TSTP Solution File: SYN113-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN113-1 : TPTP v8.2.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 07:43:25 EDT 2024

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   29 (  13 unt;   0 nHn;  22 RR)
%            Number of literals    :   55 (   0 equ;  29 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   43 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_005,axiom,
    ( m1(X1,X2,X1)
    | ~ m0(X2,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_005) ).

cnf(rule_107,axiom,
    ( q1(e,X1,X1)
    | ~ m0(X1,d,X1)
    | ~ m0(e,d,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_107) ).

cnf(rule_127,axiom,
    ( k2(X1,X2)
    | ~ m1(X3,X2,X1)
    | ~ k1(X4)
    | ~ k2(X4,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_127) ).

cnf(axiom_19,axiom,
    m0(X1,d,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(rule_129,axiom,
    ( k2(X1,X1)
    | ~ q1(X2,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).

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

cnf(axiom_34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).

cnf(prove_this,negated_conjecture,
    ~ k2(e,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(c_0_8,plain,
    ( m1(X1,X2,X1)
    | ~ m0(X2,X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_005]) ).

cnf(c_0_9,plain,
    ( q1(e,X1,X1)
    | ~ m0(X1,d,X1)
    | ~ m0(e,d,X1) ),
    inference(fof_simplification,[status(thm)],[rule_107]) ).

cnf(c_0_10,plain,
    ( k2(X1,X2)
    | ~ m1(X3,X2,X1)
    | ~ k1(X4)
    | ~ k2(X4,X2) ),
    inference(fof_simplification,[status(thm)],[rule_127]) ).

cnf(c_0_11,plain,
    ( m1(X1,X2,X1)
    | ~ m0(X2,X2,X1) ),
    c_0_8 ).

cnf(c_0_12,axiom,
    m0(X1,d,X2),
    axiom_19 ).

cnf(c_0_13,plain,
    ( k2(X1,X1)
    | ~ q1(X2,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_129]) ).

cnf(c_0_14,plain,
    ( q1(e,X1,X1)
    | ~ m0(X1,d,X1)
    | ~ m0(e,d,X1) ),
    c_0_9 ).

cnf(c_0_15,plain,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_001]) ).

cnf(c_0_16,plain,
    ( k2(X1,X2)
    | ~ m1(X3,X2,X1)
    | ~ k1(X4)
    | ~ k2(X4,X2) ),
    c_0_10 ).

cnf(c_0_17,plain,
    m1(X1,d,X1),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_18,plain,
    ( k2(X1,X1)
    | ~ q1(X2,X1,X1) ),
    c_0_13 ).

cnf(c_0_19,plain,
    q1(e,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_12]),c_0_12])]) ).

cnf(c_0_20,plain,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    c_0_15 ).

cnf(c_0_21,axiom,
    n0(c,d),
    axiom_34 ).

cnf(c_0_22,negated_conjecture,
    ~ k2(e,d),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_23,plain,
    ( k2(X1,d)
    | ~ k2(X2,d)
    | ~ k1(X2) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_24,plain,
    k2(X1,X1),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,plain,
    k1(d),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    ~ k2(e,d),
    c_0_22 ).

cnf(c_0_27,plain,
    k2(X1,d),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem    : SYN113-1 : TPTP v8.2.0. Released v1.1.0.
% 0.13/0.13  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 15:40:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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/benchmark/theBenchmark.p
% 0.21/0.55  # Version: 3.1.0
% 0.21/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.55  # 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  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.55  # Starting sh5l with 300s (1) cores
% 0.21/0.55  # new_bool_3 with pid 2731 completed with status 0
% 0.21/0.55  # Result found by new_bool_3
% 0.21/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.55  # 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  # SAT001_MinMin_p005000_rr_RG with pid 2737 completed with status 0
% 0.21/0.55  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.55  # 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    : 41
% 0.21/0.55  # Initial clauses                      : 328
% 0.21/0.55  # Removed in clause preprocessing      : 5
% 0.21/0.55  # Initial clauses in saturation        : 323
% 0.21/0.55  # Processed clauses                    : 678
% 0.21/0.55  # ...of these trivial                  : 19
% 0.21/0.55  # ...subsumed                          : 23
% 0.21/0.55  # ...remaining for further processing  : 636
% 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                    : 12
% 0.21/0.55  # Backward-rewritten                   : 55
% 0.21/0.55  # Generated clauses                    : 500
% 0.21/0.55  # ...of the previous two non-redundant : 329
% 0.21/0.55  # ...aggressively subsumed             : 0
% 0.21/0.55  # Contextual simplify-reflections      : 1
% 0.21/0.55  # Paramodulations                      : 500
% 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                  : 395
% 0.21/0.55  # ...of those cached                   : 264
% 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  : 280
% 0.21/0.55  #    Positive orientable unit clauses  : 118
% 0.21/0.55  #    Positive unorientable unit clauses: 0
% 0.21/0.55  #    Negative unit clauses             : 0
% 0.21/0.55  #    Non-unit-clauses                  : 162
% 0.21/0.55  # Current number of unprocessed clauses: 245
% 0.21/0.55  # ...number of literals in the above   : 611
% 0.21/0.55  # Current number of archived formulas  : 0
% 0.21/0.55  # Current number of archived clauses   : 356
% 0.21/0.55  # Clause-clause subsumption calls (NU) : 24710
% 0.21/0.55  # Rec. Clause-clause subsumption calls : 17707
% 0.21/0.55  # Non-unit clause-clause subsumptions  : 31
% 0.21/0.55  # Unit Clause-clause subsumption calls : 399
% 0.21/0.55  # Rewrite failures with RHS unbound    : 0
% 0.21/0.55  # BW rewrite match attempts            : 92
% 0.21/0.55  # BW rewrite match successes           : 52
% 0.21/0.55  # Condensation attempts                : 0
% 0.21/0.55  # Condensation successes               : 0
% 0.21/0.55  # Termbank termtop insertions          : 17005
% 0.21/0.55  # Search garbage collected termcells   : 1516
% 0.21/0.55  
% 0.21/0.55  # -------------------------------------------------
% 0.21/0.55  # User time                : 0.049 s
% 0.21/0.55  # System time              : 0.005 s
% 0.21/0.55  # Total time               : 0.054 s
% 0.21/0.55  # Maximum resident set size: 2600 pages
% 0.21/0.55  
% 0.21/0.55  # -------------------------------------------------
% 0.21/0.55  # User time                : 0.054 s
% 0.21/0.55  # System time              : 0.009 s
% 0.21/0.55  # Total time               : 0.063 s
% 0.21/0.55  # Maximum resident set size: 2016 pages
% 0.21/0.55  % E---3.1 exiting
% 0.21/0.55  % E exiting
%------------------------------------------------------------------------------