TSTP Solution File: SWC005-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC005-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 19:40:59 EDT 2023

% Result   : Unsatisfiable 0.17s 0.49s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   55 (  17 unt;  16 nHn;  55 RR)
%            Number of literals    :  145 (  53 equ;  85 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   43 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',co1_7) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',co1_5) ).

cnf(co1_11,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X1,X2),X3) != sk2
    | app(X1,X3) != sk1
    | ~ neq(X2,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',co1_11) ).

cnf(co1_12,negated_conjecture,
    ( sk3 = X1
    | ~ ssList(X1)
    | tl(sk4) != X1
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',co1_12) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',co1_6) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',co1_2) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',clause74) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',clause8) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',co1_1) ).

cnf(clause100,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',clause100) ).

cnf(clause75,axiom,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',clause75) ).

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',clause120) ).

cnf(clause104,axiom,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',clause104) ).

cnf(clause76,axiom,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',clause76) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',clause86) ).

cnf(clause99,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',clause99) ).

cnf(clause115,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Ub4uM0Gne/E---3.1_20253.p',clause115) ).

cnf(c_0_17,negated_conjecture,
    neq(sk2,nil),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_18,negated_conjecture,
    neq(sk2,nil),
    c_0_17 ).

cnf(c_0_19,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_20,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X1,X2),X3) != sk2
    | app(X1,X3) != sk1
    | ~ neq(X2,nil)
    | ~ neq(sk4,nil) ),
    co1_11 ).

cnf(c_0_21,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    ( sk3 = X1
    | ~ ssList(X1)
    | tl(sk4) != X1
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    co1_12 ).

cnf(c_0_23,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_24,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_25,negated_conjecture,
    ( app(app(X1,X2),X3) != sk4
    | app(X1,X3) != sk1
    | ~ neq(X2,nil)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_19]),c_0_21])]) ).

cnf(c_0_26,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    clause74 ).

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

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

cnf(c_0_29,negated_conjecture,
    ( tl(sk4) = sk1
    | ~ neq(nil,sk4)
    | ~ ssList(tl(sk4)) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_21])])]) ).

cnf(c_0_30,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause100 ).

cnf(c_0_31,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_24,c_0_19]) ).

cnf(c_0_32,negated_conjecture,
    ( app(app(nil,X1),sk1) != sk4
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])])]),c_0_28])]) ).

cnf(c_0_33,negated_conjecture,
    ( tl(sk4) = sk1
    | sk4 = nil
    | ~ ssList(tl(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_27]),c_0_31])]) ).

cnf(c_0_34,axiom,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    clause75 ).

cnf(c_0_35,negated_conjecture,
    ( app(X1,sk1) != sk4
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_26]) ).

cnf(c_0_36,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause120 ).

cnf(c_0_37,axiom,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    clause104 ).

cnf(c_0_38,negated_conjecture,
    ( tl(sk4) = sk1
    | sk4 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_31])]) ).

cnf(c_0_39,negated_conjecture,
    ( cons(X1,sk1) != sk4
    | ~ neq(cons(X1,nil),nil)
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_28])]) ).

cnf(c_0_40,negated_conjecture,
    ( cons(hd(sk4),sk1) = sk4
    | sk4 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_31])]) ).

cnf(c_0_41,negated_conjecture,
    ( sk4 = nil
    | ~ neq(cons(hd(sk4),nil),nil)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil)) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_42,negated_conjecture,
    ( cons(hd(sk4),nil) = nil
    | sk4 = nil
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_30]),c_0_27])]) ).

cnf(c_0_43,axiom,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    clause76 ).

cnf(c_0_44,negated_conjecture,
    ( cons(hd(sk4),nil) = nil
    | sk4 = nil
    | ~ ssList(cons(hd(sk4),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_31])]) ).

cnf(c_0_45,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_46,negated_conjecture,
    ( cons(hd(sk4),nil) = nil
    | sk4 = nil
    | ~ ssItem(hd(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_27])]) ).

cnf(c_0_47,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause99 ).

cnf(c_0_48,negated_conjecture,
    ( cons(hd(sk4),nil) = nil
    | sk4 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_43]),c_0_31])]) ).

cnf(c_0_49,negated_conjecture,
    ( sk4 = nil
    | ~ ssItem(hd(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_27])]) ).

cnf(c_0_50,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause115 ).

cnf(c_0_51,negated_conjecture,
    sk4 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_43]),c_0_31])]) ).

cnf(c_0_52,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_50]) ).

cnf(c_0_53,negated_conjecture,
    neq(nil,nil),
    inference(rw,[status(thm)],[c_0_21,c_0_51]) ).

cnf(c_0_54,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_27])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWC005-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n029.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 02:22:52 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.45  Running first-order model finding
% 0.17/0.45  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.4Ub4uM0Gne/E---3.1_20253.p
% 0.17/0.49  # Version: 3.1pre001
% 0.17/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.49  # Starting sh5l with 300s (1) cores
% 0.17/0.49  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 20330 completed with status 0
% 0.17/0.49  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.49  # No SInE strategy applied
% 0.17/0.49  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.17/0.49  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.17/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.49  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.17/0.49  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.17/0.49  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 0.17/0.49  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 20336 completed with status 0
% 0.17/0.49  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.17/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.49  # No SInE strategy applied
% 0.17/0.49  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.17/0.49  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.17/0.49  # Preprocessing time       : 0.003 s
% 0.17/0.49  # Presaturation interreduction done
% 0.17/0.49  
% 0.17/0.49  # Proof found!
% 0.17/0.49  # SZS status Unsatisfiable
% 0.17/0.49  # SZS output start CNFRefutation
% See solution above
% 0.17/0.49  # Parsed axioms                        : 197
% 0.17/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.49  # Initial clauses                      : 197
% 0.17/0.49  # Removed in clause preprocessing      : 0
% 0.17/0.49  # Initial clauses in saturation        : 197
% 0.17/0.49  # Processed clauses                    : 474
% 0.17/0.49  # ...of these trivial                  : 5
% 0.17/0.49  # ...subsumed                          : 49
% 0.17/0.49  # ...remaining for further processing  : 420
% 0.17/0.49  # Other redundant clauses eliminated   : 48
% 0.17/0.49  # Clauses deleted for lack of memory   : 0
% 0.17/0.49  # Backward-subsumed                    : 13
% 0.17/0.49  # Backward-rewritten                   : 33
% 0.17/0.49  # Generated clauses                    : 335
% 0.17/0.49  # ...of the previous two non-redundant : 261
% 0.17/0.49  # ...aggressively subsumed             : 0
% 0.17/0.49  # Contextual simplify-reflections      : 5
% 0.17/0.49  # Paramodulations                      : 283
% 0.17/0.49  # Factorizations                       : 0
% 0.17/0.49  # NegExts                              : 0
% 0.17/0.49  # Equation resolutions                 : 53
% 0.17/0.49  # Total rewrite steps                  : 349
% 0.17/0.49  # Propositional unsat checks           : 0
% 0.17/0.49  #    Propositional check models        : 0
% 0.17/0.49  #    Propositional check unsatisfiable : 0
% 0.17/0.49  #    Propositional clauses             : 0
% 0.17/0.49  #    Propositional clauses after purity: 0
% 0.17/0.49  #    Propositional unsat core size     : 0
% 0.17/0.49  #    Propositional preprocessing time  : 0.000
% 0.17/0.49  #    Propositional encoding time       : 0.000
% 0.17/0.49  #    Propositional solver time         : 0.000
% 0.17/0.49  #    Success case prop preproc time    : 0.000
% 0.17/0.49  #    Success case prop encoding time   : 0.000
% 0.17/0.49  #    Success case prop solver time     : 0.000
% 0.17/0.49  # Current number of processed clauses  : 164
% 0.17/0.49  #    Positive orientable unit clauses  : 62
% 0.17/0.49  #    Positive unorientable unit clauses: 0
% 0.17/0.49  #    Negative unit clauses             : 3
% 0.17/0.49  #    Non-unit-clauses                  : 99
% 0.17/0.49  # Current number of unprocessed clauses: 167
% 0.17/0.49  # ...number of literals in the above   : 800
% 0.17/0.49  # Current number of archived formulas  : 0
% 0.17/0.49  # Current number of archived clauses   : 232
% 0.17/0.49  # Clause-clause subsumption calls (NU) : 10474
% 0.17/0.49  # Rec. Clause-clause subsumption calls : 1546
% 0.17/0.49  # Non-unit clause-clause subsumptions  : 61
% 0.17/0.49  # Unit Clause-clause subsumption calls : 63
% 0.17/0.49  # Rewrite failures with RHS unbound    : 0
% 0.17/0.49  # BW rewrite match attempts            : 1
% 0.17/0.49  # BW rewrite match successes           : 1
% 0.17/0.49  # Condensation attempts                : 0
% 0.17/0.49  # Condensation successes               : 0
% 0.17/0.49  # Termbank termtop insertions          : 12009
% 0.17/0.49  
% 0.17/0.49  # -------------------------------------------------
% 0.17/0.49  # User time                : 0.026 s
% 0.17/0.49  # System time              : 0.009 s
% 0.17/0.49  # Total time               : 0.035 s
% 0.17/0.49  # Maximum resident set size: 2124 pages
% 0.17/0.49  
% 0.17/0.49  # -------------------------------------------------
% 0.17/0.49  # User time                : 0.138 s
% 0.17/0.49  # System time              : 0.019 s
% 0.17/0.49  # Total time               : 0.158 s
% 0.17/0.49  # Maximum resident set size: 1852 pages
% 0.17/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------