TSTP Solution File: SYN202-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN202-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 20:29:34 EDT 2023

% Result   : Unsatisfiable 0.53s 0.55s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   38 (  19 unt;   0 nHn;  27 RR)
%            Number of literals    :   73 (   0 equ;  38 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   53 (  23 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_124,axiom,
    ( r1(X1)
    | ~ q0(X1,X2)
    | ~ s0(d)
    | ~ q1(d,X2,d) ),
    file('/export/starexec/sandbox2/tmp/tmp.RabmSccqvS/E---3.1_17708.p',rule_124) ).

cnf(axiom_1,axiom,
    s0(d),
    file('/export/starexec/sandbox2/tmp/tmp.RabmSccqvS/E---3.1_17708.p',axiom_1) ).

cnf(rule_110,axiom,
    ( q1(X1,X1,X1)
    | ~ m0(X2,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.RabmSccqvS/E---3.1_17708.p',rule_110) ).

cnf(axiom_19,axiom,
    m0(X1,d,X2),
    file('/export/starexec/sandbox2/tmp/tmp.RabmSccqvS/E---3.1_17708.p',axiom_19) ).

cnf(axiom_17,axiom,
    q0(X1,d),
    file('/export/starexec/sandbox2/tmp/tmp.RabmSccqvS/E---3.1_17708.p',axiom_17) ).

cnf(rule_085,axiom,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.RabmSccqvS/E---3.1_17708.p',rule_085) ).

cnf(axiom_14,axiom,
    p0(b,X1),
    file('/export/starexec/sandbox2/tmp/tmp.RabmSccqvS/E---3.1_17708.p',axiom_14) ).

cnf(rule_125,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.RabmSccqvS/E---3.1_17708.p',rule_125) ).

cnf(rule_187,axiom,
    ( q2(X1,X2,X1)
    | ~ r1(X2)
    | ~ m0(X3,X4,X1)
    | ~ k0(X2)
    | ~ q2(X2,X2,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.RabmSccqvS/E---3.1_17708.p',rule_187) ).

cnf(rule_181,axiom,
    ( q2(X1,X1,X1)
    | ~ p1(X1,X1,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.RabmSccqvS/E---3.1_17708.p',rule_181) ).

cnf(rule_189,axiom,
    ( s2(X1)
    | ~ q2(b,X1,b)
    | ~ s1(b) ),
    file('/export/starexec/sandbox2/tmp/tmp.RabmSccqvS/E---3.1_17708.p',rule_189) ).

cnf(prove_this,negated_conjecture,
    ~ s2(e),
    file('/export/starexec/sandbox2/tmp/tmp.RabmSccqvS/E---3.1_17708.p',prove_this) ).

cnf(axiom_28,axiom,
    k0(e),
    file('/export/starexec/sandbox2/tmp/tmp.RabmSccqvS/E---3.1_17708.p',axiom_28) ).

cnf(c_0_13,axiom,
    ( r1(X1)
    | ~ q0(X1,X2)
    | ~ s0(d)
    | ~ q1(d,X2,d) ),
    rule_124 ).

cnf(c_0_14,axiom,
    s0(d),
    axiom_1 ).

cnf(c_0_15,axiom,
    ( q1(X1,X1,X1)
    | ~ m0(X2,X3,X1) ),
    rule_110 ).

cnf(c_0_16,axiom,
    m0(X1,d,X2),
    axiom_19 ).

cnf(c_0_17,plain,
    ( r1(X1)
    | ~ q1(d,X2,d)
    | ~ q0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).

cnf(c_0_18,axiom,
    q0(X1,d),
    axiom_17 ).

cnf(c_0_19,plain,
    q1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,axiom,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    rule_085 ).

cnf(c_0_21,axiom,
    p0(b,X1),
    axiom_14 ).

cnf(c_0_22,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    rule_125 ).

cnf(c_0_23,axiom,
    ( q2(X1,X2,X1)
    | ~ r1(X2)
    | ~ m0(X3,X4,X1)
    | ~ k0(X2)
    | ~ q2(X2,X2,X2) ),
    rule_187 ).

cnf(c_0_24,plain,
    r1(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_25,axiom,
    ( q2(X1,X1,X1)
    | ~ p1(X1,X1,X1) ),
    rule_181 ).

cnf(c_0_26,plain,
    p1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_27,axiom,
    ( s2(X1)
    | ~ q2(b,X1,b)
    | ~ s1(b) ),
    rule_189 ).

cnf(c_0_28,plain,
    s1(b),
    inference(spm,[status(thm)],[c_0_22,c_0_21]) ).

cnf(c_0_29,plain,
    ( q2(X1,X2,X1)
    | ~ q2(X2,X2,X2)
    | ~ k0(X2)
    | ~ m0(X3,X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).

cnf(c_0_30,plain,
    q2(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).

cnf(c_0_31,negated_conjecture,
    ~ s2(e),
    prove_this ).

cnf(c_0_32,plain,
    ( s2(X1)
    | ~ q2(b,X1,b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]) ).

cnf(c_0_33,plain,
    ( q2(X1,X2,X1)
    | ~ k0(X2)
    | ~ m0(X3,X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).

cnf(c_0_34,negated_conjecture,
    ~ q2(b,e,b),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,plain,
    ( q2(X1,X2,X1)
    | ~ k0(X2) ),
    inference(spm,[status(thm)],[c_0_33,c_0_16]) ).

cnf(c_0_36,axiom,
    k0(e),
    axiom_28 ).

cnf(c_0_37,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN202-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 2400
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Mon Oct  2 18:28:37 EDT 2023
% 0.12/0.35  % CPUTime    : 
% 0.18/0.49  Running first-order model finding
% 0.18/0.49  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.RabmSccqvS/E---3.1_17708.p
% 0.53/0.55  # Version: 3.1pre001
% 0.53/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.53/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.53/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.53/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.53/0.55  # Starting sh5l with 300s (1) cores
% 0.53/0.55  # new_bool_3 with pid 17786 completed with status 0
% 0.53/0.55  # Result found by new_bool_3
% 0.53/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.53/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.53/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.53/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.53/0.55  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.53/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.53/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.53/0.55  # SAT001_MinMin_p005000_rr_RG with pid 17789 completed with status 0
% 0.53/0.55  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.53/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.53/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.53/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.53/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.53/0.55  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.53/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.53/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.53/0.55  # Preprocessing time       : 0.004 s
% 0.53/0.55  # Presaturation interreduction done
% 0.53/0.55  
% 0.53/0.55  # Proof found!
% 0.53/0.55  # SZS status Unsatisfiable
% 0.53/0.55  # SZS output start CNFRefutation
% See solution above
% 0.53/0.55  # Parsed axioms                        : 369
% 0.53/0.55  # Removed by relevancy pruning/SinE    : 41
% 0.53/0.55  # Initial clauses                      : 328
% 0.53/0.55  # Removed in clause preprocessing      : 5
% 0.53/0.55  # Initial clauses in saturation        : 323
% 0.53/0.55  # Processed clauses                    : 1044
% 0.53/0.55  # ...of these trivial                  : 68
% 0.53/0.55  # ...subsumed                          : 52
% 0.53/0.55  # ...remaining for further processing  : 924
% 0.53/0.55  # Other redundant clauses eliminated   : 0
% 0.53/0.55  # Clauses deleted for lack of memory   : 0
% 0.53/0.55  # Backward-subsumed                    : 42
% 0.53/0.55  # Backward-rewritten                   : 212
% 0.53/0.55  # Generated clauses                    : 1459
% 0.53/0.55  # ...of the previous two non-redundant : 906
% 0.53/0.55  # ...aggressively subsumed             : 0
% 0.53/0.55  # Contextual simplify-reflections      : 1
% 0.53/0.55  # Paramodulations                      : 1459
% 0.53/0.55  # Factorizations                       : 0
% 0.53/0.55  # NegExts                              : 0
% 0.53/0.55  # Equation resolutions                 : 0
% 0.53/0.55  # Total rewrite steps                  : 1158
% 0.53/0.55  # Propositional unsat checks           : 0
% 0.53/0.55  #    Propositional check models        : 0
% 0.53/0.55  #    Propositional check unsatisfiable : 0
% 0.53/0.55  #    Propositional clauses             : 0
% 0.53/0.55  #    Propositional clauses after purity: 0
% 0.53/0.55  #    Propositional unsat core size     : 0
% 0.53/0.55  #    Propositional preprocessing time  : 0.000
% 0.53/0.55  #    Propositional encoding time       : 0.000
% 0.53/0.55  #    Propositional solver time         : 0.000
% 0.53/0.55  #    Success case prop preproc time    : 0.000
% 0.53/0.55  #    Success case prop encoding time   : 0.000
% 0.53/0.55  #    Success case prop solver time     : 0.000
% 0.53/0.55  # Current number of processed clauses  : 382
% 0.53/0.55  #    Positive orientable unit clauses  : 171
% 0.53/0.55  #    Positive unorientable unit clauses: 0
% 0.53/0.55  #    Negative unit clauses             : 2
% 0.53/0.55  #    Non-unit-clauses                  : 209
% 0.53/0.55  # Current number of unprocessed clauses: 323
% 0.53/0.55  # ...number of literals in the above   : 880
% 0.53/0.55  # Current number of archived formulas  : 0
% 0.53/0.55  # Current number of archived clauses   : 542
% 0.53/0.55  # Clause-clause subsumption calls (NU) : 36934
% 0.53/0.55  # Rec. Clause-clause subsumption calls : 26126
% 0.53/0.55  # Non-unit clause-clause subsumptions  : 85
% 0.53/0.55  # Unit Clause-clause subsumption calls : 2201
% 0.53/0.55  # Rewrite failures with RHS unbound    : 0
% 0.53/0.55  # BW rewrite match attempts            : 475
% 0.53/0.55  # BW rewrite match successes           : 141
% 0.53/0.55  # Condensation attempts                : 0
% 0.53/0.55  # Condensation successes               : 0
% 0.53/0.55  # Termbank termtop insertions          : 24641
% 0.53/0.55  
% 0.53/0.55  # -------------------------------------------------
% 0.53/0.55  # User time                : 0.044 s
% 0.53/0.55  # System time              : 0.006 s
% 0.53/0.55  # Total time               : 0.050 s
% 0.53/0.55  # Maximum resident set size: 2476 pages
% 0.53/0.55  
% 0.53/0.55  # -------------------------------------------------
% 0.53/0.55  # User time                : 0.049 s
% 0.53/0.55  # System time              : 0.008 s
% 0.53/0.55  # Total time               : 0.058 s
% 0.53/0.55  # Maximum resident set size: 2000 pages
% 0.53/0.55  % E---3.1 exiting
%------------------------------------------------------------------------------