TSTP Solution File: SYN268-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN268-1 : TPTP v8.2.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 07:43:58 EDT 2024

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   28 (  13 unt;   0 nHn;  28 RR)
%            Number of literals    :   46 (   0 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   25 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_088,axiom,
    ( p1(a,a,a)
    | ~ l0(a) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_088) ).

cnf(rule_087,axiom,
    ( p1(a,b,a)
    | ~ r0(b)
    | ~ p1(a,a,a) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_087) ).

cnf(axiom_20,axiom,
    l0(a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).

cnf(rule_137,axiom,
    ( n2(X1)
    | ~ p1(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).

cnf(axiom_9,axiom,
    r0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).

cnf(rule_210,axiom,
    ( k3(X1,X1,X1)
    | ~ n2(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_210) ).

cnf(prove_this,negated_conjecture,
    ~ p4(a,X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(rule_287,axiom,
    ( p4(X1,X2,X1)
    | ~ k3(X1,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_287) ).

cnf(c_0_8,plain,
    ( p1(a,a,a)
    | ~ l0(a) ),
    inference(fof_simplification,[status(thm)],[rule_088]) ).

cnf(c_0_9,plain,
    ( p1(a,b,a)
    | ~ r0(b)
    | ~ p1(a,a,a) ),
    inference(fof_simplification,[status(thm)],[rule_087]) ).

cnf(c_0_10,plain,
    ( p1(a,a,a)
    | ~ l0(a) ),
    c_0_8 ).

cnf(c_0_11,axiom,
    l0(a),
    axiom_20 ).

cnf(c_0_12,plain,
    ( n2(X1)
    | ~ p1(X2,X3,X1) ),
    inference(fof_simplification,[status(thm)],[rule_137]) ).

cnf(c_0_13,plain,
    ( p1(a,b,a)
    | ~ r0(b)
    | ~ p1(a,a,a) ),
    c_0_9 ).

cnf(c_0_14,axiom,
    r0(b),
    axiom_9 ).

cnf(c_0_15,plain,
    p1(a,a,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).

cnf(c_0_16,plain,
    ( k3(X1,X1,X1)
    | ~ n2(X1) ),
    inference(fof_simplification,[status(thm)],[rule_210]) ).

cnf(c_0_17,plain,
    ( n2(X1)
    | ~ p1(X2,X3,X1) ),
    c_0_12 ).

cnf(c_0_18,plain,
    p1(a,b,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

cnf(c_0_19,negated_conjecture,
    ~ p4(a,X1,X2),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_20,plain,
    ( p4(X1,X2,X1)
    | ~ k3(X1,X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_287]) ).

cnf(c_0_21,plain,
    ( k3(X1,X1,X1)
    | ~ n2(X1) ),
    c_0_16 ).

cnf(c_0_22,plain,
    n2(a),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    ~ p4(a,X1,X2),
    c_0_19 ).

cnf(c_0_24,plain,
    ( p4(X1,X2,X1)
    | ~ k3(X1,X1,X2) ),
    c_0_20 ).

cnf(c_0_25,plain,
    k3(a,a,a),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    ~ k3(a,a,X1),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,plain,
    $false,
    inference(sr,[status(thm)],[c_0_25,c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN268-1 : TPTP v8.2.0. Released v1.1.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n025.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 13:43:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.21/0.54  # Version: 3.1.0
% 0.21/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.54  # Starting sh5l with 300s (1) cores
% 0.21/0.54  # new_bool_3 with pid 1281 completed with status 0
% 0.21/0.54  # Result found by new_bool_3
% 0.21/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.54  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.21/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.54  # SAT001_MinMin_p005000_rr_RG with pid 1288 completed with status 0
% 0.21/0.54  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.55  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.21/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.55  # Preprocessing time       : 0.005 s
% 0.21/0.55  # Presaturation interreduction done
% 0.21/0.55  
% 0.21/0.55  # Proof found!
% 0.21/0.55  # SZS status Unsatisfiable
% 0.21/0.55  # SZS output start CNFRefutation
% See solution above
% 0.21/0.55  # Parsed axioms                        : 369
% 0.21/0.55  # Removed by relevancy pruning/SinE    : 39
% 0.21/0.55  # Initial clauses                      : 330
% 0.21/0.55  # Removed in clause preprocessing      : 6
% 0.21/0.55  # Initial clauses in saturation        : 324
% 0.21/0.55  # Processed clauses                    : 451
% 0.21/0.55  # ...of these trivial                  : 13
% 0.21/0.55  # ...subsumed                          : 22
% 0.21/0.55  # ...remaining for further processing  : 416
% 0.21/0.55  # Other redundant clauses eliminated   : 0
% 0.21/0.55  # Clauses deleted for lack of memory   : 0
% 0.21/0.55  # Backward-subsumed                    : 4
% 0.21/0.55  # Backward-rewritten                   : 21
% 0.21/0.55  # Generated clauses                    : 68
% 0.21/0.55  # ...of the previous two non-redundant : 63
% 0.21/0.55  # ...aggressively subsumed             : 0
% 0.21/0.55  # Contextual simplify-reflections      : 1
% 0.21/0.55  # Paramodulations                      : 67
% 0.21/0.55  # Factorizations                       : 0
% 0.21/0.55  # NegExts                              : 0
% 0.21/0.55  # Equation resolutions                 : 0
% 0.21/0.55  # Disequality decompositions           : 0
% 0.21/0.55  # Total rewrite steps                  : 104
% 0.21/0.55  # ...of those cached                   : 51
% 0.21/0.55  # Propositional unsat checks           : 0
% 0.21/0.55  #    Propositional check models        : 0
% 0.21/0.55  #    Propositional check unsatisfiable : 0
% 0.21/0.55  #    Propositional clauses             : 0
% 0.21/0.55  #    Propositional clauses after purity: 0
% 0.21/0.55  #    Propositional unsat core size     : 0
% 0.21/0.55  #    Propositional preprocessing time  : 0.000
% 0.21/0.55  #    Propositional encoding time       : 0.000
% 0.21/0.55  #    Propositional solver time         : 0.000
% 0.21/0.55  #    Success case prop preproc time    : 0.000
% 0.21/0.55  #    Success case prop encoding time   : 0.000
% 0.21/0.55  #    Success case prop solver time     : 0.000
% 0.21/0.55  # Current number of processed clauses  : 100
% 0.21/0.55  #    Positive orientable unit clauses  : 63
% 0.21/0.55  #    Positive unorientable unit clauses: 0
% 0.21/0.55  #    Negative unit clauses             : 2
% 0.21/0.55  #    Non-unit-clauses                  : 35
% 0.21/0.55  # Current number of unprocessed clauses: 222
% 0.21/0.55  # ...number of literals in the above   : 663
% 0.21/0.55  # Current number of archived formulas  : 0
% 0.21/0.55  # Current number of archived clauses   : 316
% 0.21/0.55  # Clause-clause subsumption calls (NU) : 18412
% 0.21/0.55  # Rec. Clause-clause subsumption calls : 12121
% 0.21/0.55  # Non-unit clause-clause subsumptions  : 27
% 0.21/0.55  # Unit Clause-clause subsumption calls : 93
% 0.21/0.55  # Rewrite failures with RHS unbound    : 0
% 0.21/0.55  # BW rewrite match attempts            : 22
% 0.21/0.55  # BW rewrite match successes           : 19
% 0.21/0.55  # Condensation attempts                : 0
% 0.21/0.55  # Condensation successes               : 0
% 0.21/0.55  # Termbank termtop insertions          : 12316
% 0.21/0.55  # Search garbage collected termcells   : 1510
% 0.21/0.55  
% 0.21/0.55  # -------------------------------------------------
% 0.21/0.55  # User time                : 0.036 s
% 0.21/0.55  # System time              : 0.005 s
% 0.21/0.55  # Total time               : 0.041 s
% 0.21/0.55  # Maximum resident set size: 2612 pages
% 0.21/0.55  
% 0.21/0.55  # -------------------------------------------------
% 0.21/0.55  # User time                : 0.040 s
% 0.21/0.55  # System time              : 0.009 s
% 0.21/0.55  # Total time               : 0.049 s
% 0.21/0.55  # Maximum resident set size: 2024 pages
% 0.21/0.55  % E---3.1 exiting
% 0.21/0.55  % E exiting
%------------------------------------------------------------------------------