TSTP Solution File: SYN162-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN162-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 20:13:58 EDT 2023

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   44 (  19 unt;   0 nHn;  33 RR)
%            Number of literals    :   76 (   0 equ;  34 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   57 (  27 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_126,axiom,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',rule_126) ).

cnf(axiom_17,axiom,
    q0(X1,d),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',axiom_17) ).

cnf(rule_125,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',rule_125) ).

cnf(axiom_14,axiom,
    p0(b,X1),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',axiom_14) ).

cnf(rule_001,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',rule_001) ).

cnf(axiom_7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',axiom_7) ).

cnf(rule_085,axiom,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',rule_085) ).

cnf(rule_136,axiom,
    ( m2(b)
    | ~ k1(b) ),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',rule_136) ).

cnf(rule_137,axiom,
    ( n2(X1)
    | ~ p1(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',rule_137) ).

cnf(rule_316,axiom,
    ( n5(X1,X1)
    | ~ p4(X2,X1,X1)
    | ~ s1(X1)
    | ~ p4(b,b,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',rule_316) ).

cnf(rule_212,axiom,
    ( k3(X1,X1,X1)
    | ~ m2(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',rule_212) ).

cnf(rule_244,axiom,
    ( p3(X1,X1,X1)
    | ~ n2(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',rule_244) ).

cnf(rule_287,axiom,
    ( p4(X1,X2,X1)
    | ~ k3(X1,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',rule_287) ).

cnf(rule_291,axiom,
    ( p4(X1,X1,X1)
    | ~ p3(X2,X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',rule_291) ).

cnf(prove_this,negated_conjecture,
    ~ n5(c,c),
    file('/export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p',prove_this) ).

cnf(c_0_15,axiom,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    rule_126 ).

cnf(c_0_16,axiom,
    q0(X1,d),
    axiom_17 ).

cnf(c_0_17,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    rule_125 ).

cnf(c_0_18,axiom,
    p0(b,X1),
    axiom_14 ).

cnf(c_0_19,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    rule_001 ).

cnf(c_0_20,axiom,
    n0(d,b),
    axiom_7 ).

cnf(c_0_21,axiom,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    rule_085 ).

cnf(c_0_22,plain,
    ( s1(X1)
    | ~ s1(X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_23,plain,
    s1(b),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_24,axiom,
    ( m2(b)
    | ~ k1(b) ),
    rule_136 ).

cnf(c_0_25,plain,
    k1(b),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,axiom,
    ( n2(X1)
    | ~ p1(X2,X3,X1) ),
    rule_137 ).

cnf(c_0_27,plain,
    p1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_21,c_0_18]) ).

cnf(c_0_28,axiom,
    ( n5(X1,X1)
    | ~ p4(X2,X1,X1)
    | ~ s1(X1)
    | ~ p4(b,b,X3) ),
    rule_316 ).

cnf(c_0_29,plain,
    s1(X1),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_30,axiom,
    ( k3(X1,X1,X1)
    | ~ m2(X1) ),
    rule_212 ).

cnf(c_0_31,plain,
    m2(b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).

cnf(c_0_32,axiom,
    ( p3(X1,X1,X1)
    | ~ n2(X1) ),
    rule_244 ).

cnf(c_0_33,plain,
    n2(X1),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_34,plain,
    ( n5(X1,X1)
    | ~ p4(b,b,X2)
    | ~ p4(X3,X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).

cnf(c_0_35,axiom,
    ( p4(X1,X2,X1)
    | ~ k3(X1,X1,X2) ),
    rule_287 ).

cnf(c_0_36,plain,
    k3(b,b,b),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_37,axiom,
    ( p4(X1,X1,X1)
    | ~ p3(X2,X2,X1) ),
    rule_291 ).

cnf(c_0_38,plain,
    p3(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).

cnf(c_0_39,plain,
    ( n5(X1,X1)
    | ~ p4(X2,X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).

cnf(c_0_40,plain,
    p4(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    ~ n5(c,c),
    prove_this ).

cnf(c_0_42,plain,
    n5(X1,X1),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : SYN162-1 : TPTP v8.1.2. Released v1.1.0.
% 0.10/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n031.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   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 18:48:28 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.LRQUwaErOc/E---3.1_19150.p
% 0.20/0.54  # Version: 3.1pre001
% 0.20/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.54  # Starting sh5l with 300s (1) cores
% 0.20/0.54  # new_bool_1 with pid 19230 completed with status 0
% 0.20/0.54  # Result found by new_bool_1
% 0.20/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.54  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.20/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.54  # SAT001_MinMin_p005000_rr_RG with pid 19232 completed with status 0
% 0.20/0.54  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.54  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.20/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.54  # Preprocessing time       : 0.003 s
% 0.20/0.54  # Presaturation interreduction done
% 0.20/0.54  
% 0.20/0.54  # Proof found!
% 0.20/0.54  # SZS status Unsatisfiable
% 0.20/0.54  # SZS output start CNFRefutation
% See solution above
% 0.20/0.54  # Parsed axioms                        : 369
% 0.20/0.54  # Removed by relevancy pruning/SinE    : 32
% 0.20/0.54  # Initial clauses                      : 337
% 0.20/0.54  # Removed in clause preprocessing      : 6
% 0.20/0.54  # Initial clauses in saturation        : 331
% 0.20/0.54  # Processed clauses                    : 915
% 0.20/0.54  # ...of these trivial                  : 61
% 0.20/0.54  # ...subsumed                          : 33
% 0.20/0.54  # ...remaining for further processing  : 821
% 0.20/0.54  # Other redundant clauses eliminated   : 0
% 0.20/0.54  # Clauses deleted for lack of memory   : 0
% 0.20/0.54  # Backward-subsumed                    : 41
% 0.20/0.54  # Backward-rewritten                   : 213
% 0.20/0.54  # Generated clauses                    : 1005
% 0.20/0.54  # ...of the previous two non-redundant : 735
% 0.20/0.54  # ...aggressively subsumed             : 0
% 0.20/0.54  # Contextual simplify-reflections      : 2
% 0.20/0.54  # Paramodulations                      : 1005
% 0.20/0.54  # Factorizations                       : 0
% 0.20/0.54  # NegExts                              : 0
% 0.20/0.54  # Equation resolutions                 : 0
% 0.20/0.54  # Total rewrite steps                  : 761
% 0.20/0.54  # Propositional unsat checks           : 0
% 0.20/0.54  #    Propositional check models        : 0
% 0.20/0.54  #    Propositional check unsatisfiable : 0
% 0.20/0.54  #    Propositional clauses             : 0
% 0.20/0.54  #    Propositional clauses after purity: 0
% 0.20/0.54  #    Propositional unsat core size     : 0
% 0.20/0.54  #    Propositional preprocessing time  : 0.000
% 0.20/0.54  #    Propositional encoding time       : 0.000
% 0.20/0.54  #    Propositional solver time         : 0.000
% 0.20/0.54  #    Success case prop preproc time    : 0.000
% 0.20/0.54  #    Success case prop encoding time   : 0.000
% 0.20/0.54  #    Success case prop solver time     : 0.000
% 0.20/0.54  # Current number of processed clauses  : 269
% 0.20/0.54  #    Positive orientable unit clauses  : 106
% 0.20/0.54  #    Positive unorientable unit clauses: 0
% 0.20/0.54  #    Negative unit clauses             : 3
% 0.20/0.54  #    Non-unit-clauses                  : 160
% 0.20/0.54  # Current number of unprocessed clauses: 373
% 0.20/0.54  # ...number of literals in the above   : 1014
% 0.20/0.54  # Current number of archived formulas  : 0
% 0.20/0.54  # Current number of archived clauses   : 552
% 0.20/0.54  # Clause-clause subsumption calls (NU) : 42222
% 0.20/0.54  # Rec. Clause-clause subsumption calls : 29325
% 0.20/0.54  # Non-unit clause-clause subsumptions  : 59
% 0.20/0.54  # Unit Clause-clause subsumption calls : 2708
% 0.20/0.54  # Rewrite failures with RHS unbound    : 0
% 0.20/0.54  # BW rewrite match attempts            : 366
% 0.20/0.54  # BW rewrite match successes           : 140
% 0.20/0.54  # Condensation attempts                : 0
% 0.20/0.54  # Condensation successes               : 0
% 0.20/0.54  # Termbank termtop insertions          : 20221
% 0.20/0.54  
% 0.20/0.54  # -------------------------------------------------
% 0.20/0.54  # User time                : 0.040 s
% 0.20/0.54  # System time              : 0.006 s
% 0.20/0.54  # Total time               : 0.046 s
% 0.20/0.54  # Maximum resident set size: 2596 pages
% 0.20/0.54  
% 0.20/0.54  # -------------------------------------------------
% 0.20/0.54  # User time                : 0.045 s
% 0.20/0.54  # System time              : 0.009 s
% 0.20/0.54  # Total time               : 0.054 s
% 0.20/0.54  # Maximum resident set size: 1996 pages
% 0.20/0.54  % E---3.1 exiting
% 0.20/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------