TSTP Solution File: SWC305-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC305-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 09:41:54 EDT 2024

% Result   : Unsatisfiable 0.73s 0.57s
% Output   : CNFRefutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   52 (  29 unt;   0 nHn;  52 RR)
%            Number of literals    :  124 (  21 equ;  76 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   56 (   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.urao6sCMP3/E---3.1_14505.p',clause149) ).

cnf(co1_15,negated_conjecture,
    app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',co1_15) ).

cnf(co1_12,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',co1_12) ).

cnf(co1_13,negated_conjecture,
    ssList(sk8),
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',co1_13) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',clause86) ).

cnf(co1_10,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',co1_10) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',clause8) ).

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',clause120) ).

cnf(co1_14,negated_conjecture,
    ssList(sk9),
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',co1_14) ).

cnf(co1_11,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',co1_11) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',clause85) ).

cnf(clause181,axiom,
    ( lt(X2,X4)
    | app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X2)
    | ~ strictorderedP(X6)
    | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',clause181) ).

cnf(clause114,axiom,
    ( ~ lt(X1,X2)
    | ~ lt(X2,X1)
    | ~ ssItem(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',clause114) ).

cnf(co1_8,negated_conjecture,
    strictorderedP(sk3),
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',co1_8) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',co1_6) ).

cnf(co1_16,negated_conjecture,
    lt(sk6,sk5),
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',co1_16) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.urao6sCMP3/E---3.1_14505.p',co1_1) ).

cnf(c_0_17,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_18,negated_conjecture,
    app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
    co1_15 ).

cnf(c_0_19,plain,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    c_0_17 ).

cnf(c_0_20,negated_conjecture,
    ssList(sk7),
    co1_12 ).

cnf(c_0_21,negated_conjecture,
    ssList(sk8),
    co1_13 ).

cnf(c_0_22,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_23,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_18,c_0_19]),c_0_20]),c_0_21])]) ).

cnf(c_0_24,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_22 ).

cnf(c_0_25,negated_conjecture,
    ssItem(sk5),
    co1_10 ).

cnf(c_0_26,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_27,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_28,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_23,c_0_24]),c_0_25]),c_0_26])]) ).

cnf(c_0_29,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_27 ).

cnf(c_0_30,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_28,c_0_29]),c_0_25]),c_0_21])]) ).

cnf(c_0_31,negated_conjecture,
    ssList(sk9),
    co1_14 ).

cnf(c_0_32,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_19,c_0_30]),c_0_31])]) ).

cnf(c_0_33,negated_conjecture,
    ssItem(sk6),
    co1_11 ).

cnf(c_0_34,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_35,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_32,c_0_24]),c_0_33]),c_0_26])]) ).

cnf(c_0_36,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_34 ).

cnf(c_0_37,plain,
    ( lt(X2,X4)
    | app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X2)
    | ~ strictorderedP(X6)
    | ~ ssList(X6) ),
    inference(fof_simplification,[status(thm)],[clause181]) ).

cnf(c_0_38,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_35,c_0_36]),c_0_20])]) ).

cnf(c_0_39,plain,
    ( ~ lt(X1,X2)
    | ~ lt(X2,X1)
    | ~ ssItem(X1)
    | ~ ssItem(X2) ),
    inference(fof_simplification,[status(thm)],[clause114]) ).

cnf(c_0_40,plain,
    ( lt(X2,X4)
    | app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X2)
    | ~ strictorderedP(X6)
    | ~ ssList(X6) ),
    c_0_37 ).

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_38,c_0_24]),c_0_25]),c_0_21])]) ).

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

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) ),
    c_0_39 ).

cnf(c_0_45,negated_conjecture,
    lt(sk6,sk5),
    co1_16 ).

cnf(c_0_46,plain,
    ( lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ strictorderedP(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_29]),c_0_33]),c_0_31])]) ).

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

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

cnf(c_0_50,negated_conjecture,
    ~ lt(sk5,sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_33]),c_0_25])]) ).

cnf(c_0_51,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_33]),c_0_25]),c_0_48]),c_0_31]),c_0_21]),c_0_20]),c_0_49])]),c_0_50]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWC305-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 15:33:23 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.19/0.48  Running first-order model finding
% 0.19/0.48  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.urao6sCMP3/E---3.1_14505.p
% 0.73/0.57  # Version: 3.1.0
% 0.73/0.57  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.73/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.57  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.73/0.57  # Starting new_bool_3 with 300s (1) cores
% 0.73/0.57  # Starting new_bool_1 with 300s (1) cores
% 0.73/0.57  # Starting sh5l with 300s (1) cores
% 0.73/0.57  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 14583 completed with status 0
% 0.73/0.57  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.73/0.57  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.73/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.57  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.73/0.57  # No SInE strategy applied
% 0.73/0.57  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.73/0.57  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.73/0.57  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.73/0.57  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.73/0.57  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.73/0.57  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.73/0.57  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 0.73/0.57  # G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 14591 completed with status 0
% 0.73/0.57  # Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S2k
% 0.73/0.57  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.73/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.57  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.73/0.57  # No SInE strategy applied
% 0.73/0.57  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.73/0.57  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.73/0.57  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.73/0.57  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.73/0.57  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.73/0.57  # Preprocessing time       : 0.003 s
% 0.73/0.57  
% 0.73/0.57  # Proof found!
% 0.73/0.57  # SZS status Unsatisfiable
% 0.73/0.57  # SZS output start CNFRefutation
% See solution above
% 0.73/0.57  # Parsed axioms                        : 201
% 0.73/0.57  # Removed by relevancy pruning/SinE    : 0
% 0.73/0.57  # Initial clauses                      : 201
% 0.73/0.57  # Removed in clause preprocessing      : 0
% 0.73/0.57  # Initial clauses in saturation        : 201
% 0.73/0.57  # Processed clauses                    : 490
% 0.73/0.57  # ...of these trivial                  : 4
% 0.73/0.57  # ...subsumed                          : 71
% 0.73/0.57  # ...remaining for further processing  : 415
% 0.73/0.57  # Other redundant clauses eliminated   : 58
% 0.73/0.57  # Clauses deleted for lack of memory   : 0
% 0.73/0.57  # Backward-subsumed                    : 17
% 0.73/0.57  # Backward-rewritten                   : 27
% 0.73/0.57  # Generated clauses                    : 1282
% 0.73/0.57  # ...of the previous two non-redundant : 1129
% 0.73/0.57  # ...aggressively subsumed             : 0
% 0.73/0.57  # Contextual simplify-reflections      : 23
% 0.73/0.57  # Paramodulations                      : 1220
% 0.73/0.57  # Factorizations                       : 0
% 0.73/0.57  # NegExts                              : 0
% 0.73/0.57  # Equation resolutions                 : 63
% 0.73/0.57  # Disequality decompositions           : 0
% 0.73/0.57  # Total rewrite steps                  : 1414
% 0.73/0.57  # ...of those cached                   : 1302
% 0.73/0.57  # Propositional unsat checks           : 0
% 0.73/0.57  #    Propositional check models        : 0
% 0.73/0.57  #    Propositional check unsatisfiable : 0
% 0.73/0.57  #    Propositional clauses             : 0
% 0.73/0.57  #    Propositional clauses after purity: 0
% 0.73/0.57  #    Propositional unsat core size     : 0
% 0.73/0.57  #    Propositional preprocessing time  : 0.000
% 0.73/0.57  #    Propositional encoding time       : 0.000
% 0.73/0.57  #    Propositional solver time         : 0.000
% 0.73/0.57  #    Success case prop preproc time    : 0.000
% 0.73/0.57  #    Success case prop encoding time   : 0.000
% 0.73/0.57  #    Success case prop solver time     : 0.000
% 0.73/0.57  # Current number of processed clauses  : 348
% 0.73/0.57  #    Positive orientable unit clauses  : 98
% 0.73/0.57  #    Positive unorientable unit clauses: 0
% 0.73/0.57  #    Negative unit clauses             : 4
% 0.73/0.57  #    Non-unit-clauses                  : 246
% 0.73/0.57  # Current number of unprocessed clauses: 806
% 0.73/0.57  # ...number of literals in the above   : 4189
% 0.73/0.57  # Current number of archived formulas  : 0
% 0.73/0.57  # Current number of archived clauses   : 44
% 0.73/0.57  # Clause-clause subsumption calls (NU) : 16759
% 0.73/0.57  # Rec. Clause-clause subsumption calls : 4312
% 0.73/0.57  # Non-unit clause-clause subsumptions  : 94
% 0.73/0.57  # Unit Clause-clause subsumption calls : 198
% 0.73/0.57  # Rewrite failures with RHS unbound    : 0
% 0.73/0.57  # BW rewrite match attempts            : 35
% 0.73/0.57  # BW rewrite match successes           : 16
% 0.73/0.57  # Condensation attempts                : 0
% 0.73/0.57  # Condensation successes               : 0
% 0.73/0.57  # Termbank termtop insertions          : 36106
% 0.73/0.57  # Search garbage collected termcells   : 538
% 0.73/0.57  
% 0.73/0.57  # -------------------------------------------------
% 0.73/0.57  # User time                : 0.060 s
% 0.73/0.57  # System time              : 0.006 s
% 0.73/0.57  # Total time               : 0.066 s
% 0.73/0.57  # Maximum resident set size: 2148 pages
% 0.73/0.57  
% 0.73/0.57  # -------------------------------------------------
% 0.73/0.57  # User time                : 0.290 s
% 0.73/0.57  # System time              : 0.032 s
% 0.73/0.57  # Total time               : 0.322 s
% 0.73/0.57  # Maximum resident set size: 1872 pages
% 0.73/0.57  % E---3.1 exiting
%------------------------------------------------------------------------------