TSTP Solution File: SWC357-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC357-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 : Tue May 21 04:29:14 EDT 2024

% Result   : Unsatisfiable 2.05s 0.77s
% Output   : CNFRefutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   50 (  23 unt;   6 nHn;  48 RR)
%            Number of literals    :  111 (  34 equ;  60 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    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   45 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause173,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).

cnf(clause132,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

cnf(co1_8,negated_conjecture,
    ~ segmentP(sk2,sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(co1_10,negated_conjecture,
    ( nil = sk4
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(clause118,axiom,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).

cnf(co1_12,negated_conjecture,
    ( nil = sk3
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(clause51,axiom,
    ssList(skaf45(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(clause79,axiom,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause79) ).

cnf(c_0_15,plain,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    inference(fof_simplification,[status(thm)],[clause173]) ).

cnf(c_0_16,plain,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    c_0_15 ).

cnf(c_0_17,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_18,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_19,plain,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

cnf(c_0_20,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_21,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_22,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_23,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_24,negated_conjecture,
    ~ segmentP(sk2,sk1),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_25,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_16]) ).

cnf(c_0_26,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    c_0_17 ).

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

cnf(c_0_28,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_18 ).

cnf(c_0_29,plain,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_19 ).

cnf(c_0_30,negated_conjecture,
    ( nil = sk4
    | frontsegP(sk4,sk3) ),
    co1_10 ).

cnf(c_0_31,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_32,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_33,negated_conjecture,
    ~ segmentP(sk2,sk1),
    c_0_24 ).

cnf(c_0_34,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause118]) ).

cnf(c_0_35,negated_conjecture,
    ( nil = sk3
    | frontsegP(sk4,sk3) ),
    co1_12 ).

cnf(c_0_36,plain,
    ( segmentP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[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_37,negated_conjecture,
    ( app(sk3,skaf45(sk4,sk3)) = sk4
    | sk4 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_38,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_39,negated_conjecture,
    ~ segmentP(sk4,sk3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_23]),c_0_21]) ).

cnf(c_0_40,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_34 ).

cnf(c_0_41,negated_conjecture,
    ( app(sk3,skaf45(sk4,sk3)) = sk4
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_35]),c_0_31]),c_0_32])]) ).

cnf(c_0_42,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause79]) ).

cnf(c_0_43,negated_conjecture,
    sk4 = nil,
    inference(sr,[status(thm)],[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_31])]),c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ( sk3 = nil
    | sk4 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_38]),c_0_31])]) ).

cnf(c_0_45,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    c_0_42 ).

cnf(c_0_46,negated_conjecture,
    ~ segmentP(nil,sk3),
    inference(rw,[status(thm)],[c_0_39,c_0_43]) ).

cnf(c_0_47,negated_conjecture,
    sk3 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_43])]) ).

cnf(c_0_48,plain,
    segmentP(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_45]),c_0_27])]) ).

cnf(c_0_49,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47]),c_0_48])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC357-1 : TPTP v8.2.0. Released v2.4.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 03:08:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  Running first-order model finding
% 0.20/0.52  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/benchmark/theBenchmark.p
% 2.05/0.77  # Version: 3.1.0
% 2.05/0.77  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.05/0.77  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.05/0.77  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.05/0.77  # Starting new_bool_3 with 300s (1) cores
% 2.05/0.77  # Starting new_bool_1 with 300s (1) cores
% 2.05/0.77  # Starting sh5l with 300s (1) cores
% 2.05/0.77  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 15375 completed with status 0
% 2.05/0.77  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.05/0.77  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.05/0.77  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.05/0.77  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.05/0.77  # No SInE strategy applied
% 2.05/0.77  # Search class: FGHSM-FSLM21-MFFFFFNN
% 2.05/0.77  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 2.05/0.77  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 2.05/0.77  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.05/0.77  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 2.05/0.77  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 2.05/0.77  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 2.05/0.77  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 15381 completed with status 0
% 2.05/0.77  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 2.05/0.77  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.05/0.77  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.05/0.77  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.05/0.77  # No SInE strategy applied
% 2.05/0.77  # Search class: FGHSM-FSLM21-MFFFFFNN
% 2.05/0.77  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 2.05/0.77  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 2.05/0.77  # Preprocessing time       : 0.003 s
% 2.05/0.77  # Presaturation interreduction done
% 2.05/0.77  
% 2.05/0.77  # Proof found!
% 2.05/0.77  # SZS status Unsatisfiable
% 2.05/0.77  # SZS output start CNFRefutation
% See solution above
% 2.05/0.77  # Parsed axioms                        : 197
% 2.05/0.77  # Removed by relevancy pruning/SinE    : 0
% 2.05/0.77  # Initial clauses                      : 197
% 2.05/0.77  # Removed in clause preprocessing      : 0
% 2.05/0.77  # Initial clauses in saturation        : 197
% 2.05/0.77  # Processed clauses                    : 2165
% 2.05/0.77  # ...of these trivial                  : 4
% 2.05/0.77  # ...subsumed                          : 1319
% 2.05/0.77  # ...remaining for further processing  : 842
% 2.05/0.77  # Other redundant clauses eliminated   : 189
% 2.05/0.77  # Clauses deleted for lack of memory   : 0
% 2.05/0.77  # Backward-subsumed                    : 18
% 2.05/0.77  # Backward-rewritten                   : 216
% 2.05/0.77  # Generated clauses                    : 6388
% 2.05/0.77  # ...of the previous two non-redundant : 5841
% 2.05/0.77  # ...aggressively subsumed             : 0
% 2.05/0.77  # Contextual simplify-reflections      : 141
% 2.05/0.77  # Paramodulations                      : 6191
% 2.05/0.77  # Factorizations                       : 0
% 2.05/0.77  # NegExts                              : 0
% 2.05/0.77  # Equation resolutions                 : 198
% 2.05/0.77  # Disequality decompositions           : 0
% 2.05/0.77  # Total rewrite steps                  : 6915
% 2.05/0.77  # ...of those cached                   : 6737
% 2.05/0.77  # Propositional unsat checks           : 0
% 2.05/0.77  #    Propositional check models        : 0
% 2.05/0.77  #    Propositional check unsatisfiable : 0
% 2.05/0.77  #    Propositional clauses             : 0
% 2.05/0.77  #    Propositional clauses after purity: 0
% 2.05/0.77  #    Propositional unsat core size     : 0
% 2.05/0.77  #    Propositional preprocessing time  : 0.000
% 2.05/0.77  #    Propositional encoding time       : 0.000
% 2.05/0.77  #    Propositional solver time         : 0.000
% 2.05/0.77  #    Success case prop preproc time    : 0.000
% 2.05/0.77  #    Success case prop encoding time   : 0.000
% 2.05/0.77  #    Success case prop solver time     : 0.000
% 2.05/0.77  # Current number of processed clauses  : 396
% 2.05/0.77  #    Positive orientable unit clauses  : 60
% 2.05/0.77  #    Positive unorientable unit clauses: 0
% 2.05/0.77  #    Negative unit clauses             : 2
% 2.05/0.77  #    Non-unit-clauses                  : 334
% 2.05/0.77  # Current number of unprocessed clauses: 4044
% 2.05/0.77  # ...number of literals in the above   : 21833
% 2.05/0.77  # Current number of archived formulas  : 0
% 2.05/0.77  # Current number of archived clauses   : 423
% 2.05/0.77  # Clause-clause subsumption calls (NU) : 47954
% 2.05/0.77  # Rec. Clause-clause subsumption calls : 12975
% 2.05/0.77  # Non-unit clause-clause subsumptions  : 1265
% 2.05/0.77  # Unit Clause-clause subsumption calls : 134
% 2.05/0.77  # Rewrite failures with RHS unbound    : 0
% 2.05/0.77  # BW rewrite match attempts            : 4
% 2.05/0.77  # BW rewrite match successes           : 4
% 2.05/0.77  # Condensation attempts                : 0
% 2.05/0.77  # Condensation successes               : 0
% 2.05/0.77  # Termbank termtop insertions          : 119040
% 2.05/0.77  # Search garbage collected termcells   : 529
% 2.05/0.77  
% 2.05/0.77  # -------------------------------------------------
% 2.05/0.77  # User time                : 0.224 s
% 2.05/0.77  # System time              : 0.011 s
% 2.05/0.77  # Total time               : 0.235 s
% 2.05/0.77  # Maximum resident set size: 2144 pages
% 2.05/0.77  
% 2.05/0.77  # -------------------------------------------------
% 2.05/0.77  # User time                : 1.093 s
% 2.05/0.77  # System time              : 0.051 s
% 2.05/0.77  # Total time               : 1.144 s
% 2.05/0.77  # Maximum resident set size: 1896 pages
% 2.05/0.77  % E---3.1 exiting
%------------------------------------------------------------------------------