TSTP Solution File: SYN273-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN273-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 : Sat May  4 10:06:48 EDT 2024

% Result   : Unsatisfiable 0.36s 0.60s
% Output   : CNFRefutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   41 (  18 unt;   0 nHn;  37 RR)
%            Number of literals    :   77 (   0 equ;  40 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   53 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_021,axiom,
    ( m1(X1,X2,X1)
    | ~ l0(X1)
    | ~ k0(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.dOsFODvXYP/E---3.1_29930.p',rule_021) ).

cnf(axiom_28,axiom,
    k0(e),
    file('/export/starexec/sandbox/tmp/tmp.dOsFODvXYP/E---3.1_29930.p',axiom_28) ).

cnf(rule_107,axiom,
    ( q1(e,X1,X1)
    | ~ m0(X1,d,X1)
    | ~ m0(e,d,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.dOsFODvXYP/E---3.1_29930.p',rule_107) ).

cnf(rule_127,axiom,
    ( k2(X1,X2)
    | ~ m1(X3,X2,X1)
    | ~ k1(X4)
    | ~ k2(X4,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.dOsFODvXYP/E---3.1_29930.p',rule_127) ).

cnf(axiom_24,axiom,
    l0(c),
    file('/export/starexec/sandbox/tmp/tmp.dOsFODvXYP/E---3.1_29930.p',axiom_24) ).

cnf(rule_129,axiom,
    ( k2(X1,X1)
    | ~ q1(X2,X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.dOsFODvXYP/E---3.1_29930.p',rule_129) ).

cnf(axiom_19,axiom,
    m0(X1,d,X2),
    file('/export/starexec/sandbox/tmp/tmp.dOsFODvXYP/E---3.1_29930.p',axiom_19) ).

cnf(rule_001,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.dOsFODvXYP/E---3.1_29930.p',rule_001) ).

cnf(axiom_30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox/tmp/tmp.dOsFODvXYP/E---3.1_29930.p',axiom_30) ).

cnf(prove_this,negated_conjecture,
    ~ p4(e,c,e),
    file('/export/starexec/sandbox/tmp/tmp.dOsFODvXYP/E---3.1_29930.p',prove_this) ).

cnf(rule_287,axiom,
    ( p4(X1,X2,X1)
    | ~ k3(X1,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.dOsFODvXYP/E---3.1_29930.p',rule_287) ).

cnf(rule_194,axiom,
    ( k3(X1,X1,X2)
    | ~ k2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.dOsFODvXYP/E---3.1_29930.p',rule_194) ).

cnf(c_0_12,plain,
    ( m1(X1,X2,X1)
    | ~ l0(X1)
    | ~ k0(X2) ),
    inference(fof_simplification,[status(thm)],[rule_021]) ).

cnf(c_0_13,plain,
    ( m1(X1,X2,X1)
    | ~ l0(X1)
    | ~ k0(X2) ),
    c_0_12 ).

cnf(c_0_14,axiom,
    k0(e),
    axiom_28 ).

cnf(c_0_15,plain,
    ( q1(e,X1,X1)
    | ~ m0(X1,d,X1)
    | ~ m0(e,d,X1) ),
    inference(fof_simplification,[status(thm)],[rule_107]) ).

cnf(c_0_16,plain,
    ( k2(X1,X2)
    | ~ m1(X3,X2,X1)
    | ~ k1(X4)
    | ~ k2(X4,X2) ),
    inference(fof_simplification,[status(thm)],[rule_127]) ).

cnf(c_0_17,plain,
    ( m1(X1,e,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,axiom,
    l0(c),
    axiom_24 ).

cnf(c_0_19,plain,
    ( k2(X1,X1)
    | ~ q1(X2,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_129]) ).

cnf(c_0_20,plain,
    ( q1(e,X1,X1)
    | ~ m0(X1,d,X1)
    | ~ m0(e,d,X1) ),
    c_0_15 ).

cnf(c_0_21,axiom,
    m0(X1,d,X2),
    axiom_19 ).

cnf(c_0_22,plain,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_001]) ).

cnf(c_0_23,plain,
    ( k2(X1,X2)
    | ~ m1(X3,X2,X1)
    | ~ k1(X4)
    | ~ k2(X4,X2) ),
    c_0_16 ).

cnf(c_0_24,plain,
    m1(c,e,c),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_25,plain,
    ( k2(X1,X1)
    | ~ q1(X2,X1,X1) ),
    c_0_19 ).

cnf(c_0_26,plain,
    q1(e,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_21])]) ).

cnf(c_0_27,plain,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    c_0_22 ).

cnf(c_0_28,axiom,
    n0(e,e),
    axiom_30 ).

cnf(c_0_29,negated_conjecture,
    ~ p4(e,c,e),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_30,plain,
    ( p4(X1,X2,X1)
    | ~ k3(X1,X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_287]) ).

cnf(c_0_31,plain,
    ( k3(X1,X1,X2)
    | ~ k2(X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_194]) ).

cnf(c_0_32,plain,
    ( k2(c,e)
    | ~ k2(X1,e)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_33,plain,
    k2(X1,X1),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_34,plain,
    k1(e),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_35,negated_conjecture,
    ~ p4(e,c,e),
    c_0_29 ).

cnf(c_0_36,plain,
    ( p4(X1,X2,X1)
    | ~ k3(X1,X1,X2) ),
    c_0_30 ).

cnf(c_0_37,plain,
    ( k3(X1,X1,X2)
    | ~ k2(X2,X1) ),
    c_0_31 ).

cnf(c_0_38,plain,
    k2(c,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

cnf(c_0_39,negated_conjecture,
    ~ k3(e,e,c),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : SYN273-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.15  % Command    : run_E %s %d THM
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 10:31:49 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.22/0.51  Running first-order theorem proving
% 0.22/0.51  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.dOsFODvXYP/E---3.1_29930.p
% 0.36/0.60  # Version: 3.1.0
% 0.36/0.60  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.36/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.36/0.60  # Starting new_bool_3 with 300s (1) cores
% 0.36/0.60  # Starting new_bool_1 with 300s (1) cores
% 0.36/0.60  # Starting sh5l with 300s (1) cores
% 0.36/0.60  # new_bool_3 with pid 30009 completed with status 0
% 0.36/0.60  # Result found by new_bool_3
% 0.36/0.60  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.36/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.36/0.60  # Starting new_bool_3 with 300s (1) cores
% 0.36/0.60  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.36/0.60  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.36/0.60  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.60  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.36/0.60  # SAT001_MinMin_p005000_rr_RG with pid 30015 completed with status 0
% 0.36/0.60  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.36/0.60  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.36/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.36/0.60  # Starting new_bool_3 with 300s (1) cores
% 0.36/0.60  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.36/0.60  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.36/0.60  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.60  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.36/0.60  # Preprocessing time       : 0.005 s
% 0.36/0.60  # Presaturation interreduction done
% 0.36/0.60  
% 0.36/0.60  # Proof found!
% 0.36/0.60  # SZS status Unsatisfiable
% 0.36/0.60  # SZS output start CNFRefutation
% See solution above
% 0.36/0.60  # Parsed axioms                        : 369
% 0.36/0.60  # Removed by relevancy pruning/SinE    : 39
% 0.36/0.60  # Initial clauses                      : 330
% 0.36/0.60  # Removed in clause preprocessing      : 6
% 0.36/0.60  # Initial clauses in saturation        : 324
% 0.36/0.60  # Processed clauses                    : 806
% 0.36/0.60  # ...of these trivial                  : 25
% 0.36/0.60  # ...subsumed                          : 29
% 0.36/0.60  # ...remaining for further processing  : 752
% 0.36/0.60  # Other redundant clauses eliminated   : 0
% 0.36/0.60  # Clauses deleted for lack of memory   : 0
% 0.36/0.60  # Backward-subsumed                    : 18
% 0.36/0.60  # Backward-rewritten                   : 52
% 0.36/0.60  # Generated clauses                    : 960
% 0.36/0.60  # ...of the previous two non-redundant : 645
% 0.36/0.60  # ...aggressively subsumed             : 0
% 0.36/0.60  # Contextual simplify-reflections      : 1
% 0.36/0.60  # Paramodulations                      : 960
% 0.36/0.60  # Factorizations                       : 0
% 0.36/0.60  # NegExts                              : 0
% 0.36/0.60  # Equation resolutions                 : 0
% 0.36/0.60  # Disequality decompositions           : 0
% 0.36/0.60  # Total rewrite steps                  : 611
% 0.36/0.60  # ...of those cached                   : 474
% 0.36/0.60  # Propositional unsat checks           : 0
% 0.36/0.60  #    Propositional check models        : 0
% 0.36/0.60  #    Propositional check unsatisfiable : 0
% 0.36/0.60  #    Propositional clauses             : 0
% 0.36/0.60  #    Propositional clauses after purity: 0
% 0.36/0.60  #    Propositional unsat core size     : 0
% 0.36/0.60  #    Propositional preprocessing time  : 0.000
% 0.36/0.60  #    Propositional encoding time       : 0.000
% 0.36/0.60  #    Propositional solver time         : 0.000
% 0.36/0.60  #    Success case prop preproc time    : 0.000
% 0.36/0.60  #    Success case prop encoding time   : 0.000
% 0.36/0.60  #    Success case prop solver time     : 0.000
% 0.36/0.60  # Current number of processed clauses  : 392
% 0.36/0.60  #    Positive orientable unit clauses  : 144
% 0.36/0.60  #    Positive unorientable unit clauses: 0
% 0.36/0.60  #    Negative unit clauses             : 4
% 0.36/0.60  #    Non-unit-clauses                  : 244
% 0.36/0.60  # Current number of unprocessed clauses: 426
% 0.36/0.60  # ...number of literals in the above   : 1036
% 0.36/0.60  # Current number of archived formulas  : 0
% 0.36/0.60  # Current number of archived clauses   : 360
% 0.36/0.60  # Clause-clause subsumption calls (NU) : 35149
% 0.36/0.60  # Rec. Clause-clause subsumption calls : 25147
% 0.36/0.60  # Non-unit clause-clause subsumptions  : 37
% 0.36/0.60  # Unit Clause-clause subsumption calls : 225
% 0.36/0.60  # Rewrite failures with RHS unbound    : 0
% 0.36/0.60  # BW rewrite match attempts            : 78
% 0.36/0.60  # BW rewrite match successes           : 47
% 0.36/0.60  # Condensation attempts                : 0
% 0.36/0.60  # Condensation successes               : 0
% 0.36/0.60  # Termbank termtop insertions          : 22468
% 0.36/0.60  # Search garbage collected termcells   : 1510
% 0.36/0.60  
% 0.36/0.60  # -------------------------------------------------
% 0.36/0.60  # User time                : 0.062 s
% 0.36/0.60  # System time              : 0.008 s
% 0.36/0.60  # Total time               : 0.070 s
% 0.36/0.60  # Maximum resident set size: 2624 pages
% 0.36/0.60  
% 0.36/0.60  # -------------------------------------------------
% 0.36/0.60  # User time                : 0.068 s
% 0.36/0.60  # System time              : 0.009 s
% 0.36/0.60  # Total time               : 0.078 s
% 0.36/0.60  # Maximum resident set size: 2016 pages
% 0.36/0.60  % E---3.1 exiting
% 0.36/0.60  % E exiting
%------------------------------------------------------------------------------