TSTP Solution File: SWC106-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC106-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 19:41:31 EDT 2023

% Result   : Unsatisfiable 0.17s 0.47s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   40 (  18 unt;   3 nHn;  40 RR)
%            Number of literals    :   79 (  17 equ;  43 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4OtbYUoCA/E---3.1_10117.p',co1_7) ).

cnf(co1_16,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4OtbYUoCA/E---3.1_10117.p',co1_16) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.x4OtbYUoCA/E---3.1_10117.p',co1_6) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.x4OtbYUoCA/E---3.1_10117.p',co1_5) ).

cnf(co1_15,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4OtbYUoCA/E---3.1_10117.p',co1_15) ).

cnf(clause143,axiom,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4OtbYUoCA/E---3.1_10117.p',clause143) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4OtbYUoCA/E---3.1_10117.p',clause85) ).

cnf(co1_17,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk4
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4OtbYUoCA/E---3.1_10117.p',co1_17) ).

cnf(co1_18,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ rearsegP(sk2,sk1)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4OtbYUoCA/E---3.1_10117.p',co1_18) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.x4OtbYUoCA/E---3.1_10117.p',co1_1) ).

cnf(co1_14,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4OtbYUoCA/E---3.1_10117.p',co1_14) ).

cnf(clause99,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4OtbYUoCA/E---3.1_10117.p',clause99) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.x4OtbYUoCA/E---3.1_10117.p',clause8) ).

cnf(clause100,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4OtbYUoCA/E---3.1_10117.p',clause100) ).

cnf(c_0_14,negated_conjecture,
    neq(sk2,nil),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_15,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | ~ neq(sk4,nil) ),
    co1_16 ).

cnf(c_0_16,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_17,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_18,negated_conjecture,
    neq(sk2,nil),
    c_0_14 ).

cnf(c_0_19,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    co1_15 ).

cnf(c_0_20,axiom,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause143 ).

cnf(c_0_21,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause85 ).

cnf(c_0_22,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk4
    | ~ neq(sk4,nil) ),
    co1_17 ).

cnf(c_0_23,negated_conjecture,
    cons(sk5,nil) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).

cnf(c_0_24,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk2,nil) ),
    inference(rw,[status(thm)],[c_0_19,c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ rearsegP(sk2,sk1)
    | ~ neq(sk4,nil) ),
    co1_18 ).

cnf(c_0_26,plain,
    ( rearsegP(app(X1,X2),X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_21]) ).

cnf(c_0_27,negated_conjecture,
    app(sk6,sk1) = sk2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_17]),c_0_17]),c_0_18])]) ).

cnf(c_0_28,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_29,negated_conjecture,
    ssList(sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_18])]) ).

cnf(c_0_30,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    co1_14 ).

cnf(c_0_31,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ rearsegP(sk2,sk1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_17]),c_0_18])]) ).

cnf(c_0_32,negated_conjecture,
    rearsegP(sk2,sk1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29])]) ).

cnf(c_0_33,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause99 ).

cnf(c_0_34,negated_conjecture,
    ssItem(sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_17]),c_0_18])]) ).

cnf(c_0_35,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_36,negated_conjecture,
    ~ neq(sk1,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).

cnf(c_0_37,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause100 ).

cnf(c_0_38,negated_conjecture,
    sk1 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_23]),c_0_34]),c_0_35])]) ).

cnf(c_0_39,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_28]),c_0_35])]),c_0_38]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem    : SWC106-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 01:38:04 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 0.17/0.44  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.x4OtbYUoCA/E---3.1_10117.p
% 0.17/0.47  # Version: 3.1pre001
% 0.17/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47  # Starting sh5l with 300s (1) cores
% 0.17/0.47  # new_bool_3 with pid 10196 completed with status 0
% 0.17/0.47  # Result found by new_bool_3
% 0.17/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.17/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.47  # SAT001_MinMin_p005000_rr_RG with pid 10199 completed with status 0
% 0.17/0.47  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.17/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.47  # Preprocessing time       : 0.004 s
% 0.17/0.47  # Presaturation interreduction done
% 0.17/0.47  
% 0.17/0.47  # Proof found!
% 0.17/0.47  # SZS status Unsatisfiable
% 0.17/0.47  # SZS output start CNFRefutation
% See solution above
% 0.17/0.47  # Parsed axioms                        : 203
% 0.17/0.47  # Removed by relevancy pruning/SinE    : 156
% 0.17/0.47  # Initial clauses                      : 47
% 0.17/0.47  # Removed in clause preprocessing      : 0
% 0.17/0.47  # Initial clauses in saturation        : 47
% 0.17/0.47  # Processed clauses                    : 107
% 0.17/0.47  # ...of these trivial                  : 8
% 0.17/0.47  # ...subsumed                          : 6
% 0.17/0.47  # ...remaining for further processing  : 93
% 0.17/0.47  # Other redundant clauses eliminated   : 10
% 0.17/0.47  # Clauses deleted for lack of memory   : 0
% 0.17/0.47  # Backward-subsumed                    : 0
% 0.17/0.47  # Backward-rewritten                   : 2
% 0.17/0.47  # Generated clauses                    : 93
% 0.17/0.47  # ...of the previous two non-redundant : 73
% 0.17/0.47  # ...aggressively subsumed             : 0
% 0.17/0.47  # Contextual simplify-reflections      : 2
% 0.17/0.47  # Paramodulations                      : 80
% 0.17/0.47  # Factorizations                       : 0
% 0.17/0.47  # NegExts                              : 0
% 0.17/0.47  # Equation resolutions                 : 14
% 0.17/0.47  # Total rewrite steps                  : 116
% 0.17/0.47  # Propositional unsat checks           : 0
% 0.17/0.47  #    Propositional check models        : 0
% 0.17/0.47  #    Propositional check unsatisfiable : 0
% 0.17/0.47  #    Propositional clauses             : 0
% 0.17/0.47  #    Propositional clauses after purity: 0
% 0.17/0.47  #    Propositional unsat core size     : 0
% 0.17/0.47  #    Propositional preprocessing time  : 0.000
% 0.17/0.47  #    Propositional encoding time       : 0.000
% 0.17/0.47  #    Propositional solver time         : 0.000
% 0.17/0.47  #    Success case prop preproc time    : 0.000
% 0.17/0.47  #    Success case prop encoding time   : 0.000
% 0.17/0.47  #    Success case prop solver time     : 0.000
% 0.17/0.47  # Current number of processed clauses  : 47
% 0.17/0.47  #    Positive orientable unit clauses  : 13
% 0.17/0.47  #    Positive unorientable unit clauses: 0
% 0.17/0.47  #    Negative unit clauses             : 4
% 0.17/0.47  #    Non-unit-clauses                  : 30
% 0.17/0.47  # Current number of unprocessed clauses: 52
% 0.17/0.47  # ...number of literals in the above   : 226
% 0.17/0.47  # Current number of archived formulas  : 0
% 0.17/0.47  # Current number of archived clauses   : 41
% 0.17/0.47  # Clause-clause subsumption calls (NU) : 282
% 0.17/0.47  # Rec. Clause-clause subsumption calls : 115
% 0.17/0.47  # Non-unit clause-clause subsumptions  : 5
% 0.17/0.47  # Unit Clause-clause subsumption calls : 29
% 0.17/0.47  # Rewrite failures with RHS unbound    : 0
% 0.17/0.47  # BW rewrite match attempts            : 2
% 0.17/0.47  # BW rewrite match successes           : 2
% 0.17/0.47  # Condensation attempts                : 0
% 0.17/0.47  # Condensation successes               : 0
% 0.17/0.47  # Termbank termtop insertions          : 4165
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.005 s
% 0.17/0.47  # System time              : 0.007 s
% 0.17/0.47  # Total time               : 0.011 s
% 0.17/0.47  # Maximum resident set size: 1944 pages
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.007 s
% 0.17/0.47  # System time              : 0.010 s
% 0.17/0.47  # Total time               : 0.017 s
% 0.17/0.47  # Maximum resident set size: 1852 pages
% 0.17/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------