1_23495.p',premise_5) ).

cnf(unfolding_5,axiom,
    ( X3 = X4
    | heap(sep(lseg(X1,X3),sep(lseg(X3,X4),X5)))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(lseg(X3,X4),X5)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.sTOQFyVbQ3/E---3.1_23495.p',unfolding_5) ).

cnf(premise_3,hypothesis,
    x1 != x3,
    file('/export/starexec/sandbox2/tmp/tmp.sTOQFyVbQ3/E---3.1_23495.p',premise_3) ).

cnf(conclusion_1,negated_conjecture,
    ~ heap(sep(lseg(x3,nil),sep(lseg(x2,x3),emp))),
    file('/export/starexec/sandbox2/tmp/tmp.sTOQFyVbQ3/E---3.1_23495.p',conclusion_1) ).

cnf(unfolding_3,axiom,
    ( heap(sep(lseg(X1,nil),X3))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
    file('/export/starexec/sandbox2/tmp/tmp.sTOQFyVbQ3/E---3.1_23495.p',unfolding_3) ).

cnf(c_0_8,axiom,
    ( X1 = X2
    | heap(sep(lseg(X1,X3),X4))
    | ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4))) ),
    unfolding_2 ).

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,
    ( 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_12,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_13,hypothesis,
    heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
    premise_5 ).

cnf(c_0_14,axiom,
    ( X3 = X4
    | heap(sep(lseg(X1,X3),sep(lseg(X3,X4),X5)))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(lseg(X3,X4),X5)))) ),
    unfolding_5 ).

cnf(c_0_15,plain,
    ( X1 = X2
    | heap(sep(lseg(X1,X2),sep(X3,sep(X4,X5))))
    | ~ heap(sep(X3,sep(X4,sep(next(X1,X2),X5)))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,hypothesis,
    heap(sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp)))),
    inference(rw,[status(thm)],[c_0_13,c_0_10]) ).

cnf(c_0_17,hypothesis,
    x1 != x3,
    premise_3 ).

cnf(c_0_18,plain,
    ( X1 = X2
    | heap(sep(lseg(X1,X3),sep(X4,X5)))
    | ~ heap(sep(lseg(X2,X3),sep(X4,sep(next(X1,X2),X5)))) ),
    inference(spm,[status(thm)],[c_0_8,c_0_12]) ).

cnf(c_0_19,plain,
    ( X1 = X2
    | heap(sep(lseg(X3,X1),sep(lseg(X1,X2),X4)))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X3,X5),sep(lseg(X5,X1),X4)))) ),
    inference(spm,[status(thm)],[c_0_14,c_0_12]) ).

cnf(c_0_20,hypothesis,
    heap(sep(lseg(x3,nil),sep(lseg(x2,x1),sep(lseg(x1,x3),emp)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_10]),c_0_10]) ).

cnf(c_0_21,negated_conjecture,
    ~ heap(sep(lseg(x3,nil),sep(lseg(x2,x3),emp))),
    conclusion_1 ).

cnf(c_0_22,axiom,
    ( heap(sep(lseg(X1,nil),X3))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
    unfolding_3 ).

cnf(c_0_23,hypothesis,
    heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp))),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_16]),c_0_17]),c_0_10]) ).

cnf(c_0_24,hypothesis,
    x3 = nil,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_10]),c_0_21]) ).

cnf(c_0_25,hypothesis,
    heap(sep(lseg(x2,nil),emp)),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_24]),c_0_9]),c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW410-1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 22:51:44 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  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.sTOQFyVbQ3/E---3.1_23495.p
% 0.21/0.64  # Version: 3.1pre001
% 0.21/0.64  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.64  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.64  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.64  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.64  # Starting sh5l with 300s (1) cores
% 0.21/0.64  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23572 completed with status 0
% 0.21/0.64  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.64  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.64  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.64  # No SInE strategy applied
% 0.21/0.64  # Search class: FGUSS-FFSF22-MFFFFFNN
% 0.21/0.64  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.64  # Starting SAT001_MinMin_p005000_rr_RG with 450s (1) cores
% 0.21/0.64  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.64  # Starting new_bool_3 with 226s (1) cores
% 0.21/0.64  # Starting new_bool_1 with 226s (1) cores
% 0.21/0.64  # Starting sh5l with 226s (1) cores
% 0.21/0.64  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23577 completed with status 0
% 0.21/0.64  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.64  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.64  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.64  # No SInE strategy applied
% 0.21/0.64  # Search class: FGUSS-FFSF22-MFFFFFNN
% 0.21/0.64  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.64  # Starting SAT001_MinMin_p005000_rr_RG with 450s (1) cores
% 0.21/0.64  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.64  # Preprocessing time       : 0.001 s
% 0.21/0.64  # Presaturation interreduction done
% 0.21/0.64  
% 0.21/0.64  # Proof found!
% 0.21/0.64  # SZS status Unsatisfiable
% 0.21/0.64  # SZS output start CNFRefutation
% See solution above
% 0.21/0.64  # Parsed axioms                        : 17
% 0.21/0.64  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.64  # Initial clauses                      : 17
% 0.21/0.64  # Removed in clause preprocessing      : 0
% 0.21/0.64  # Initial clauses in saturation        : 17
% 0.21/0.64  # Processed clauses                    : 1189
% 0.21/0.64  # ...of these trivial                  : 4
% 0.21/0.64  # ...subsumed                          : 1056
% 0.21/0.64  # ...remaining for further processing  : 129
% 0.21/0.64  # Other redundant clauses eliminated   : 0
% 0.21/0.64  # Clauses deleted for lack of memory   : 0
% 0.21/0.64  # Backward-subsumed                    : 2
% 0.21/0.64  # Backward-rewritten                   : 2
% 0.21/0.64  # Generated clauses                    : 10625
% 0.21/0.64  # ...of the previous two non-redundant : 10556
% 0.21/0.64  # ...aggressively subsumed             : 0
% 0.21/0.64  # Contextual simplify-reflections      : 0
% 0.21/0.64  # Paramodulations                      : 10625
% 0.21/0.64  # Factorizations                       : 0
% 0.21/0.64  # NegExts                              : 0
% 0.21/0.64  # Equation resolutions                 : 0
% 0.21/0.64  # Total rewrite steps                  : 203
% 0.21/0.64  # Propositional unsat checks           : 0
% 0.21/0.64  #    Propositional check models        : 0
% 0.21/0.64  #    Propositional check unsatisfiable : 0
% 0.21/0.64  #    Propositional clauses             : 0
% 0.21/0.64  #    Propositional clauses after purity: 0
% 0.21/0.64  #    Propositional unsat core size     : 0
% 0.21/0.64  #    Propositional preprocessing time  : 0.000
% 0.21/0.64  #    Propositional encoding time       : 0.000
% 0.21/0.64  #    Propositional solver time         : 0.000
% 0.21/0.64  #    Success case prop preproc time    : 0.000
% 0.21/0.64  #    Success case prop encoding time   : 0.000
% 0.21/0.64  #    Success case prop solver time     : 0.000
% 0.21/0.64  # Current number of processed clauses  : 108
% 0.21/0.64  #    Positive orientable unit clauses  : 6
% 0.21/0.64  #    Positive unorientable unit clauses: 13
% 0.21/0.64  #    Negative unit clauses             : 21
% 0.21/0.64  #    Non-unit-clauses                  : 68
% 0.21/0.64  # Current number of unprocessed clauses: 9395
% 0.21/0.64  # ...number of literals in the above   : 17039
% 0.21/0.64  # Current number of archived formulas  : 0
% 0.21/0.64  # Current number of archived clauses   : 21
% 0.21/0.64  # Clause-clause subsumption calls (NU) : 2276
% 0.21/0.64  # Rec. Clause-clause subsumption calls : 2276
% 0.21/0.64  # Non-unit clause-clause subsumptions  : 422
% 0.21/0.64  # Unit Clause-clause subsumption calls : 58
% 0.21/0.64  # Rewrite failures with RHS unbound    : 0
% 0.21/0.64  # BW rewrite match attempts            : 1776
% 0.21/0.64  # BW rewrite match successes           : 683
% 0.21/0.64  # Condensation attempts                : 0
% 0.21/0.64  # Condensation successes               : 0
% 0.21/0.64  # Termbank termtop insertions          : 146525
% 0.21/0.64  
% 0.21/0.64  # -------------------------------------------------
% 0.21/0.64  # User time                : 0.137 s
% 0.21/0.64  # System time              : 0.008 s
% 0.21/0.64  # Total time               : 0.145 s
% 0.21/0.64  # Maximum resident set size: 1664 pages
% 0.21/0.64  
% 0.21/0.64  # -------------------------------------------------
% 0.21/0.64  # User time                : 0.687 s
% 0.21/0.64  # System time              : 0.020 s
% 0.21/0.64  # Total time               : 0.708 s
% 0.21/0.64  # Maximum resident set size: 1688 pages
% 0.21/0.64  % E---3.1 exiting
%------------------------------------------------------------------------------