TSTP Solution File: SYN144-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN144-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 20:29:24 EDT 2023

% Result   : Unsatisfiable 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   33 (  17 unt;   0 nHn;  33 RR)
%            Number of literals    :   57 (   0 equ;  26 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   36 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_021,axiom,
    ( m1(X1,X2,X1)
    | ~ l0(X1)
    | ~ k0(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.Ka7djZfO8e/E---3.1_10979.p',rule_021) ).

cnf(axiom_28,axiom,
    k0(e),
    file('/export/starexec/sandbox/tmp/tmp.Ka7djZfO8e/E---3.1_10979.p',axiom_28) ).

cnf(axiom_20,axiom,
    l0(a),
    file('/export/starexec/sandbox/tmp/tmp.Ka7djZfO8e/E---3.1_10979.p',axiom_20) ).

cnf(rule_176,axiom,
    ( p2(X1,X2,X1)
    | ~ m1(X2,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.Ka7djZfO8e/E---3.1_10979.p',rule_176) ).

cnf(rule_155,axiom,
    ( p2(X1,X2,X2)
    | ~ k1(X3)
    | ~ p2(e,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.Ka7djZfO8e/E---3.1_10979.p',rule_155) ).

cnf(rule_001,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Ka7djZfO8e/E---3.1_10979.p',rule_001) ).

cnf(axiom_26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox/tmp/tmp.Ka7djZfO8e/E---3.1_10979.p',axiom_26) ).

cnf(rule_267,axiom,
    ( r3(X1,X2,X1)
    | ~ p2(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.Ka7djZfO8e/E---3.1_10979.p',rule_267) ).

cnf(rule_285,axiom,
    ( p4(X1,X1,X2)
    | ~ r0(X1)
    | ~ r3(X2,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.Ka7djZfO8e/E---3.1_10979.p',rule_285) ).

cnf(axiom_13,axiom,
    r0(e),
    file('/export/starexec/sandbox/tmp/tmp.Ka7djZfO8e/E---3.1_10979.p',axiom_13) ).

cnf(rule_303,axiom,
    ( m5(X1,X2)
    | ~ r0(X1)
    | ~ p4(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.Ka7djZfO8e/E---3.1_10979.p',rule_303) ).

cnf(prove_this,negated_conjecture,
    ~ m5(e,a),
    file('/export/starexec/sandbox/tmp/tmp.Ka7djZfO8e/E---3.1_10979.p',prove_this) ).

cnf(c_0_12,axiom,
    ( m1(X1,X2,X1)
    | ~ l0(X1)
    | ~ k0(X2) ),
    rule_021 ).

cnf(c_0_13,axiom,
    k0(e),
    axiom_28 ).

cnf(c_0_14,plain,
    ( m1(X1,e,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,axiom,
    l0(a),
    axiom_20 ).

cnf(c_0_16,axiom,
    ( p2(X1,X2,X1)
    | ~ m1(X2,X1,X2) ),
    rule_176 ).

cnf(c_0_17,plain,
    m1(a,e,a),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,axiom,
    ( p2(X1,X2,X2)
    | ~ k1(X3)
    | ~ p2(e,X1,X2) ),
    rule_155 ).

cnf(c_0_19,plain,
    p2(e,a,e),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    rule_001 ).

cnf(c_0_21,axiom,
    n0(d,c),
    axiom_26 ).

cnf(c_0_22,plain,
    ( p2(a,e,e)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_23,plain,
    k1(c),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_24,axiom,
    ( r3(X1,X2,X1)
    | ~ p2(X1,X3,X2) ),
    rule_267 ).

cnf(c_0_25,plain,
    p2(a,e,e),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,axiom,
    ( p4(X1,X1,X2)
    | ~ r0(X1)
    | ~ r3(X2,X1,X2) ),
    rule_285 ).

cnf(c_0_27,plain,
    r3(a,e,a),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,axiom,
    r0(e),
    axiom_13 ).

cnf(c_0_29,axiom,
    ( m5(X1,X2)
    | ~ r0(X1)
    | ~ p4(X1,X3,X2) ),
    rule_303 ).

cnf(c_0_30,plain,
    p4(e,e,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).

cnf(c_0_31,negated_conjecture,
    ~ m5(e,a),
    prove_this ).

cnf(c_0_32,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_28])]),c_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN144-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 2400
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Oct  2 18:10:59 EDT 2023
% 0.14/0.36  % 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/tmp/tmp.Ka7djZfO8e/E---3.1_10979.p
% 0.20/0.59  # Version: 3.1pre001
% 0.20/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.59  # Starting sh5l with 300s (1) cores
% 0.20/0.59  # new_bool_3 with pid 11057 completed with status 0
% 0.20/0.59  # Result found by new_bool_3
% 0.20/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.59  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.20/0.59  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.59  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.59  # SAT001_MinMin_p005000_rr_RG with pid 11065 completed with status 0
% 0.20/0.59  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.59  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.20/0.59  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.59  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.59  # Preprocessing time       : 0.004 s
% 0.20/0.59  # Presaturation interreduction done
% 0.20/0.59  
% 0.20/0.59  # Proof found!
% 0.20/0.59  # SZS status Unsatisfiable
% 0.20/0.59  # SZS output start CNFRefutation
% See solution above
% 0.20/0.59  # Parsed axioms                        : 369
% 0.20/0.59  # Removed by relevancy pruning/SinE    : 55
% 0.20/0.59  # Initial clauses                      : 314
% 0.20/0.59  # Removed in clause preprocessing      : 7
% 0.20/0.59  # Initial clauses in saturation        : 307
% 0.20/0.59  # Processed clauses                    : 674
% 0.20/0.59  # ...of these trivial                  : 28
% 0.20/0.59  # ...subsumed                          : 21
% 0.20/0.59  # ...remaining for further processing  : 625
% 0.20/0.59  # Other redundant clauses eliminated   : 0
% 0.20/0.59  # Clauses deleted for lack of memory   : 0
% 0.20/0.59  # Backward-subsumed                    : 5
% 0.20/0.59  # Backward-rewritten                   : 44
% 0.20/0.59  # Generated clauses                    : 506
% 0.20/0.59  # ...of the previous two non-redundant : 317
% 0.20/0.59  # ...aggressively subsumed             : 0
% 0.20/0.59  # Contextual simplify-reflections      : 2
% 0.20/0.59  # Paramodulations                      : 506
% 0.20/0.59  # Factorizations                       : 0
% 0.20/0.59  # NegExts                              : 0
% 0.20/0.59  # Equation resolutions                 : 0
% 0.20/0.59  # Total rewrite steps                  : 397
% 0.20/0.59  # Propositional unsat checks           : 0
% 0.20/0.59  #    Propositional check models        : 0
% 0.20/0.59  #    Propositional check unsatisfiable : 0
% 0.20/0.59  #    Propositional clauses             : 0
% 0.20/0.59  #    Propositional clauses after purity: 0
% 0.20/0.59  #    Propositional unsat core size     : 0
% 0.20/0.59  #    Propositional preprocessing time  : 0.000
% 0.20/0.59  #    Propositional encoding time       : 0.000
% 0.20/0.59  #    Propositional solver time         : 0.000
% 0.20/0.59  #    Success case prop preproc time    : 0.000
% 0.20/0.59  #    Success case prop encoding time   : 0.000
% 0.20/0.59  #    Success case prop solver time     : 0.000
% 0.20/0.59  # Current number of processed clauses  : 301
% 0.20/0.59  #    Positive orientable unit clauses  : 117
% 0.20/0.59  #    Positive unorientable unit clauses: 0
% 0.20/0.59  #    Negative unit clauses             : 1
% 0.20/0.59  #    Non-unit-clauses                  : 183
% 0.20/0.59  # Current number of unprocessed clauses: 213
% 0.20/0.59  # ...number of literals in the above   : 532
% 0.20/0.59  # Current number of archived formulas  : 0
% 0.20/0.59  # Current number of archived clauses   : 324
% 0.20/0.59  # Clause-clause subsumption calls (NU) : 25144
% 0.20/0.59  # Rec. Clause-clause subsumption calls : 18841
% 0.20/0.59  # Non-unit clause-clause subsumptions  : 27
% 0.20/0.59  # Unit Clause-clause subsumption calls : 165
% 0.20/0.59  # Rewrite failures with RHS unbound    : 0
% 0.20/0.59  # BW rewrite match attempts            : 59
% 0.20/0.59  # BW rewrite match successes           : 34
% 0.20/0.59  # Condensation attempts                : 0
% 0.20/0.59  # Condensation successes               : 0
% 0.20/0.59  # Termbank termtop insertions          : 13868
% 0.20/0.59  
% 0.20/0.59  # -------------------------------------------------
% 0.20/0.59  # User time                : 0.038 s
% 0.20/0.59  # System time              : 0.009 s
% 0.20/0.59  # Total time               : 0.047 s
% 0.20/0.59  # Maximum resident set size: 2448 pages
% 0.20/0.59  
% 0.20/0.59  # -------------------------------------------------
% 0.20/0.59  # User time                : 0.044 s
% 0.20/0.59  # System time              : 0.011 s
% 0.20/0.59  # Total time               : 0.055 s
% 0.20/0.59  # Maximum resident set size: 2000 pages
% 0.20/0.59  % E---3.1 exiting
%------------------------------------------------------------------------------