TSTP Solution File: SYN162-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN162-1 : TPTP v8.2.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 07:43:36 EDT 2024

% Result   : Unsatisfiable 0.16s 0.49s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   56 (  20 unt;   0 nHn;  45 RR)
%            Number of literals    :  102 (   0 equ;  49 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   :   77 (  35 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_126,axiom,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).

cnf(rule_125,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).

cnf(rule_001,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).

cnf(rule_085,axiom,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).

cnf(axiom_17,axiom,
    q0(X1,d),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).

cnf(axiom_14,axiom,
    p0(b,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(rule_136,axiom,
    ( m2(b)
    | ~ k1(b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).

cnf(axiom_7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).

cnf(rule_137,axiom,
    ( n2(X1)
    | ~ p1(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).

cnf(rule_316,axiom,
    ( n5(X1,X1)
    | ~ p4(X2,X1,X1)
    | ~ s1(X1)
    | ~ p4(b,b,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_316) ).

cnf(rule_212,axiom,
    ( k3(X1,X1,X1)
    | ~ m2(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_212) ).

cnf(rule_244,axiom,
    ( p3(X1,X1,X1)
    | ~ n2(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).

cnf(rule_287,axiom,
    ( p4(X1,X2,X1)
    | ~ k3(X1,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_287) ).

cnf(rule_291,axiom,
    ( p4(X1,X1,X1)
    | ~ p3(X2,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_291) ).

cnf(prove_this,negated_conjecture,
    ~ n5(c,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(c_0_15,plain,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    inference(fof_simplification,[status(thm)],[rule_126]) ).

cnf(c_0_16,plain,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_125]) ).

cnf(c_0_17,plain,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_001]) ).

cnf(c_0_18,plain,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_085]) ).

cnf(c_0_19,plain,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    c_0_15 ).

cnf(c_0_20,axiom,
    q0(X1,d),
    axiom_17 ).

cnf(c_0_21,plain,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    c_0_16 ).

cnf(c_0_22,axiom,
    p0(b,X1),
    axiom_14 ).

cnf(c_0_23,plain,
    ( m2(b)
    | ~ k1(b) ),
    inference(fof_simplification,[status(thm)],[rule_136]) ).

cnf(c_0_24,plain,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    c_0_17 ).

cnf(c_0_25,axiom,
    n0(d,b),
    axiom_7 ).

cnf(c_0_26,plain,
    ( n2(X1)
    | ~ p1(X2,X3,X1) ),
    inference(fof_simplification,[status(thm)],[rule_137]) ).

cnf(c_0_27,plain,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    c_0_18 ).

cnf(c_0_28,plain,
    ( n5(X1,X1)
    | ~ p4(X2,X1,X1)
    | ~ s1(X1)
    | ~ p4(b,b,X3) ),
    inference(fof_simplification,[status(thm)],[rule_316]) ).

cnf(c_0_29,plain,
    ( s1(X1)
    | ~ s1(X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_30,plain,
    s1(b),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_31,plain,
    ( k3(X1,X1,X1)
    | ~ m2(X1) ),
    inference(fof_simplification,[status(thm)],[rule_212]) ).

cnf(c_0_32,plain,
    ( m2(b)
    | ~ k1(b) ),
    c_0_23 ).

cnf(c_0_33,plain,
    k1(b),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_34,plain,
    ( p3(X1,X1,X1)
    | ~ n2(X1) ),
    inference(fof_simplification,[status(thm)],[rule_244]) ).

cnf(c_0_35,plain,
    ( n2(X1)
    | ~ p1(X2,X3,X1) ),
    c_0_26 ).

cnf(c_0_36,plain,
    p1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_27,c_0_22]) ).

cnf(c_0_37,plain,
    ( n5(X1,X1)
    | ~ p4(X2,X1,X1)
    | ~ s1(X1)
    | ~ p4(b,b,X3) ),
    c_0_28 ).

cnf(c_0_38,plain,
    s1(X1),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_39,plain,
    ( p4(X1,X2,X1)
    | ~ k3(X1,X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_287]) ).

cnf(c_0_40,plain,
    ( k3(X1,X1,X1)
    | ~ m2(X1) ),
    c_0_31 ).

cnf(c_0_41,plain,
    m2(b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).

cnf(c_0_42,plain,
    ( p4(X1,X1,X1)
    | ~ p3(X2,X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_291]) ).

cnf(c_0_43,plain,
    ( p3(X1,X1,X1)
    | ~ n2(X1) ),
    c_0_34 ).

cnf(c_0_44,plain,
    n2(X1),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_45,plain,
    ( n5(X1,X1)
    | ~ p4(b,b,X2)
    | ~ p4(X3,X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]) ).

cnf(c_0_46,plain,
    ( p4(X1,X2,X1)
    | ~ k3(X1,X1,X2) ),
    c_0_39 ).

cnf(c_0_47,plain,
    k3(b,b,b),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_48,plain,
    ( p4(X1,X1,X1)
    | ~ p3(X2,X2,X1) ),
    c_0_42 ).

cnf(c_0_49,plain,
    p3(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).

cnf(c_0_50,negated_conjecture,
    ~ n5(c,c),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_51,plain,
    ( n5(X1,X1)
    | ~ p4(X2,X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).

cnf(c_0_52,plain,
    p4(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    ~ n5(c,c),
    c_0_50 ).

cnf(c_0_54,plain,
    n5(X1,X1),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_55,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SYN162-1 : TPTP v8.2.0. Released v1.1.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n003.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   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon May 20 14:25:37 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  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/benchmark/theBenchmark.p
% 0.16/0.49  # Version: 3.1.0
% 0.16/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.49  # Starting sh5l with 300s (1) cores
% 0.16/0.49  # new_bool_1 with pid 29800 completed with status 0
% 0.16/0.49  # Result found by new_bool_1
% 0.16/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.49  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.16/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.49  # SAT001_MinMin_p005000_rr_RG with pid 29809 completed with status 0
% 0.16/0.49  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.49  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.16/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.49  # Preprocessing time       : 0.003 s
% 0.16/0.49  # Presaturation interreduction done
% 0.16/0.49  
% 0.16/0.49  # Proof found!
% 0.16/0.49  # SZS status Unsatisfiable
% 0.16/0.49  # SZS output start CNFRefutation
% See solution above
% 0.16/0.49  # Parsed axioms                        : 369
% 0.16/0.49  # Removed by relevancy pruning/SinE    : 32
% 0.16/0.49  # Initial clauses                      : 337
% 0.16/0.49  # Removed in clause preprocessing      : 6
% 0.16/0.49  # Initial clauses in saturation        : 331
% 0.16/0.49  # Processed clauses                    : 915
% 0.16/0.49  # ...of these trivial                  : 61
% 0.16/0.49  # ...subsumed                          : 33
% 0.16/0.49  # ...remaining for further processing  : 821
% 0.16/0.49  # Other redundant clauses eliminated   : 0
% 0.16/0.49  # Clauses deleted for lack of memory   : 0
% 0.16/0.49  # Backward-subsumed                    : 41
% 0.16/0.49  # Backward-rewritten                   : 213
% 0.16/0.49  # Generated clauses                    : 1005
% 0.16/0.49  # ...of the previous two non-redundant : 735
% 0.16/0.49  # ...aggressively subsumed             : 0
% 0.16/0.49  # Contextual simplify-reflections      : 2
% 0.16/0.49  # Paramodulations                      : 1005
% 0.16/0.49  # Factorizations                       : 0
% 0.16/0.49  # NegExts                              : 0
% 0.16/0.49  # Equation resolutions                 : 0
% 0.16/0.49  # Disequality decompositions           : 0
% 0.16/0.49  # Total rewrite steps                  : 761
% 0.16/0.49  # ...of those cached                   : 526
% 0.16/0.49  # Propositional unsat checks           : 0
% 0.16/0.49  #    Propositional check models        : 0
% 0.16/0.49  #    Propositional check unsatisfiable : 0
% 0.16/0.49  #    Propositional clauses             : 0
% 0.16/0.49  #    Propositional clauses after purity: 0
% 0.16/0.49  #    Propositional unsat core size     : 0
% 0.16/0.49  #    Propositional preprocessing time  : 0.000
% 0.16/0.49  #    Propositional encoding time       : 0.000
% 0.16/0.49  #    Propositional solver time         : 0.000
% 0.16/0.49  #    Success case prop preproc time    : 0.000
% 0.16/0.49  #    Success case prop encoding time   : 0.000
% 0.16/0.49  #    Success case prop solver time     : 0.000
% 0.16/0.49  # Current number of processed clauses  : 269
% 0.16/0.49  #    Positive orientable unit clauses  : 106
% 0.16/0.49  #    Positive unorientable unit clauses: 0
% 0.16/0.49  #    Negative unit clauses             : 3
% 0.16/0.49  #    Non-unit-clauses                  : 160
% 0.16/0.49  # Current number of unprocessed clauses: 373
% 0.16/0.49  # ...number of literals in the above   : 1014
% 0.16/0.49  # Current number of archived formulas  : 0
% 0.16/0.49  # Current number of archived clauses   : 552
% 0.16/0.49  # Clause-clause subsumption calls (NU) : 42222
% 0.16/0.49  # Rec. Clause-clause subsumption calls : 29325
% 0.16/0.49  # Non-unit clause-clause subsumptions  : 59
% 0.16/0.49  # Unit Clause-clause subsumption calls : 2708
% 0.16/0.49  # Rewrite failures with RHS unbound    : 0
% 0.16/0.49  # BW rewrite match attempts            : 366
% 0.16/0.49  # BW rewrite match successes           : 140
% 0.16/0.49  # Condensation attempts                : 0
% 0.16/0.49  # Condensation successes               : 0
% 0.16/0.49  # Termbank termtop insertions          : 23374
% 0.16/0.49  # Search garbage collected termcells   : 1503
% 0.16/0.49  
% 0.16/0.49  # -------------------------------------------------
% 0.16/0.49  # User time                : 0.038 s
% 0.16/0.49  # System time              : 0.007 s
% 0.16/0.49  # Total time               : 0.045 s
% 0.16/0.49  # Maximum resident set size: 2620 pages
% 0.16/0.49  
% 0.16/0.49  # -------------------------------------------------
% 0.16/0.49  # User time                : 0.041 s
% 0.16/0.49  # System time              : 0.009 s
% 0.16/0.49  # Total time               : 0.050 s
% 0.16/0.49  # Maximum resident set size: 2016 pages
% 0.16/0.49  % E---3.1 exiting
% 0.16/0.49  % E exiting
%------------------------------------------------------------------------------