TSTP Solution File: SWC229-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC229-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 19:39:59 EDT 2023

% Result   : Unsatisfiable 0.17s 0.52s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   49 (  20 unt;   2 nHn;  47 RR)
%            Number of literals    :  107 (  30 equ;  67 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   38 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause71,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',clause71) ).

cnf(co1_11,negated_conjecture,
    ( memberP(X3,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',co1_11) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',clause8) ).

cnf(co1_9,negated_conjecture,
    ( ssItem(sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',co1_9) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',clause74) ).

cnf(clause101,axiom,
    ( cons(skaf44(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',clause101) ).

cnf(clause47,axiom,
    ssItem(skaf44(X1)),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',clause47) ).

cnf(co1_14,negated_conjecture,
    ( singletonP(sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',co1_14) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',co1_6) ).

cnf(co1_7,negated_conjecture,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',co1_7) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',co1_2) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',co1_5) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',co1_1) ).

cnf(clause127,axiom,
    ( X2 = X1
    | ~ segmentP(X1,X2)
    | ~ segmentP(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',clause127) ).

cnf(clause100,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',clause100) ).

cnf(co1_8,negated_conjecture,
    nil != sk1,
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',co1_8) ).

cnf(clause56,axiom,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',clause56) ).

cnf(clause73,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Cg1REUJMg/E---3.1_32707.p',clause73) ).

cnf(c_0_18,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    clause71 ).

cnf(c_0_19,negated_conjecture,
    ( memberP(X3,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    co1_11 ).

cnf(c_0_20,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_21,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),nil) != sk1
    | ~ ssItem(sk5(nil,X1,X2))
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_22,negated_conjecture,
    ( ssItem(sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    co1_9 ).

cnf(c_0_23,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),nil) != sk1
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20])]) ).

cnf(c_0_24,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    clause74 ).

cnf(c_0_25,negated_conjecture,
    ( app(cons(X1,nil),nil) != sk1
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_20])]) ).

cnf(c_0_26,axiom,
    ( cons(skaf44(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    clause101 ).

cnf(c_0_27,axiom,
    ssItem(skaf44(X1)),
    clause47 ).

cnf(c_0_28,negated_conjecture,
    ( singletonP(sk3)
    | ~ neq(sk4,nil) ),
    co1_14 ).

cnf(c_0_29,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_30,negated_conjecture,
    segmentP(sk4,sk3),
    co1_7 ).

cnf(c_0_31,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_32,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_33,negated_conjecture,
    ( app(X1,nil) != sk1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).

cnf(c_0_34,negated_conjecture,
    ( singletonP(sk1)
    | ~ neq(sk4,nil) ),
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_36,axiom,
    ( X2 = X1
    | ~ segmentP(X1,X2)
    | ~ segmentP(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause127 ).

cnf(c_0_37,negated_conjecture,
    segmentP(sk4,sk1),
    inference(rw,[status(thm)],[c_0_30,c_0_29]) ).

cnf(c_0_38,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    ( app(sk1,nil) != sk1
    | ~ neq(sk4,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).

cnf(c_0_40,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause100 ).

cnf(c_0_41,negated_conjecture,
    ( sk4 = sk1
    | ~ segmentP(sk1,sk4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_35])]) ).

cnf(c_0_42,negated_conjecture,
    ( sk4 = nil
    | app(sk1,nil) != sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_38]),c_0_20])]) ).

cnf(c_0_43,negated_conjecture,
    nil != sk1,
    co1_8 ).

cnf(c_0_44,negated_conjecture,
    ( app(sk1,nil) != sk1
    | ~ segmentP(sk1,nil) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).

cnf(c_0_45,axiom,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    clause56 ).

cnf(c_0_46,negated_conjecture,
    app(sk1,nil) != sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_35])]) ).

cnf(c_0_47,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    clause73 ).

cnf(c_0_48,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_35])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC229-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 2400
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Oct  3 01:45:51 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.17/0.46  Running first-order theorem proving
% 0.17/0.46  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.4Cg1REUJMg/E---3.1_32707.p
% 0.17/0.52  # Version: 3.1pre001
% 0.17/0.52  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.52  # Starting sh5l with 300s (1) cores
% 0.17/0.52  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 317 completed with status 0
% 0.17/0.52  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.52  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.52  # No SInE strategy applied
% 0.17/0.52  # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.17/0.52  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.52  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.17/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.52  # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.17/0.52  # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.52  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 0.17/0.52  # G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with pid 325 completed with status 0
% 0.17/0.52  # Result found by G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 0.17/0.52  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.52  # No SInE strategy applied
% 0.17/0.52  # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.17/0.52  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.52  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.17/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.52  # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.17/0.52  # Preprocessing time       : 0.003 s
% 0.17/0.52  # Presaturation interreduction done
% 0.17/0.52  
% 0.17/0.52  # Proof found!
% 0.17/0.52  # SZS status Unsatisfiable
% 0.17/0.52  # SZS output start CNFRefutation
% See solution above
% 0.17/0.52  # Parsed axioms                        : 199
% 0.17/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.52  # Initial clauses                      : 199
% 0.17/0.52  # Removed in clause preprocessing      : 0
% 0.17/0.52  # Initial clauses in saturation        : 199
% 0.17/0.52  # Processed clauses                    : 427
% 0.17/0.52  # ...of these trivial                  : 2
% 0.17/0.52  # ...subsumed                          : 11
% 0.17/0.52  # ...remaining for further processing  : 414
% 0.17/0.52  # Other redundant clauses eliminated   : 82
% 0.17/0.52  # Clauses deleted for lack of memory   : 0
% 0.17/0.52  # Backward-subsumed                    : 5
% 0.17/0.52  # Backward-rewritten                   : 0
% 0.17/0.52  # Generated clauses                    : 878
% 0.17/0.52  # ...of the previous two non-redundant : 714
% 0.17/0.52  # ...aggressively subsumed             : 0
% 0.17/0.52  # Contextual simplify-reflections      : 4
% 0.17/0.52  # Paramodulations                      : 778
% 0.17/0.52  # Factorizations                       : 0
% 0.17/0.52  # NegExts                              : 0
% 0.17/0.52  # Equation resolutions                 : 100
% 0.17/0.52  # Total rewrite steps                  : 710
% 0.17/0.52  # Propositional unsat checks           : 0
% 0.17/0.52  #    Propositional check models        : 0
% 0.17/0.52  #    Propositional check unsatisfiable : 0
% 0.17/0.52  #    Propositional clauses             : 0
% 0.17/0.52  #    Propositional clauses after purity: 0
% 0.17/0.52  #    Propositional unsat core size     : 0
% 0.17/0.52  #    Propositional preprocessing time  : 0.000
% 0.17/0.52  #    Propositional encoding time       : 0.000
% 0.17/0.52  #    Propositional solver time         : 0.000
% 0.17/0.52  #    Success case prop preproc time    : 0.000
% 0.17/0.52  #    Success case prop encoding time   : 0.000
% 0.17/0.52  #    Success case prop solver time     : 0.000
% 0.17/0.52  # Current number of processed clauses  : 211
% 0.17/0.52  #    Positive orientable unit clauses  : 57
% 0.17/0.52  #    Positive unorientable unit clauses: 0
% 0.17/0.52  #    Negative unit clauses             : 4
% 0.17/0.52  #    Non-unit-clauses                  : 150
% 0.17/0.52  # Current number of unprocessed clauses: 679
% 0.17/0.52  # ...number of literals in the above   : 4379
% 0.17/0.52  # Current number of archived formulas  : 0
% 0.17/0.52  # Current number of archived clauses   : 198
% 0.17/0.52  # Clause-clause subsumption calls (NU) : 9890
% 0.17/0.52  # Rec. Clause-clause subsumption calls : 1216
% 0.17/0.52  # Non-unit clause-clause subsumptions  : 15
% 0.17/0.52  # Unit Clause-clause subsumption calls : 19
% 0.17/0.52  # Rewrite failures with RHS unbound    : 0
% 0.17/0.52  # BW rewrite match attempts            : 0
% 0.17/0.52  # BW rewrite match successes           : 0
% 0.17/0.52  # Condensation attempts                : 0
% 0.17/0.52  # Condensation successes               : 0
% 0.17/0.52  # Termbank termtop insertions          : 23605
% 0.17/0.52  
% 0.17/0.52  # -------------------------------------------------
% 0.17/0.52  # User time                : 0.037 s
% 0.17/0.52  # System time              : 0.007 s
% 0.17/0.52  # Total time               : 0.045 s
% 0.17/0.52  # Maximum resident set size: 2104 pages
% 0.17/0.52  
% 0.17/0.52  # -------------------------------------------------
% 0.17/0.52  # User time                : 0.191 s
% 0.17/0.52  # System time              : 0.019 s
% 0.17/0.52  # Total time               : 0.209 s
% 0.17/0.52  # Maximum resident set size: 1852 pages
% 0.17/0.52  % E---3.1 exiting
% 0.17/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------