TSTP Solution File: SYN111-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN111-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:29:18 EDT 2023

% Result   : Unsatisfiable 0.15s 0.47s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   27 (  15 unt;   0 nHn;  23 RR)
%            Number of literals    :   47 (   0 equ;  23 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   30 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_021,axiom,
    ( m1(X1,X2,X1)
    | ~ l0(X1)
    | ~ k0(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ZwTRPCAJNm/E---3.1_13394.p',rule_021) ).

cnf(axiom_32,axiom,
    k0(b),
    file('/export/starexec/sandbox/tmp/tmp.ZwTRPCAJNm/E---3.1_13394.p',axiom_32) ).

cnf(axiom_24,axiom,
    l0(c),
    file('/export/starexec/sandbox/tmp/tmp.ZwTRPCAJNm/E---3.1_13394.p',axiom_24) ).

cnf(rule_107,axiom,
    ( q1(e,X1,X1)
    | ~ m0(X1,d,X1)
    | ~ m0(e,d,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ZwTRPCAJNm/E---3.1_13394.p',rule_107) ).

cnf(axiom_19,axiom,
    m0(X1,d,X2),
    file('/export/starexec/sandbox/tmp/tmp.ZwTRPCAJNm/E---3.1_13394.p',axiom_19) ).

cnf(rule_127,axiom,
    ( k2(X1,X2)
    | ~ m1(X3,X2,X1)
    | ~ k1(X4)
    | ~ k2(X4,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ZwTRPCAJNm/E---3.1_13394.p',rule_127) ).

cnf(prove_this,negated_conjecture,
    ~ k2(c,b),
    file('/export/starexec/sandbox/tmp/tmp.ZwTRPCAJNm/E---3.1_13394.p',prove_this) ).

cnf(rule_129,axiom,
    ( k2(X1,X1)
    | ~ q1(X2,X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ZwTRPCAJNm/E---3.1_13394.p',rule_129) ).

cnf(rule_001,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ZwTRPCAJNm/E---3.1_13394.p',rule_001) ).

cnf(axiom_7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox/tmp/tmp.ZwTRPCAJNm/E---3.1_13394.p',axiom_7) ).

cnf(c_0_10,axiom,
    ( m1(X1,X2,X1)
    | ~ l0(X1)
    | ~ k0(X2) ),
    rule_021 ).

cnf(c_0_11,axiom,
    k0(b),
    axiom_32 ).

cnf(c_0_12,plain,
    ( m1(X1,b,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,axiom,
    l0(c),
    axiom_24 ).

cnf(c_0_14,axiom,
    ( q1(e,X1,X1)
    | ~ m0(X1,d,X1)
    | ~ m0(e,d,X1) ),
    rule_107 ).

cnf(c_0_15,axiom,
    m0(X1,d,X2),
    axiom_19 ).

cnf(c_0_16,axiom,
    ( k2(X1,X2)
    | ~ m1(X3,X2,X1)
    | ~ k1(X4)
    | ~ k2(X4,X2) ),
    rule_127 ).

cnf(c_0_17,plain,
    m1(c,b,c),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    ~ k2(c,b),
    prove_this ).

cnf(c_0_19,axiom,
    ( k2(X1,X1)
    | ~ q1(X2,X1,X1) ),
    rule_129 ).

cnf(c_0_20,plain,
    q1(e,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_15])]) ).

cnf(c_0_21,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    rule_001 ).

cnf(c_0_22,axiom,
    n0(d,b),
    axiom_7 ).

cnf(c_0_23,plain,
    ( ~ k2(X1,b)
    | ~ k1(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_24,plain,
    k2(X1,X1),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,plain,
    k1(b),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN111-1 : TPTP v8.1.2. Released v1.1.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Oct  2 18:24:04 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  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.ZwTRPCAJNm/E---3.1_13394.p
% 0.15/0.47  # Version: 3.1pre001
% 0.15/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.47  # Starting sh5l with 300s (1) cores
% 0.15/0.47  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 13475 completed with status 0
% 0.15/0.47  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.15/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.47  # No SInE strategy applied
% 0.15/0.47  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.15/0.47  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.15/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/0.47  # Starting new_bool_3 with 136s (1) cores
% 0.15/0.47  # Starting new_bool_1 with 136s (1) cores
% 0.15/0.47  # Starting sh5l with 136s (1) cores
% 0.15/0.47  # SAT001_MinMin_p005000_rr_RG with pid 13479 completed with status 0
% 0.15/0.47  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.15/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.47  # No SInE strategy applied
% 0.15/0.47  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.15/0.47  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.15/0.47  # Preprocessing time       : 0.003 s
% 0.15/0.47  # Presaturation interreduction done
% 0.15/0.47  
% 0.15/0.47  # Proof found!
% 0.15/0.47  # SZS status Unsatisfiable
% 0.15/0.47  # SZS output start CNFRefutation
% See solution above
% 0.15/0.47  # Parsed axioms                        : 369
% 0.15/0.47  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.47  # Initial clauses                      : 369
% 0.15/0.47  # Removed in clause preprocessing      : 7
% 0.15/0.47  # Initial clauses in saturation        : 362
% 0.15/0.47  # Processed clauses                    : 759
% 0.15/0.47  # ...of these trivial                  : 25
% 0.15/0.47  # ...subsumed                          : 28
% 0.15/0.47  # ...remaining for further processing  : 706
% 0.15/0.47  # Other redundant clauses eliminated   : 0
% 0.15/0.47  # Clauses deleted for lack of memory   : 0
% 0.15/0.47  # Backward-subsumed                    : 14
% 0.15/0.47  # Backward-rewritten                   : 55
% 0.15/0.47  # Generated clauses                    : 478
% 0.15/0.47  # ...of the previous two non-redundant : 341
% 0.15/0.47  # ...aggressively subsumed             : 0
% 0.15/0.47  # Contextual simplify-reflections      : 2
% 0.15/0.47  # Paramodulations                      : 478
% 0.15/0.47  # Factorizations                       : 0
% 0.15/0.47  # NegExts                              : 0
% 0.15/0.47  # Equation resolutions                 : 0
% 0.15/0.47  # Total rewrite steps                  : 349
% 0.15/0.47  # Propositional unsat checks           : 0
% 0.15/0.47  #    Propositional check models        : 0
% 0.15/0.47  #    Propositional check unsatisfiable : 0
% 0.15/0.47  #    Propositional clauses             : 0
% 0.15/0.47  #    Propositional clauses after purity: 0
% 0.15/0.47  #    Propositional unsat core size     : 0
% 0.15/0.47  #    Propositional preprocessing time  : 0.000
% 0.15/0.47  #    Propositional encoding time       : 0.000
% 0.15/0.47  #    Propositional solver time         : 0.000
% 0.15/0.47  #    Success case prop preproc time    : 0.000
% 0.15/0.47  #    Success case prop encoding time   : 0.000
% 0.15/0.47  #    Success case prop solver time     : 0.000
% 0.15/0.47  # Current number of processed clauses  : 310
% 0.15/0.47  #    Positive orientable unit clauses  : 115
% 0.15/0.47  #    Positive unorientable unit clauses: 0
% 0.15/0.47  #    Negative unit clauses             : 1
% 0.15/0.47  #    Non-unit-clauses                  : 194
% 0.15/0.47  # Current number of unprocessed clauses: 258
% 0.15/0.47  # ...number of literals in the above   : 671
% 0.15/0.47  # Current number of archived formulas  : 0
% 0.15/0.47  # Current number of archived clauses   : 396
% 0.15/0.47  # Clause-clause subsumption calls (NU) : 34004
% 0.15/0.47  # Rec. Clause-clause subsumption calls : 24407
% 0.15/0.47  # Non-unit clause-clause subsumptions  : 35
% 0.15/0.47  # Unit Clause-clause subsumption calls : 489
% 0.15/0.47  # Rewrite failures with RHS unbound    : 0
% 0.15/0.47  # BW rewrite match attempts            : 77
% 0.15/0.47  # BW rewrite match successes           : 46
% 0.15/0.47  # Condensation attempts                : 0
% 0.15/0.47  # Condensation successes               : 0
% 0.15/0.47  # Termbank termtop insertions          : 14494
% 0.15/0.47  
% 0.15/0.47  # -------------------------------------------------
% 0.15/0.47  # User time                : 0.033 s
% 0.15/0.47  # System time              : 0.006 s
% 0.15/0.47  # Total time               : 0.039 s
% 0.15/0.47  # Maximum resident set size: 2488 pages
% 0.15/0.47  
% 0.15/0.47  # -------------------------------------------------
% 0.15/0.47  # User time                : 0.165 s
% 0.15/0.47  # System time              : 0.012 s
% 0.15/0.47  # Total time               : 0.177 s
% 0.15/0.47  # Maximum resident set size: 2000 pages
% 0.15/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------