TSTP Solution File: SYN110-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN110-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 20:13:49 EDT 2023

% Result   : Unsatisfiable 0.37s 0.61s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   46 (  27 unt;   0 nHn;  40 RR)
%            Number of literals    :   79 (   0 equ;  36 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   42 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_024,axiom,
    ( m1(X1,a,X2)
    | ~ m0(a,X3,a)
    | ~ q0(X1,X2)
    | ~ m1(X2,c,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',rule_024) ).

cnf(axiom_12,axiom,
    m0(a,X1,a),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',axiom_12) ).

cnf(rule_020,axiom,
    ( m1(c,c,c)
    | ~ l0(c) ),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',rule_020) ).

cnf(axiom_24,axiom,
    l0(c),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',axiom_24) ).

cnf(rule_035,axiom,
    ( m1(X1,X2,X1)
    | ~ r0(X1)
    | ~ l0(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',rule_035) ).

cnf(axiom_20,axiom,
    l0(a),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',axiom_20) ).

cnf(axiom_9,axiom,
    r0(b),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',axiom_9) ).

cnf(rule_107,axiom,
    ( q1(e,X1,X1)
    | ~ m0(X1,d,X1)
    | ~ m0(e,d,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',rule_107) ).

cnf(axiom_19,axiom,
    m0(X1,d,X2),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',axiom_19) ).

cnf(axiom_33,axiom,
    q0(d,c),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',axiom_33) ).

cnf(rule_127,axiom,
    ( k2(X1,X2)
    | ~ m1(X3,X2,X1)
    | ~ k1(X4)
    | ~ k2(X4,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',rule_127) ).

cnf(rule_129,axiom,
    ( k2(X1,X1)
    | ~ q1(X2,X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',rule_129) ).

cnf(rule_001,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',rule_001) ).

cnf(axiom_37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',axiom_37) ).

cnf(prove_this,negated_conjecture,
    ~ k2(c,a),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',prove_this) ).

cnf(axiom_15,axiom,
    n0(a,b),
    file('/export/starexec/sandbox/tmp/tmp.aJyzhXnkUe/E---3.1_22836.p',axiom_15) ).

cnf(c_0_16,axiom,
    ( m1(X1,a,X2)
    | ~ m0(a,X3,a)
    | ~ q0(X1,X2)
    | ~ m1(X2,c,X2) ),
    rule_024 ).

cnf(c_0_17,axiom,
    m0(a,X1,a),
    axiom_12 ).

cnf(c_0_18,axiom,
    ( m1(c,c,c)
    | ~ l0(c) ),
    rule_020 ).

cnf(c_0_19,axiom,
    l0(c),
    axiom_24 ).

cnf(c_0_20,axiom,
    ( m1(X1,X2,X1)
    | ~ r0(X1)
    | ~ l0(X2) ),
    rule_035 ).

cnf(c_0_21,axiom,
    l0(a),
    axiom_20 ).

cnf(c_0_22,plain,
    ( m1(X1,a,X2)
    | ~ m1(X2,c,X2)
    | ~ q0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

cnf(c_0_23,plain,
    m1(c,c,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).

cnf(c_0_24,plain,
    ( m1(X1,a,X1)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,axiom,
    r0(b),
    axiom_9 ).

cnf(c_0_26,axiom,
    ( q1(e,X1,X1)
    | ~ m0(X1,d,X1)
    | ~ m0(e,d,X1) ),
    rule_107 ).

cnf(c_0_27,axiom,
    m0(X1,d,X2),
    axiom_19 ).

cnf(c_0_28,plain,
    ( m1(X1,a,c)
    | ~ q0(X1,c) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,axiom,
    q0(d,c),
    axiom_33 ).

cnf(c_0_30,axiom,
    ( k2(X1,X2)
    | ~ m1(X3,X2,X1)
    | ~ k1(X4)
    | ~ k2(X4,X2) ),
    rule_127 ).

cnf(c_0_31,plain,
    m1(b,a,b),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_32,axiom,
    ( k2(X1,X1)
    | ~ q1(X2,X1,X1) ),
    rule_129 ).

cnf(c_0_33,plain,
    q1(e,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27]),c_0_27])]) ).

cnf(c_0_34,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    rule_001 ).

cnf(c_0_35,axiom,
    n0(b,a),
    axiom_37 ).

cnf(c_0_36,plain,
    m1(d,a,c),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_37,negated_conjecture,
    ~ k2(c,a),
    prove_this ).

cnf(c_0_38,plain,
    ( k2(b,a)
    | ~ k2(X1,a)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_39,plain,
    k2(X1,X1),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_40,plain,
    k1(a),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_41,axiom,
    n0(a,b),
    axiom_15 ).

cnf(c_0_42,plain,
    ( ~ k2(X1,a)
    | ~ k1(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_37]) ).

cnf(c_0_43,plain,
    k2(b,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).

cnf(c_0_44,plain,
    k1(b),
    inference(spm,[status(thm)],[c_0_34,c_0_41]) ).

cnf(c_0_45,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SYN110-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.16  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n005.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 2400
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon Oct  2 18:02:46 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.37/0.53  Running first-order theorem proving
% 0.37/0.53  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.aJyzhXnkUe/E---3.1_22836.p
% 0.37/0.61  # Version: 3.1pre001
% 0.37/0.61  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.37/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.61  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.37/0.61  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.61  # Starting new_bool_1 with 300s (1) cores
% 0.37/0.61  # Starting sh5l with 300s (1) cores
% 0.37/0.61  # new_bool_3 with pid 22915 completed with status 0
% 0.37/0.61  # Result found by new_bool_3
% 0.37/0.61  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.37/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.61  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.37/0.61  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.61  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.37/0.61  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.37/0.61  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.61  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.37/0.61  # SAT001_MinMin_p005000_rr_RG with pid 22921 completed with status 0
% 0.37/0.61  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.37/0.61  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.37/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.61  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.37/0.61  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.61  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.37/0.61  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.37/0.61  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.61  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.37/0.61  # Preprocessing time       : 0.005 s
% 0.37/0.61  # Presaturation interreduction done
% 0.37/0.61  
% 0.37/0.61  # Proof found!
% 0.37/0.61  # SZS status Unsatisfiable
% 0.37/0.61  # SZS output start CNFRefutation
% See solution above
% 0.37/0.61  # Parsed axioms                        : 369
% 0.37/0.61  # Removed by relevancy pruning/SinE    : 41
% 0.37/0.61  # Initial clauses                      : 328
% 0.37/0.61  # Removed in clause preprocessing      : 5
% 0.37/0.61  # Initial clauses in saturation        : 323
% 0.37/0.61  # Processed clauses                    : 800
% 0.37/0.61  # ...of these trivial                  : 38
% 0.37/0.61  # ...subsumed                          : 24
% 0.37/0.61  # ...remaining for further processing  : 738
% 0.37/0.61  # Other redundant clauses eliminated   : 0
% 0.37/0.61  # Clauses deleted for lack of memory   : 0
% 0.37/0.61  # Backward-subsumed                    : 19
% 0.37/0.61  # Backward-rewritten                   : 60
% 0.37/0.61  # Generated clauses                    : 903
% 0.37/0.61  # ...of the previous two non-redundant : 595
% 0.37/0.61  # ...aggressively subsumed             : 0
% 0.37/0.61  # Contextual simplify-reflections      : 1
% 0.37/0.61  # Paramodulations                      : 903
% 0.37/0.61  # Factorizations                       : 0
% 0.37/0.61  # NegExts                              : 0
% 0.37/0.61  # Equation resolutions                 : 0
% 0.37/0.61  # Total rewrite steps                  : 615
% 0.37/0.61  # Propositional unsat checks           : 0
% 0.37/0.61  #    Propositional check models        : 0
% 0.37/0.61  #    Propositional check unsatisfiable : 0
% 0.37/0.61  #    Propositional clauses             : 0
% 0.37/0.61  #    Propositional clauses after purity: 0
% 0.37/0.61  #    Propositional unsat core size     : 0
% 0.37/0.61  #    Propositional preprocessing time  : 0.000
% 0.37/0.61  #    Propositional encoding time       : 0.000
% 0.37/0.61  #    Propositional solver time         : 0.000
% 0.37/0.61  #    Success case prop preproc time    : 0.000
% 0.37/0.61  #    Success case prop encoding time   : 0.000
% 0.37/0.61  #    Success case prop solver time     : 0.000
% 0.37/0.61  # Current number of processed clauses  : 371
% 0.37/0.61  #    Positive orientable unit clauses  : 132
% 0.37/0.61  #    Positive unorientable unit clauses: 0
% 0.37/0.61  #    Negative unit clauses             : 1
% 0.37/0.61  #    Non-unit-clauses                  : 238
% 0.37/0.61  # Current number of unprocessed clauses: 394
% 0.37/0.61  # ...number of literals in the above   : 1003
% 0.37/0.61  # Current number of archived formulas  : 0
% 0.37/0.61  # Current number of archived clauses   : 367
% 0.37/0.61  # Clause-clause subsumption calls (NU) : 33282
% 0.37/0.61  # Rec. Clause-clause subsumption calls : 23542
% 0.37/0.61  # Non-unit clause-clause subsumptions  : 33
% 0.37/0.61  # Unit Clause-clause subsumption calls : 377
% 0.37/0.61  # Rewrite failures with RHS unbound    : 0
% 0.37/0.61  # BW rewrite match attempts            : 120
% 0.37/0.61  # BW rewrite match successes           : 55
% 0.37/0.61  # Condensation attempts                : 0
% 0.37/0.61  # Condensation successes               : 0
% 0.37/0.61  # Termbank termtop insertions          : 18884
% 0.37/0.61  
% 0.37/0.61  # -------------------------------------------------
% 0.37/0.61  # User time                : 0.055 s
% 0.37/0.61  # System time              : 0.004 s
% 0.37/0.61  # Total time               : 0.059 s
% 0.37/0.61  # Maximum resident set size: 2472 pages
% 0.37/0.61  
% 0.37/0.61  # -------------------------------------------------
% 0.37/0.61  # User time                : 0.060 s
% 0.37/0.61  # System time              : 0.007 s
% 0.37/0.61  # Total time               : 0.068 s
% 0.37/0.61  # Maximum resident set size: 2000 pages
% 0.37/0.61  % E---3.1 exiting
% 0.37/0.61  % E---3.1 exiting
%------------------------------------------------------------------------------