TSTP Solution File: SWC191-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC191-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 19:41:58 EDT 2023

% Result   : Unsatisfiable 0.17s 0.50s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   45 (  28 unt;   0 nHn;  45 RR)
%            Number of literals    :   92 (  29 equ;  49 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_14,negated_conjecture,
    app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',co1_14) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',co1_6) ).

cnf(clause149,axiom,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',clause149) ).

cnf(co1_12,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',co1_12) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',clause86) ).

cnf(co1_10,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',co1_10) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',clause8) ).

cnf(co1_11,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',co1_11) ).

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',clause120) ).

cnf(co1_13,negated_conjecture,
    ssList(sk8),
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',co1_13) ).

cnf(clause157,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',clause157) ).

cnf(clause180,axiom,
    ( X2 = X3
    | app(X1,cons(X2,cons(X3,X4))) != X5
    | ~ ssList(X4)
    | ~ ssList(X1)
    | ~ ssItem(X3)
    | ~ ssItem(X2)
    | ~ equalelemsP(X5)
    | ~ ssList(X5) ),
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',clause180) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',co1_1) ).

cnf(co1_8,negated_conjecture,
    equalelemsP(sk3),
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',co1_8) ).

cnf(co1_15,negated_conjecture,
    sk5 != sk6,
    file('/export/starexec/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p',co1_15) ).

cnf(c_0_15,negated_conjecture,
    app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
    co1_14 ).

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

cnf(c_0_17,negated_conjecture,
    app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk3,
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_18,axiom,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause149 ).

cnf(c_0_19,negated_conjecture,
    ssList(sk7),
    co1_12 ).

cnf(c_0_20,negated_conjecture,
    ( app(app(sk7,app(cons(sk5,nil),cons(sk6,nil))),sk8) = sk3
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(cons(sk6,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_21,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_22,negated_conjecture,
    ssItem(sk5),
    co1_10 ).

cnf(c_0_23,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_24,negated_conjecture,
    ( app(app(sk7,app(cons(sk5,nil),cons(sk6,nil))),sk8) = sk3
    | ~ ssList(cons(sk6,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]) ).

cnf(c_0_25,negated_conjecture,
    ssItem(sk6),
    co1_11 ).

cnf(c_0_26,negated_conjecture,
    app(app(sk7,app(cons(sk5,nil),cons(sk6,nil))),sk8) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_21]),c_0_25]),c_0_23])]) ).

cnf(c_0_27,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause120 ).

cnf(c_0_28,negated_conjecture,
    ( app(app(sk7,cons(sk5,cons(sk6,nil))),sk8) = sk3
    | ~ ssList(cons(sk6,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_22])]) ).

cnf(c_0_29,negated_conjecture,
    app(app(sk7,cons(sk5,cons(sk6,nil))),sk8) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_21]),c_0_25]),c_0_23])]) ).

cnf(c_0_30,negated_conjecture,
    ssList(sk8),
    co1_13 ).

cnf(c_0_31,negated_conjecture,
    ( app(sk7,app(cons(sk5,cons(sk6,nil)),sk8)) = sk3
    | ~ ssList(cons(sk5,cons(sk6,nil))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_29]),c_0_19]),c_0_30])]) ).

cnf(c_0_32,negated_conjecture,
    ( app(sk7,app(cons(sk5,cons(sk6,nil)),sk8)) = sk3
    | ~ ssList(cons(sk6,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_21]),c_0_22])]) ).

cnf(c_0_33,negated_conjecture,
    app(sk7,app(cons(sk5,cons(sk6,nil)),sk8)) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_21]),c_0_25]),c_0_23])]) ).

cnf(c_0_34,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause157 ).

cnf(c_0_35,negated_conjecture,
    ( app(sk7,cons(sk5,app(cons(sk6,nil),sk8))) = sk3
    | ~ ssList(cons(sk6,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_22]),c_0_30])]) ).

cnf(c_0_36,axiom,
    ( X2 = X3
    | app(X1,cons(X2,cons(X3,X4))) != X5
    | ~ ssList(X4)
    | ~ ssList(X1)
    | ~ ssItem(X3)
    | ~ ssItem(X2)
    | ~ equalelemsP(X5)
    | ~ ssList(X5) ),
    clause180 ).

cnf(c_0_37,negated_conjecture,
    app(sk7,cons(sk5,app(cons(sk6,nil),sk8))) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_21]),c_0_25]),c_0_23])]) ).

cnf(c_0_38,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_39,plain,
    ( X1 = X2
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(app(X3,cons(X1,cons(X2,X4))))
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ equalelemsP(app(X3,cons(X1,cons(X2,X4)))) ),
    inference(er,[status(thm)],[c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    app(sk7,cons(sk5,cons(sk6,sk8))) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_27]),c_0_25]),c_0_30])]) ).

cnf(c_0_41,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_38,c_0_16]) ).

cnf(c_0_42,negated_conjecture,
    equalelemsP(sk3),
    co1_8 ).

cnf(c_0_43,negated_conjecture,
    sk5 != sk6,
    co1_15 ).

cnf(c_0_44,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[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_39,c_0_40]),c_0_25]),c_0_22]),c_0_41]),c_0_30]),c_0_19]),c_0_42])]),c_0_43]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWC191-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n020.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 01:58:01 EDT 2023
% 0.17/0.32  % CPUTime    : 
% 0.17/0.45  Running first-order model finding
% 0.17/0.45  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.xWuNmvqYzO/E---3.1_6020.p
% 0.17/0.50  # Version: 3.1pre001
% 0.17/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.50  # Starting sh5l with 300s (1) cores
% 0.17/0.50  # sh5l with pid 6105 completed with status 0
% 0.17/0.50  # Result found by sh5l
% 0.17/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.50  # Starting sh5l with 300s (1) cores
% 0.17/0.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.50  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.17/0.50  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.17/0.50  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 6113 completed with status 0
% 0.17/0.50  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.17/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.50  # Starting sh5l with 300s (1) cores
% 0.17/0.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.50  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.17/0.50  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.17/0.50  # Preprocessing time       : 0.003 s
% 0.17/0.50  # Presaturation interreduction done
% 0.17/0.50  
% 0.17/0.50  # Proof found!
% 0.17/0.50  # SZS status Unsatisfiable
% 0.17/0.50  # SZS output start CNFRefutation
% See solution above
% 0.17/0.50  # Parsed axioms                        : 200
% 0.17/0.50  # Removed by relevancy pruning/SinE    : 21
% 0.17/0.50  # Initial clauses                      : 179
% 0.17/0.50  # Removed in clause preprocessing      : 0
% 0.17/0.50  # Initial clauses in saturation        : 179
% 0.17/0.50  # Processed clauses                    : 467
% 0.17/0.50  # ...of these trivial                  : 2
% 0.17/0.50  # ...subsumed                          : 42
% 0.17/0.50  # ...remaining for further processing  : 423
% 0.17/0.50  # Other redundant clauses eliminated   : 34
% 0.17/0.50  # Clauses deleted for lack of memory   : 0
% 0.17/0.50  # Backward-subsumed                    : 5
% 0.17/0.50  # Backward-rewritten                   : 19
% 0.17/0.50  # Generated clauses                    : 502
% 0.17/0.50  # ...of the previous two non-redundant : 433
% 0.17/0.50  # ...aggressively subsumed             : 0
% 0.17/0.50  # Contextual simplify-reflections      : 10
% 0.17/0.50  # Paramodulations                      : 464
% 0.17/0.50  # Factorizations                       : 0
% 0.17/0.50  # NegExts                              : 0
% 0.17/0.50  # Equation resolutions                 : 39
% 0.17/0.50  # Total rewrite steps                  : 481
% 0.17/0.50  # Propositional unsat checks           : 0
% 0.17/0.50  #    Propositional check models        : 0
% 0.17/0.50  #    Propositional check unsatisfiable : 0
% 0.17/0.50  #    Propositional clauses             : 0
% 0.17/0.50  #    Propositional clauses after purity: 0
% 0.17/0.50  #    Propositional unsat core size     : 0
% 0.17/0.50  #    Propositional preprocessing time  : 0.000
% 0.17/0.50  #    Propositional encoding time       : 0.000
% 0.17/0.50  #    Propositional solver time         : 0.000
% 0.17/0.50  #    Success case prop preproc time    : 0.000
% 0.17/0.50  #    Success case prop encoding time   : 0.000
% 0.17/0.50  #    Success case prop solver time     : 0.000
% 0.17/0.50  # Current number of processed clauses  : 207
% 0.17/0.50  #    Positive orientable unit clauses  : 69
% 0.17/0.50  #    Positive unorientable unit clauses: 0
% 0.17/0.50  #    Negative unit clauses             : 1
% 0.17/0.50  #    Non-unit-clauses                  : 137
% 0.17/0.50  # Current number of unprocessed clauses: 299
% 0.17/0.50  # ...number of literals in the above   : 1394
% 0.17/0.50  # Current number of archived formulas  : 0
% 0.17/0.50  # Current number of archived clauses   : 195
% 0.17/0.50  # Clause-clause subsumption calls (NU) : 11527
% 0.17/0.50  # Rec. Clause-clause subsumption calls : 2202
% 0.17/0.50  # Non-unit clause-clause subsumptions  : 57
% 0.17/0.50  # Unit Clause-clause subsumption calls : 84
% 0.17/0.50  # Rewrite failures with RHS unbound    : 0
% 0.17/0.50  # BW rewrite match attempts            : 12
% 0.17/0.50  # BW rewrite match successes           : 10
% 0.17/0.50  # Condensation attempts                : 0
% 0.17/0.50  # Condensation successes               : 0
% 0.17/0.50  # Termbank termtop insertions          : 15450
% 0.17/0.50  
% 0.17/0.50  # -------------------------------------------------
% 0.17/0.50  # User time                : 0.034 s
% 0.17/0.50  # System time              : 0.004 s
% 0.17/0.50  # Total time               : 0.038 s
% 0.17/0.50  # Maximum resident set size: 2212 pages
% 0.17/0.50  
% 0.17/0.50  # -------------------------------------------------
% 0.17/0.50  # User time                : 0.036 s
% 0.17/0.50  # System time              : 0.006 s
% 0.17/0.50  # Total time               : 0.042 s
% 0.17/0.50  # Maximum resident set size: 1852 pages
% 0.17/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------