TSTP Solution File: SWC200-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC200-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 04:28:17 EDT 2024

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   40 (  14 unt;   3 nHn;  38 RR)
%            Number of literals    :   88 (  19 equ;  51 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   37 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause97,axiom,
    ( hd(cons(X1,X2)) = X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).

cnf(clause101,axiom,
    ( cons(skaf44(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause101) ).

cnf(clause47,axiom,
    ssItem(skaf44(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause47) ).

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

cnf(co1_7,negated_conjecture,
    singletonP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

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

cnf(clause161,axiom,
    ( memberP(X2,X3)
    | X3 = X1
    | ~ memberP(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause161) ).

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

cnf(clause71,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).

cnf(co1_9,negated_conjecture,
    ( memberP(sk1,sk5(X1))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_8,negated_conjecture,
    ( ssItem(sk5(X1))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_10,negated_conjecture,
    ( ~ ssItem(X1)
    | X1 != sk5(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_0_12,plain,
    ( hd(cons(X1,X2)) = X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause97]) ).

cnf(c_0_13,plain,
    ( cons(skaf44(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause101]) ).

cnf(c_0_14,plain,
    ( hd(cons(X1,X2)) = X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_12 ).

cnf(c_0_15,plain,
    ( cons(skaf44(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    c_0_13 ).

cnf(c_0_16,axiom,
    ssItem(skaf44(X1)),
    clause47 ).

cnf(c_0_17,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_18,plain,
    ( skaf44(X1) = hd(X1)
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]) ).

cnf(c_0_19,negated_conjecture,
    singletonP(sk3),
    co1_7 ).

cnf(c_0_20,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_21,plain,
    ( memberP(X2,X3)
    | X3 = X1
    | ~ memberP(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3) ),
    inference(fof_simplification,[status(thm)],[clause161]) ).

cnf(c_0_22,plain,
    ( cons(hd(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    singletonP(sk1),
    inference(rw,[status(thm)],[c_0_19,c_0_20]) ).

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

cnf(c_0_25,plain,
    ( ssItem(hd(X1))
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_18]) ).

cnf(c_0_26,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

cnf(c_0_27,plain,
    ( memberP(X2,X3)
    | X3 = X1
    | ~ memberP(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3) ),
    c_0_21 ).

cnf(c_0_28,negated_conjecture,
    cons(hd(sk1),nil) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_29,negated_conjecture,
    ssItem(hd(sk1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_24])]) ).

cnf(c_0_30,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    c_0_26 ).

cnf(c_0_31,negated_conjecture,
    ( memberP(sk1,sk5(X1))
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[co1_9]) ).

cnf(c_0_32,negated_conjecture,
    ( ssItem(sk5(X1))
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ ssItem(X1)
    | X1 != sk5(X1) ),
    inference(fof_simplification,[status(thm)],[co1_10]) ).

cnf(c_0_34,negated_conjecture,
    ( hd(sk1) = X1
    | ~ memberP(sk1,X1)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_17])]),c_0_30]) ).

cnf(c_0_35,negated_conjecture,
    ( memberP(sk1,sk5(X1))
    | ~ ssItem(X1) ),
    c_0_31 ).

cnf(c_0_36,negated_conjecture,
    ( ssItem(sk5(X1))
    | ~ ssItem(X1) ),
    c_0_32 ).

cnf(c_0_37,negated_conjecture,
    ( ~ ssItem(X1)
    | X1 != sk5(X1) ),
    c_0_33 ).

cnf(c_0_38,negated_conjecture,
    ( sk5(X1) = hd(sk1)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38])]),c_0_29])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : SWC200-1 : TPTP v8.2.0. Released v2.4.0.
% 0.00/0.09  % Command    : run_E %s %d THM
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Sun May 19 03:07:07 EDT 2024
% 0.09/0.28  % CPUTime    : 
% 0.13/0.35  Running first-order model finding
% 0.13/0.35  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
% 0.13/0.39  # Version: 3.1.0
% 0.13/0.39  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.39  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.39  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.39  # Starting new_bool_1 with 300s (1) cores
% 0.13/0.39  # Starting sh5l with 300s (1) cores
% 0.13/0.39  # sh5l with pid 25446 completed with status 0
% 0.13/0.39  # Result found by sh5l
% 0.13/0.39  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.39  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.39  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.39  # Starting new_bool_1 with 300s (1) cores
% 0.13/0.39  # Starting sh5l with 300s (1) cores
% 0.13/0.39  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.39  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.13/0.39  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.39  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.13/0.39  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 25456 completed with status 0
% 0.13/0.39  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.13/0.39  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.39  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.39  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.39  # Starting new_bool_1 with 300s (1) cores
% 0.13/0.39  # Starting sh5l with 300s (1) cores
% 0.13/0.39  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.39  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.13/0.39  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.39  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.13/0.39  # Preprocessing time       : 0.002 s
% 0.13/0.39  # Presaturation interreduction done
% 0.13/0.39  
% 0.13/0.39  # Proof found!
% 0.13/0.39  # SZS status Unsatisfiable
% 0.13/0.39  # SZS output start CNFRefutation
% See solution above
% 0.13/0.39  # Parsed axioms                        : 195
% 0.13/0.39  # Removed by relevancy pruning/SinE    : 33
% 0.13/0.39  # Initial clauses                      : 162
% 0.13/0.39  # Removed in clause preprocessing      : 0
% 0.13/0.39  # Initial clauses in saturation        : 162
% 0.13/0.39  # Processed clauses                    : 371
% 0.13/0.39  # ...of these trivial                  : 3
% 0.13/0.39  # ...subsumed                          : 22
% 0.13/0.39  # ...remaining for further processing  : 346
% 0.13/0.39  # Other redundant clauses eliminated   : 37
% 0.13/0.39  # Clauses deleted for lack of memory   : 0
% 0.13/0.39  # Backward-subsumed                    : 3
% 0.13/0.39  # Backward-rewritten                   : 1
% 0.13/0.39  # Generated clauses                    : 338
% 0.13/0.39  # ...of the previous two non-redundant : 258
% 0.13/0.39  # ...aggressively subsumed             : 0
% 0.13/0.39  # Contextual simplify-reflections      : 9
% 0.13/0.39  # Paramodulations                      : 296
% 0.13/0.39  # Factorizations                       : 0
% 0.13/0.39  # NegExts                              : 0
% 0.13/0.39  # Equation resolutions                 : 42
% 0.13/0.39  # Disequality decompositions           : 0
% 0.13/0.39  # Total rewrite steps                  : 290
% 0.13/0.39  # ...of those cached                   : 259
% 0.13/0.39  # Propositional unsat checks           : 0
% 0.13/0.39  #    Propositional check models        : 0
% 0.13/0.39  #    Propositional check unsatisfiable : 0
% 0.13/0.39  #    Propositional clauses             : 0
% 0.13/0.39  #    Propositional clauses after purity: 0
% 0.13/0.39  #    Propositional unsat core size     : 0
% 0.13/0.39  #    Propositional preprocessing time  : 0.000
% 0.13/0.39  #    Propositional encoding time       : 0.000
% 0.13/0.39  #    Propositional solver time         : 0.000
% 0.13/0.39  #    Success case prop preproc time    : 0.000
% 0.13/0.39  #    Success case prop encoding time   : 0.000
% 0.13/0.39  #    Success case prop solver time     : 0.000
% 0.13/0.39  # Current number of processed clauses  : 168
% 0.13/0.39  #    Positive orientable unit clauses  : 54
% 0.13/0.39  #    Positive unorientable unit clauses: 0
% 0.13/0.39  #    Negative unit clauses             : 2
% 0.13/0.39  #    Non-unit-clauses                  : 112
% 0.13/0.39  # Current number of unprocessed clauses: 199
% 0.13/0.39  # ...number of literals in the above   : 977
% 0.13/0.39  # Current number of archived formulas  : 0
% 0.13/0.39  # Current number of archived clauses   : 159
% 0.13/0.39  # Clause-clause subsumption calls (NU) : 7881
% 0.13/0.39  # Rec. Clause-clause subsumption calls : 1398
% 0.13/0.39  # Non-unit clause-clause subsumptions  : 28
% 0.13/0.39  # Unit Clause-clause subsumption calls : 66
% 0.13/0.39  # Rewrite failures with RHS unbound    : 0
% 0.13/0.39  # BW rewrite match attempts            : 2
% 0.13/0.39  # BW rewrite match successes           : 2
% 0.13/0.39  # Condensation attempts                : 0
% 0.13/0.39  # Condensation successes               : 0
% 0.13/0.39  # Termbank termtop insertions          : 13302
% 0.13/0.39  # Search garbage collected termcells   : 610
% 0.13/0.39  
% 0.13/0.39  # -------------------------------------------------
% 0.13/0.39  # User time                : 0.025 s
% 0.13/0.39  # System time              : 0.002 s
% 0.13/0.39  # Total time               : 0.027 s
% 0.13/0.39  # Maximum resident set size: 2204 pages
% 0.13/0.39  
% 0.13/0.39  # -------------------------------------------------
% 0.13/0.39  # User time                : 0.027 s
% 0.13/0.39  # System time              : 0.003 s
% 0.13/0.39  # Total time               : 0.031 s
% 0.13/0.39  # Maximum resident set size: 1900 pages
% 0.13/0.39  % E---3.1 exiting
%------------------------------------------------------------------------------