TSTP Solution File: SWC112-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC112-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 19:41:33 EDT 2023

% Result   : Unsatisfiable 0.17s 0.48s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   47 (  22 unt;   3 nHn;  47 RR)
%            Number of literals    :  105 (  39 equ;  61 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   33 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_9,negated_conjecture,
    app(app(sk5,sk3),sk6) = sk4,
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',co1_9) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',co1_6) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',co1_5) ).

cnf(co1_13,negated_conjecture,
    ( nil = sk4
    | nil != sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',co1_13) ).

cnf(clause118,axiom,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',clause118) ).

cnf(co1_8,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',co1_8) ).

cnf(clause115,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',clause115) ).

cnf(co1_16,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',co1_16) ).

cnf(clause173,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',clause173) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',clause85) ).

cnf(co1_7,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',co1_7) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',co1_1) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',clause8) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',co1_2) ).

cnf(clause119,axiom,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',clause119) ).

cnf(clause100,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',clause100) ).

cnf(co1_15,negated_conjecture,
    ( nil = sk2
    | ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p',co1_15) ).

cnf(c_0_17,negated_conjecture,
    app(app(sk5,sk3),sk6) = sk4,
    co1_9 ).

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

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

cnf(c_0_20,negated_conjecture,
    ( nil = sk4
    | nil != sk3 ),
    co1_13 ).

cnf(c_0_21,axiom,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause118 ).

cnf(c_0_22,negated_conjecture,
    app(app(sk5,sk1),sk6) = sk2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    ssList(sk6),
    co1_8 ).

cnf(c_0_24,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause115 ).

cnf(c_0_25,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    co1_16 ).

cnf(c_0_26,negated_conjecture,
    ( sk2 = nil
    | sk1 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_19]),c_0_18]) ).

cnf(c_0_27,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    clause173 ).

cnf(c_0_28,negated_conjecture,
    ( app(sk5,sk1) = nil
    | sk2 != nil
    | ~ ssList(app(sk5,sk1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).

cnf(c_0_29,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause85 ).

cnf(c_0_30,negated_conjecture,
    ssList(sk5),
    co1_7 ).

cnf(c_0_31,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_32,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_24]) ).

cnf(c_0_33,negated_conjecture,
    ( neq(nil,nil)
    | sk1 != nil ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_34,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_35,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_27]) ).

cnf(c_0_36,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_37,axiom,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause119 ).

cnf(c_0_38,negated_conjecture,
    ( app(sk5,sk1) = nil
    | sk2 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).

cnf(c_0_39,negated_conjecture,
    sk1 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

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

cnf(c_0_41,negated_conjecture,
    ( nil = sk2
    | ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    co1_15 ).

cnf(c_0_42,negated_conjecture,
    segmentP(sk2,sk1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_22]),c_0_36]),c_0_23]),c_0_31]),c_0_30])]) ).

cnf(c_0_43,negated_conjecture,
    sk2 != nil,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_31]),c_0_30])]),c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ( X1 = sk1
    | neq(sk1,X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_31]) ).

cnf(c_0_45,negated_conjecture,
    ~ neq(sk1,nil),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]),c_0_43]) ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_34]),c_0_39]),c_0_45]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SWC112-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n022.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 02:02:09 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 0.17/0.45  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.82QWlVkyrQ/E---3.1_8176.p
% 0.17/0.48  # Version: 3.1pre001
% 0.17/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.48  # Starting sh5l with 300s (1) cores
% 0.17/0.48  # new_bool_3 with pid 8254 completed with status 0
% 0.17/0.48  # Result found by new_bool_3
% 0.17/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.48  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.17/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.17/0.48  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 8257 completed with status 0
% 0.17/0.48  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.48  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.17/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.17/0.48  # Preprocessing time       : 0.006 s
% 0.17/0.48  # Presaturation interreduction done
% 0.17/0.48  
% 0.17/0.48  # Proof found!
% 0.17/0.48  # SZS status Unsatisfiable
% 0.17/0.48  # SZS output start CNFRefutation
% See solution above
% 0.17/0.48  # Parsed axioms                        : 202
% 0.17/0.48  # Removed by relevancy pruning/SinE    : 127
% 0.17/0.48  # Initial clauses                      : 75
% 0.17/0.48  # Removed in clause preprocessing      : 0
% 0.17/0.48  # Initial clauses in saturation        : 75
% 0.17/0.48  # Processed clauses                    : 194
% 0.17/0.48  # ...of these trivial                  : 2
% 0.17/0.48  # ...subsumed                          : 11
% 0.17/0.48  # ...remaining for further processing  : 181
% 0.17/0.48  # Other redundant clauses eliminated   : 15
% 0.17/0.48  # Clauses deleted for lack of memory   : 0
% 0.17/0.48  # Backward-subsumed                    : 7
% 0.17/0.48  # Backward-rewritten                   : 1
% 0.17/0.48  # Generated clauses                    : 219
% 0.17/0.48  # ...of the previous two non-redundant : 191
% 0.17/0.48  # ...aggressively subsumed             : 0
% 0.17/0.48  # Contextual simplify-reflections      : 1
% 0.17/0.48  # Paramodulations                      : 199
% 0.17/0.48  # Factorizations                       : 0
% 0.17/0.48  # NegExts                              : 0
% 0.17/0.48  # Equation resolutions                 : 19
% 0.17/0.48  # Total rewrite steps                  : 115
% 0.17/0.48  # Propositional unsat checks           : 0
% 0.17/0.48  #    Propositional check models        : 0
% 0.17/0.48  #    Propositional check unsatisfiable : 0
% 0.17/0.48  #    Propositional clauses             : 0
% 0.17/0.48  #    Propositional clauses after purity: 0
% 0.17/0.48  #    Propositional unsat core size     : 0
% 0.17/0.48  #    Propositional preprocessing time  : 0.000
% 0.17/0.48  #    Propositional encoding time       : 0.000
% 0.17/0.48  #    Propositional solver time         : 0.000
% 0.17/0.48  #    Success case prop preproc time    : 0.000
% 0.17/0.48  #    Success case prop encoding time   : 0.000
% 0.17/0.48  #    Success case prop solver time     : 0.000
% 0.17/0.48  # Current number of processed clauses  : 93
% 0.17/0.48  #    Positive orientable unit clauses  : 18
% 0.17/0.48  #    Positive unorientable unit clauses: 0
% 0.17/0.48  #    Negative unit clauses             : 3
% 0.17/0.48  #    Non-unit-clauses                  : 72
% 0.17/0.48  # Current number of unprocessed clauses: 131
% 0.17/0.48  # ...number of literals in the above   : 719
% 0.17/0.48  # Current number of archived formulas  : 0
% 0.17/0.48  # Current number of archived clauses   : 78
% 0.17/0.48  # Clause-clause subsumption calls (NU) : 2975
% 0.17/0.48  # Rec. Clause-clause subsumption calls : 448
% 0.17/0.48  # Non-unit clause-clause subsumptions  : 11
% 0.17/0.48  # Unit Clause-clause subsumption calls : 15
% 0.17/0.48  # Rewrite failures with RHS unbound    : 0
% 0.17/0.48  # BW rewrite match attempts            : 1
% 0.17/0.48  # BW rewrite match successes           : 1
% 0.17/0.48  # Condensation attempts                : 0
% 0.17/0.48  # Condensation successes               : 0
% 0.17/0.48  # Termbank termtop insertions          : 7317
% 0.17/0.48  
% 0.17/0.48  # -------------------------------------------------
% 0.17/0.48  # User time                : 0.013 s
% 0.17/0.48  # System time              : 0.007 s
% 0.17/0.48  # Total time               : 0.020 s
% 0.17/0.48  # Maximum resident set size: 1976 pages
% 0.17/0.48  
% 0.17/0.48  # -------------------------------------------------
% 0.17/0.48  # User time                : 0.016 s
% 0.17/0.48  # System time              : 0.009 s
% 0.17/0.48  # Total time               : 0.025 s
% 0.17/0.48  # Maximum resident set size: 1856 pages
% 0.17/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------