TSTP Solution File: SYN252-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN252-1 : TPTP v8.1.2. 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:14:12 EDT 2023

% Result   : Unsatisfiable 0.37s 0.74s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   69 (  28 unt;   0 nHn;  48 RR)
%            Number of literals    :  143 (   0 equ;  78 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :  111 (  38 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_085,axiom,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',rule_085) ).

cnf(axiom_14,axiom,
    p0(b,X1),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',axiom_14) ).

cnf(rule_126,axiom,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',rule_126) ).

cnf(axiom_17,axiom,
    q0(X1,d),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',axiom_17) ).

cnf(rule_125,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',rule_125) ).

cnf(rule_181,axiom,
    ( q2(X1,X1,X1)
    | ~ p1(X1,X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',rule_181) ).

cnf(rule_273,axiom,
    ( s3(X1,X2)
    | ~ q2(X3,X1,X3)
    | ~ s2(X1)
    | ~ m0(X3,X4,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',rule_273) ).

cnf(rule_133,axiom,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ s1(X3)
    | ~ m0(X4,X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',rule_133) ).

cnf(axiom_19,axiom,
    m0(X1,d,X2),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',axiom_19) ).

cnf(rule_279,axiom,
    ( m4(X1,X2)
    | ~ l2(X3,X2)
    | ~ s3(a,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',rule_279) ).

cnf(rule_050,axiom,
    ( n1(X1,X2,X1)
    | ~ s0(b)
    | ~ l0(X1)
    | ~ p0(b,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',rule_050) ).

cnf(axiom_5,axiom,
    s0(b),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',axiom_5) ).

cnf(rule_069,axiom,
    ( p1(X1,X1,X2)
    | ~ p0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',rule_069) ).

cnf(axiom_20,axiom,
    l0(a),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',axiom_20) ).

cnf(prove_this,negated_conjecture,
    ~ m4(X1,d),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',prove_this) ).

cnf(rule_189,axiom,
    ( s2(X1)
    | ~ q2(b,X1,b)
    | ~ s1(b) ),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',rule_189) ).

cnf(rule_182,axiom,
    ( q2(X1,X2,X1)
    | ~ p1(X1,X1,X3)
    | ~ n1(X2,X1,X3)
    | ~ q2(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',rule_182) ).

cnf(rule_177,axiom,
    ( q2(X1,X2,X2)
    | ~ k0(X2)
    | ~ p1(X1,X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',rule_177) ).

cnf(rule_054,axiom,
    ( n1(X1,X2,X2)
    | ~ l0(X3)
    | ~ l1(X3,X1)
    | ~ n1(X1,X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',rule_054) ).

cnf(rule_002,axiom,
    ( l1(X1,X1)
    | ~ n0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',rule_002) ).

cnf(axiom_37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',axiom_37) ).

cnf(axiom_32,axiom,
    k0(b),
    file('/export/starexec/sandbox/tmp/tmp.B8adTUZYSZ/E---3.1_9905.p',axiom_32) ).

cnf(c_0_22,axiom,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    rule_085 ).

cnf(c_0_23,axiom,
    p0(b,X1),
    axiom_14 ).

cnf(c_0_24,axiom,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    rule_126 ).

cnf(c_0_25,axiom,
    q0(X1,d),
    axiom_17 ).

cnf(c_0_26,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    rule_125 ).

cnf(c_0_27,axiom,
    ( q2(X1,X1,X1)
    | ~ p1(X1,X1,X1) ),
    rule_181 ).

cnf(c_0_28,plain,
    p1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,plain,
    ( s1(X1)
    | ~ s1(X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,plain,
    s1(b),
    inference(spm,[status(thm)],[c_0_26,c_0_23]) ).

cnf(c_0_31,axiom,
    ( s3(X1,X2)
    | ~ q2(X3,X1,X3)
    | ~ s2(X1)
    | ~ m0(X3,X4,X2) ),
    rule_273 ).

cnf(c_0_32,plain,
    q2(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]) ).

cnf(c_0_33,axiom,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ s1(X3)
    | ~ m0(X4,X3,X1) ),
    rule_133 ).

cnf(c_0_34,plain,
    s1(X1),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,plain,
    ( s3(X1,X2)
    | ~ s2(X1)
    | ~ m0(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,axiom,
    m0(X1,d,X2),
    axiom_19 ).

cnf(c_0_37,plain,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ m0(X3,X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).

cnf(c_0_38,axiom,
    ( m4(X1,X2)
    | ~ l2(X3,X2)
    | ~ s3(a,X1) ),
    rule_279 ).

cnf(c_0_39,plain,
    ( s3(X1,X2)
    | ~ s2(X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    ( l2(X1,X1)
    | ~ p0(X2,X2) ),
    inference(spm,[status(thm)],[c_0_37,c_0_36]) ).

cnf(c_0_41,axiom,
    ( n1(X1,X2,X1)
    | ~ s0(b)
    | ~ l0(X1)
    | ~ p0(b,X2) ),
    rule_050 ).

cnf(c_0_42,axiom,
    s0(b),
    axiom_5 ).

cnf(c_0_43,plain,
    ( m4(X1,X2)
    | ~ s2(a)
    | ~ l2(X3,X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,plain,
    l2(X1,X1),
    inference(spm,[status(thm)],[c_0_40,c_0_23]) ).

cnf(c_0_45,axiom,
    ( p1(X1,X1,X2)
    | ~ p0(X2,X1) ),
    rule_069 ).

cnf(c_0_46,plain,
    ( n1(X1,X2,X1)
    | ~ l0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42]),c_0_23])]) ).

cnf(c_0_47,axiom,
    l0(a),
    axiom_20 ).

cnf(c_0_48,negated_conjecture,
    ~ m4(X1,d),
    prove_this ).

cnf(c_0_49,plain,
    ( m4(X1,X2)
    | ~ s2(a) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_50,axiom,
    ( s2(X1)
    | ~ q2(b,X1,b)
    | ~ s1(b) ),
    rule_189 ).

cnf(c_0_51,axiom,
    ( q2(X1,X2,X1)
    | ~ p1(X1,X1,X3)
    | ~ n1(X2,X1,X3)
    | ~ q2(X2,X3,X1) ),
    rule_182 ).

cnf(c_0_52,plain,
    p1(X1,X1,b),
    inference(spm,[status(thm)],[c_0_45,c_0_23]) ).

cnf(c_0_53,axiom,
    ( q2(X1,X2,X2)
    | ~ k0(X2)
    | ~ p1(X1,X1,X1) ),
    rule_177 ).

cnf(c_0_54,axiom,
    ( n1(X1,X2,X2)
    | ~ l0(X3)
    | ~ l1(X3,X1)
    | ~ n1(X1,X2,X1) ),
    rule_054 ).

cnf(c_0_55,plain,
    n1(a,X1,a),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_56,axiom,
    ( l1(X1,X1)
    | ~ n0(X2,X1) ),
    rule_002 ).

cnf(c_0_57,axiom,
    n0(b,a),
    axiom_37 ).

cnf(c_0_58,negated_conjecture,
    ~ s2(a),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_59,plain,
    ( s2(X1)
    | ~ q2(b,X1,b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_30])]) ).

cnf(c_0_60,plain,
    ( q2(X1,X2,X1)
    | ~ q2(X2,b,X1)
    | ~ n1(X2,X1,b) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_61,plain,
    ( q2(X1,X2,X2)
    | ~ k0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_28])]) ).

cnf(c_0_62,axiom,
    k0(b),
    axiom_32 ).

cnf(c_0_63,plain,
    ( n1(a,X1,X1)
    | ~ l1(X2,a)
    | ~ l0(X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_64,plain,
    l1(a,a),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_65,negated_conjecture,
    ~ q2(b,a,b),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_66,plain,
    ( q2(b,X1,b)
    | ~ n1(X1,b,b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).

cnf(c_0_67,plain,
    n1(a,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_47])]) ).

cnf(c_0_68,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : SYN252-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.16  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n003.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 18:51:18 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.37/0.54  Running first-order theorem proving
% 0.37/0.54  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.B8adTUZYSZ/E---3.1_9905.p
% 0.37/0.74  # Version: 3.1pre001
% 0.37/0.74  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.37/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.74  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.37/0.74  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.74  # Starting new_bool_1 with 300s (1) cores
% 0.37/0.74  # Starting sh5l with 300s (1) cores
% 0.37/0.74  # sh5l with pid 10058 completed with status 0
% 0.37/0.74  # Result found by sh5l
% 0.37/0.74  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.37/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.74  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.37/0.74  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.74  # Starting new_bool_1 with 300s (1) cores
% 0.37/0.74  # Starting sh5l with 300s (1) cores
% 0.37/0.74  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.37/0.74  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.37/0.74  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.74  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.37/0.74  # SAT001_MinMin_p005000_rr_RG with pid 10067 completed with status 0
% 0.37/0.74  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.37/0.74  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.37/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.74  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.37/0.74  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.74  # Starting new_bool_1 with 300s (1) cores
% 0.37/0.74  # Starting sh5l with 300s (1) cores
% 0.37/0.74  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.37/0.74  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.37/0.74  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.74  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.37/0.74  # Preprocessing time       : 0.005 s
% 0.37/0.74  # Presaturation interreduction done
% 0.37/0.74  
% 0.37/0.74  # Proof found!
% 0.37/0.74  # SZS status Unsatisfiable
% 0.37/0.74  # SZS output start CNFRefutation
% See solution above
% 0.37/0.74  # Parsed axioms                        : 369
% 0.37/0.74  # Removed by relevancy pruning/SinE    : 0
% 0.37/0.74  # Initial clauses                      : 369
% 0.37/0.74  # Removed in clause preprocessing      : 7
% 0.37/0.74  # Initial clauses in saturation        : 362
% 0.37/0.74  # Processed clauses                    : 1893
% 0.37/0.74  # ...of these trivial                  : 79
% 0.37/0.74  # ...subsumed                          : 229
% 0.37/0.74  # ...remaining for further processing  : 1585
% 0.37/0.74  # Other redundant clauses eliminated   : 0
% 0.37/0.74  # Clauses deleted for lack of memory   : 0
% 0.37/0.74  # Backward-subsumed                    : 203
% 0.37/0.74  # Backward-rewritten                   : 425
% 0.37/0.74  # Generated clauses                    : 2859
% 0.37/0.74  # ...of the previous two non-redundant : 1943
% 0.37/0.74  # ...aggressively subsumed             : 0
% 0.37/0.74  # Contextual simplify-reflections      : 3
% 0.37/0.74  # Paramodulations                      : 2859
% 0.37/0.74  # Factorizations                       : 0
% 0.37/0.74  # NegExts                              : 0
% 0.37/0.74  # Equation resolutions                 : 0
% 0.37/0.74  # Total rewrite steps                  : 2168
% 0.37/0.74  # Propositional unsat checks           : 0
% 0.37/0.74  #    Propositional check models        : 0
% 0.37/0.74  #    Propositional check unsatisfiable : 0
% 0.37/0.74  #    Propositional clauses             : 0
% 0.37/0.74  #    Propositional clauses after purity: 0
% 0.37/0.74  #    Propositional unsat core size     : 0
% 0.37/0.74  #    Propositional preprocessing time  : 0.000
% 0.37/0.74  #    Propositional encoding time       : 0.000
% 0.37/0.74  #    Propositional solver time         : 0.000
% 0.37/0.74  #    Success case prop preproc time    : 0.000
% 0.37/0.74  #    Success case prop encoding time   : 0.000
% 0.37/0.74  #    Success case prop solver time     : 0.000
% 0.37/0.74  # Current number of processed clauses  : 629
% 0.37/0.74  #    Positive orientable unit clauses  : 249
% 0.37/0.74  #    Positive unorientable unit clauses: 0
% 0.37/0.74  #    Negative unit clauses             : 4
% 0.37/0.74  #    Non-unit-clauses                  : 376
% 0.37/0.74  # Current number of unprocessed clauses: 208
% 0.37/0.74  # ...number of literals in the above   : 769
% 0.37/0.74  # Current number of archived formulas  : 0
% 0.37/0.74  # Current number of archived clauses   : 956
% 0.37/0.74  # Clause-clause subsumption calls (NU) : 80105
% 0.37/0.74  # Rec. Clause-clause subsumption calls : 62504
% 0.37/0.74  # Non-unit clause-clause subsumptions  : 366
% 0.37/0.74  # Unit Clause-clause subsumption calls : 7255
% 0.37/0.74  # Rewrite failures with RHS unbound    : 0
% 0.37/0.74  # BW rewrite match attempts            : 809
% 0.37/0.74  # BW rewrite match successes           : 308
% 0.37/0.74  # Condensation attempts                : 0
% 0.37/0.74  # Condensation successes               : 0
% 0.37/0.74  # Termbank termtop insertions          : 40411
% 0.37/0.74  
% 0.37/0.74  # -------------------------------------------------
% 0.37/0.74  # User time                : 0.180 s
% 0.37/0.74  # System time              : 0.007 s
% 0.37/0.74  # Total time               : 0.187 s
% 0.37/0.74  # Maximum resident set size: 2528 pages
% 0.37/0.74  
% 0.37/0.74  # -------------------------------------------------
% 0.37/0.74  # User time                : 0.187 s
% 0.37/0.74  # System time              : 0.009 s
% 0.37/0.74  # Total time               : 0.196 s
% 0.37/0.74  # Maximum resident set size: 2000 pages
% 0.37/0.74  % E---3.1 exiting
% 1.81/0.74  % E---3.1 exiting
%------------------------------------------------------------------------------