TSTP Solution File: SWC300-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC300-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 : Sat May  4 09:41:53 EDT 2024

% Result   : Unsatisfiable 0.73s 0.58s
% Output   : CNFRefutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   58 (  32 unt;   3 nHn;  58 RR)
%            Number of literals    :  142 (  25 equ;  86 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   62 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause149,axiom,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',clause149) ).

cnf(co1_13,negated_conjecture,
    app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',co1_13) ).

cnf(co1_10,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',co1_10) ).

cnf(co1_11,negated_conjecture,
    ssList(sk8),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',co1_11) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',clause86) ).

cnf(co1_8,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',co1_8) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',clause8) ).

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',clause120) ).

cnf(co1_12,negated_conjecture,
    ssList(sk9),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',co1_12) ).

cnf(co1_9,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',co1_9) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',clause85) ).

cnf(clause182,axiom,
    ( leq(X2,X4)
    | app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X2)
    | ~ totalorderedP(X6)
    | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',clause182) ).

cnf(co1_7,negated_conjecture,
    totalorderedP(sk3),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',co1_7) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',co1_6) ).

cnf(clause114,axiom,
    ( ~ lt(X1,X2)
    | ~ lt(X2,X1)
    | ~ ssItem(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',clause114) ).

cnf(clause121,axiom,
    ( lt(X1,X2)
    | X1 = X2
    | ~ leq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',clause121) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',co1_1) ).

cnf(co1_14,negated_conjecture,
    lt(sk6,sk5),
    file('/export/starexec/sandbox2/tmp/tmp.eVgWpbhh2c/E---3.1_26206.p',co1_14) ).

cnf(c_0_18,plain,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause149]) ).

cnf(c_0_19,negated_conjecture,
    app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
    co1_13 ).

cnf(c_0_20,plain,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    c_0_18 ).

cnf(c_0_21,negated_conjecture,
    ssList(sk7),
    co1_10 ).

cnf(c_0_22,negated_conjecture,
    ssList(sk8),
    co1_11 ).

cnf(c_0_23,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_24,negated_conjecture,
    ( app(app(app(sk7,app(cons(sk5,nil),sk8)),cons(sk6,nil)),sk9) = sk1
    | ~ ssList(cons(sk5,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]) ).

cnf(c_0_25,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_23 ).

cnf(c_0_26,negated_conjecture,
    ssItem(sk5),
    co1_8 ).

cnf(c_0_27,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_28,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_29,negated_conjecture,
    app(app(app(sk7,app(cons(sk5,nil),sk8)),cons(sk6,nil)),sk9) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).

cnf(c_0_30,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_28 ).

cnf(c_0_31,negated_conjecture,
    app(app(app(sk7,cons(sk5,sk8)),cons(sk6,nil)),sk9) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_26]),c_0_22])]) ).

cnf(c_0_32,negated_conjecture,
    ssList(sk9),
    co1_12 ).

cnf(c_0_33,negated_conjecture,
    ( app(app(sk7,cons(sk5,sk8)),app(cons(sk6,nil),sk9)) = sk1
    | ~ ssList(app(sk7,cons(sk5,sk8)))
    | ~ ssList(cons(sk6,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_31]),c_0_32])]) ).

cnf(c_0_34,negated_conjecture,
    ssItem(sk6),
    co1_9 ).

cnf(c_0_35,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_36,negated_conjecture,
    ( app(app(sk7,cons(sk5,sk8)),app(cons(sk6,nil),sk9)) = sk1
    | ~ ssList(app(sk7,cons(sk5,sk8))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_25]),c_0_34]),c_0_27])]) ).

cnf(c_0_37,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_35 ).

cnf(c_0_38,plain,
    ( leq(X2,X4)
    | app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X2)
    | ~ totalorderedP(X6)
    | ~ ssList(X6) ),
    inference(fof_simplification,[status(thm)],[clause182]) ).

cnf(c_0_39,negated_conjecture,
    ( app(app(sk7,cons(sk5,sk8)),app(cons(sk6,nil),sk9)) = sk1
    | ~ ssList(cons(sk5,sk8)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_21])]) ).

cnf(c_0_40,plain,
    ( leq(X2,X4)
    | app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X2)
    | ~ totalorderedP(X6)
    | ~ ssList(X6) ),
    c_0_38 ).

cnf(c_0_41,negated_conjecture,
    app(app(sk7,cons(sk5,sk8)),app(cons(sk6,nil),sk9)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_25]),c_0_26]),c_0_22])]) ).

cnf(c_0_42,negated_conjecture,
    totalorderedP(sk3),
    co1_7 ).

cnf(c_0_43,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_44,plain,
    ( ~ lt(X1,X2)
    | ~ lt(X2,X1)
    | ~ ssItem(X1)
    | ~ ssItem(X2) ),
    inference(fof_simplification,[status(thm)],[clause114]) ).

cnf(c_0_45,plain,
    ( lt(X1,X2)
    | X1 = X2
    | ~ leq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[clause121]) ).

cnf(c_0_46,plain,
    ( leq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ totalorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5))) ),
    inference(er,[status(thm)],[c_0_40]) ).

cnf(c_0_47,negated_conjecture,
    app(app(sk7,cons(sk5,sk8)),cons(sk6,sk9)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_30]),c_0_34]),c_0_32])]) ).

cnf(c_0_48,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_49,negated_conjecture,
    totalorderedP(sk1),
    inference(rw,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_50,plain,
    ( ~ lt(X1,X2)
    | ~ lt(X2,X1)
    | ~ ssItem(X1)
    | ~ ssItem(X2) ),
    c_0_44 ).

cnf(c_0_51,negated_conjecture,
    lt(sk6,sk5),
    co1_14 ).

cnf(c_0_52,plain,
    ( lt(X1,X2)
    | X1 = X2
    | ~ leq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    c_0_45 ).

cnf(c_0_53,negated_conjecture,
    leq(sk5,sk6),
    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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_34]),c_0_26]),c_0_48]),c_0_32]),c_0_22]),c_0_21]),c_0_49])]) ).

cnf(c_0_54,negated_conjecture,
    ~ lt(sk5,sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_34]),c_0_26])]) ).

cnf(c_0_55,negated_conjecture,
    sk6 = sk5,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_34]),c_0_26])]),c_0_54]) ).

cnf(c_0_56,negated_conjecture,
    ~ lt(sk5,sk5),
    inference(rw,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_57,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_55]),c_0_56]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC300-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 15:32:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  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.eVgWpbhh2c/E---3.1_26206.p
% 0.73/0.58  # Version: 3.1.0
% 0.73/0.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.73/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.73/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.73/0.58  # Starting new_bool_1 with 300s (1) cores
% 0.73/0.58  # Starting sh5l with 300s (1) cores
% 0.73/0.58  # sh5l with pid 26286 completed with status 0
% 0.73/0.58  # Result found by sh5l
% 0.73/0.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.73/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.73/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.73/0.58  # Starting new_bool_1 with 300s (1) cores
% 0.73/0.58  # Starting sh5l with 300s (1) cores
% 0.73/0.58  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.73/0.58  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.73/0.58  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.73/0.58  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.73/0.58  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 26294 completed with status 0
% 0.73/0.58  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.73/0.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.73/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.73/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.73/0.58  # Starting new_bool_1 with 300s (1) cores
% 0.73/0.58  # Starting sh5l with 300s (1) cores
% 0.73/0.58  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.73/0.58  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.73/0.58  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.73/0.58  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.73/0.58  # Preprocessing time       : 0.003 s
% 0.73/0.58  # Presaturation interreduction done
% 0.73/0.58  
% 0.73/0.58  # Proof found!
% 0.73/0.58  # SZS status Unsatisfiable
% 0.73/0.58  # SZS output start CNFRefutation
% See solution above
% 0.73/0.58  # Parsed axioms                        : 199
% 0.73/0.58  # Removed by relevancy pruning/SinE    : 34
% 0.73/0.58  # Initial clauses                      : 165
% 0.73/0.58  # Removed in clause preprocessing      : 0
% 0.73/0.58  # Initial clauses in saturation        : 165
% 0.73/0.58  # Processed clauses                    : 529
% 0.73/0.58  # ...of these trivial                  : 3
% 0.73/0.58  # ...subsumed                          : 76
% 0.73/0.58  # ...remaining for further processing  : 449
% 0.73/0.58  # Other redundant clauses eliminated   : 37
% 0.73/0.58  # Clauses deleted for lack of memory   : 0
% 0.73/0.58  # Backward-subsumed                    : 8
% 0.73/0.58  # Backward-rewritten                   : 32
% 0.73/0.58  # Generated clauses                    : 927
% 0.73/0.58  # ...of the previous two non-redundant : 819
% 0.73/0.58  # ...aggressively subsumed             : 0
% 0.73/0.58  # Contextual simplify-reflections      : 17
% 0.73/0.58  # Paramodulations                      : 886
% 0.73/0.58  # Factorizations                       : 0
% 0.73/0.58  # NegExts                              : 0
% 0.73/0.58  # Equation resolutions                 : 42
% 0.73/0.58  # Disequality decompositions           : 0
% 0.73/0.58  # Total rewrite steps                  : 983
% 0.73/0.58  # ...of those cached                   : 918
% 0.73/0.58  # Propositional unsat checks           : 0
% 0.73/0.58  #    Propositional check models        : 0
% 0.73/0.58  #    Propositional check unsatisfiable : 0
% 0.73/0.58  #    Propositional clauses             : 0
% 0.73/0.58  #    Propositional clauses after purity: 0
% 0.73/0.58  #    Propositional unsat core size     : 0
% 0.73/0.58  #    Propositional preprocessing time  : 0.000
% 0.73/0.58  #    Propositional encoding time       : 0.000
% 0.73/0.58  #    Propositional solver time         : 0.000
% 0.73/0.58  #    Success case prop preproc time    : 0.000
% 0.73/0.58  #    Success case prop encoding time   : 0.000
% 0.73/0.58  #    Success case prop solver time     : 0.000
% 0.73/0.58  # Current number of processed clauses  : 234
% 0.73/0.58  #    Positive orientable unit clauses  : 73
% 0.73/0.58  #    Positive unorientable unit clauses: 0
% 0.73/0.58  #    Negative unit clauses             : 3
% 0.73/0.58  #    Non-unit-clauses                  : 158
% 0.73/0.58  # Current number of unprocessed clauses: 608
% 0.73/0.58  # ...number of literals in the above   : 2921
% 0.73/0.58  # Current number of archived formulas  : 0
% 0.73/0.58  # Current number of archived clauses   : 197
% 0.73/0.58  # Clause-clause subsumption calls (NU) : 10815
% 0.73/0.58  # Rec. Clause-clause subsumption calls : 2494
% 0.73/0.58  # Non-unit clause-clause subsumptions  : 101
% 0.73/0.58  # Unit Clause-clause subsumption calls : 520
% 0.73/0.58  # Rewrite failures with RHS unbound    : 0
% 0.73/0.58  # BW rewrite match attempts            : 33
% 0.73/0.58  # BW rewrite match successes           : 14
% 0.73/0.58  # Condensation attempts                : 0
% 0.73/0.58  # Condensation successes               : 0
% 0.73/0.58  # Termbank termtop insertions          : 27632
% 0.73/0.58  # Search garbage collected termcells   : 605
% 0.73/0.58  
% 0.73/0.58  # -------------------------------------------------
% 0.73/0.58  # User time                : 0.050 s
% 0.73/0.58  # System time              : 0.005 s
% 0.73/0.58  # Total time               : 0.055 s
% 0.73/0.58  # Maximum resident set size: 2224 pages
% 0.73/0.58  
% 0.73/0.58  # -------------------------------------------------
% 0.73/0.58  # User time                : 0.053 s
% 0.73/0.58  # System time              : 0.008 s
% 0.73/0.58  # Total time               : 0.061 s
% 0.73/0.58  # Maximum resident set size: 1872 pages
% 0.73/0.58  % E---3.1 exiting
%------------------------------------------------------------------------------