TSTP Solution File: SWC366-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC366-1 : 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:40:38 EDT 2023

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   45 (  18 unt;   8 nHn;  45 RR)
%            Number of literals    :  114 (  26 equ;  70 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p',co1_7) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p',co1_5) ).

cnf(co1_11,negated_conjecture,
    ( sk4 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X2,sk3) != X1
    | ~ ssItem(X3)
    | cons(X3,nil) != X2
    | hd(sk4) != X3
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p',co1_11) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p',co1_6) ).

cnf(co1_12,negated_conjecture,
    ( ~ rearsegP(sk2,sk1)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p',co1_12) ).

cnf(clause143,axiom,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p',clause143) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p',clause85) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p',co1_1) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p',co1_2) ).

cnf(clause100,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p',clause100) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p',clause8) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p',clause86) ).

cnf(clause76,axiom,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p',clause76) ).

cnf(clause115,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p',clause115) ).

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

cnf(c_0_15,negated_conjecture,
    neq(sk2,nil),
    c_0_14 ).

cnf(c_0_16,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_17,negated_conjecture,
    ( sk4 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X2,sk3) != X1
    | ~ ssItem(X3)
    | cons(X3,nil) != X2
    | hd(sk4) != X3
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    co1_11 ).

cnf(c_0_18,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_19,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ rearsegP(sk2,sk1)
    | ~ neq(sk4,nil) ),
    co1_12 ).

cnf(c_0_21,axiom,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause143 ).

cnf(c_0_22,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause85 ).

cnf(c_0_23,negated_conjecture,
    ( app(cons(hd(sk4),nil),sk1) = sk4
    | ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(app(cons(hd(sk4),nil),sk1))
    | ~ ssList(cons(hd(sk4),nil)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_19])])])])]) ).

cnf(c_0_24,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_25,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ~ rearsegP(sk4,sk1) ),
    inference(rw,[status(thm)],[c_0_20,c_0_16]) ).

cnf(c_0_26,plain,
    ( rearsegP(app(X1,X2),X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_21]),c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ( app(cons(hd(sk4),nil),sk1) = sk4
    | ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_22]),c_0_24])]) ).

cnf(c_0_28,negated_conjecture,
    ~ rearsegP(sk4,sk1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_19])]) ).

cnf(c_0_29,negated_conjecture,
    ssList(sk2),
    co1_2 ).

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

cnf(c_0_31,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_32,negated_conjecture,
    ( ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_24])]),c_0_28]) ).

cnf(c_0_33,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_34,axiom,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    clause76 ).

cnf(c_0_35,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_29,c_0_16]) ).

cnf(c_0_36,plain,
    ( X1 = nil
    | neq(nil,X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_31])]) ).

cnf(c_0_38,negated_conjecture,
    ( sk4 = nil
    | ssItem(hd(sk4)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_39,negated_conjecture,
    ( sk4 = nil
    | neq(nil,sk4) ),
    inference(spm,[status(thm)],[c_0_36,c_0_35]) ).

cnf(c_0_40,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause115 ).

cnf(c_0_41,negated_conjecture,
    sk4 = nil,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_42,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_40]) ).

cnf(c_0_43,negated_conjecture,
    neq(nil,nil),
    inference(rw,[status(thm)],[c_0_19,c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_31])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : SWC366-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n028.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   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Oct  3 01:56:22 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 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 --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.1D1Rhlniu4/E---3.1_24342.p
% 0.20/0.52  # Version: 3.1pre001
% 0.20/0.52  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.52  # Starting sh5l with 300s (1) cores
% 0.20/0.52  # new_bool_3 with pid 24421 completed with status 0
% 0.20/0.52  # Result found by new_bool_3
% 0.20/0.52  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.52  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.20/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.20/0.52  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 24424 completed with status 0
% 0.20/0.52  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.52  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.52  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.20/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.20/0.52  # Preprocessing time       : 0.003 s
% 0.20/0.52  # Presaturation interreduction done
% 0.20/0.52  
% 0.20/0.52  # Proof found!
% 0.20/0.52  # SZS status Unsatisfiable
% 0.20/0.52  # SZS output start CNFRefutation
% See solution above
% 0.20/0.52  # Parsed axioms                        : 197
% 0.20/0.52  # Removed by relevancy pruning/SinE    : 127
% 0.20/0.52  # Initial clauses                      : 70
% 0.20/0.52  # Removed in clause preprocessing      : 0
% 0.20/0.52  # Initial clauses in saturation        : 70
% 0.20/0.52  # Processed clauses                    : 167
% 0.20/0.52  # ...of these trivial                  : 5
% 0.20/0.52  # ...subsumed                          : 6
% 0.20/0.52  # ...remaining for further processing  : 156
% 0.20/0.52  # Other redundant clauses eliminated   : 18
% 0.20/0.52  # Clauses deleted for lack of memory   : 0
% 0.20/0.52  # Backward-subsumed                    : 9
% 0.20/0.52  # Backward-rewritten                   : 12
% 0.20/0.52  # Generated clauses                    : 164
% 0.20/0.52  # ...of the previous two non-redundant : 145
% 0.20/0.52  # ...aggressively subsumed             : 0
% 0.20/0.52  # Contextual simplify-reflections      : 3
% 0.20/0.52  # Paramodulations                      : 145
% 0.20/0.52  # Factorizations                       : 0
% 0.20/0.52  # NegExts                              : 0
% 0.20/0.52  # Equation resolutions                 : 22
% 0.20/0.52  # Total rewrite steps                  : 109
% 0.20/0.52  # Propositional unsat checks           : 0
% 0.20/0.52  #    Propositional check models        : 0
% 0.20/0.52  #    Propositional check unsatisfiable : 0
% 0.20/0.52  #    Propositional clauses             : 0
% 0.20/0.52  #    Propositional clauses after purity: 0
% 0.20/0.52  #    Propositional unsat core size     : 0
% 0.20/0.52  #    Propositional preprocessing time  : 0.000
% 0.20/0.52  #    Propositional encoding time       : 0.000
% 0.20/0.52  #    Propositional solver time         : 0.000
% 0.20/0.52  #    Success case prop preproc time    : 0.000
% 0.20/0.52  #    Success case prop encoding time   : 0.000
% 0.20/0.52  #    Success case prop solver time     : 0.000
% 0.20/0.52  # Current number of processed clauses  : 64
% 0.20/0.52  #    Positive orientable unit clauses  : 10
% 0.20/0.52  #    Positive unorientable unit clauses: 0
% 0.20/0.52  #    Negative unit clauses             : 1
% 0.20/0.52  #    Non-unit-clauses                  : 53
% 0.20/0.52  # Current number of unprocessed clauses: 108
% 0.20/0.52  # ...number of literals in the above   : 578
% 0.20/0.52  # Current number of archived formulas  : 0
% 0.20/0.52  # Current number of archived clauses   : 81
% 0.20/0.52  # Clause-clause subsumption calls (NU) : 2086
% 0.20/0.52  # Rec. Clause-clause subsumption calls : 369
% 0.20/0.52  # Non-unit clause-clause subsumptions  : 18
% 0.20/0.52  # Unit Clause-clause subsumption calls : 46
% 0.20/0.52  # Rewrite failures with RHS unbound    : 0
% 0.20/0.52  # BW rewrite match attempts            : 2
% 0.20/0.52  # BW rewrite match successes           : 2
% 0.20/0.52  # Condensation attempts                : 0
% 0.20/0.52  # Condensation successes               : 0
% 0.20/0.52  # Termbank termtop insertions          : 6371
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.012 s
% 0.20/0.52  # System time              : 0.006 s
% 0.20/0.52  # Total time               : 0.018 s
% 0.20/0.52  # Maximum resident set size: 2080 pages
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.016 s
% 0.20/0.52  # System time              : 0.008 s
% 0.20/0.52  # Total time               : 0.024 s
% 0.20/0.52  # Maximum resident set size: 1848 pages
% 0.20/0.52  % E---3.1 exiting
% 0.20/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------