TSTP Solution File: SYN192-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN192-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 20:14:03 EDT 2023

% Result   : Unsatisfiable 0.88s 0.64s
% Output   : CNFRefutation 0.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   66 (  28 unt;   0 nHn;  49 RR)
%            Number of literals    :  131 (   0 equ;  67 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :  105 (  56 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_126,axiom,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',rule_126) ).

cnf(axiom_17,axiom,
    q0(X1,d),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',axiom_17) ).

cnf(rule_125,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',rule_125) ).

cnf(axiom_14,axiom,
    p0(b,X1),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',axiom_14) ).

cnf(rule_001,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',rule_001) ).

cnf(axiom_3,axiom,
    n0(d,e),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',axiom_3) ).

cnf(rule_085,axiom,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',rule_085) ).

cnf(rule_174,axiom,
    ( p2(X1,X1,X1)
    | ~ n2(X1)
    | ~ k1(e) ),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',rule_174) ).

cnf(rule_137,axiom,
    ( n2(X1)
    | ~ p1(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',rule_137) ).

cnf(rule_133,axiom,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ s1(X3)
    | ~ m0(X4,X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',rule_133) ).

cnf(axiom_16,axiom,
    m0(c,b,a),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',axiom_16) ).

cnf(rule_240,axiom,
    ( n3(X1)
    | ~ p2(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',rule_240) ).

cnf(rule_258,axiom,
    ( q3(X1,X1)
    | ~ r2(X1)
    | ~ s1(X2)
    | ~ l2(X3,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',rule_258) ).

cnf(rule_298,axiom,
    ( r4(X1)
    | ~ n3(X1)
    | ~ q3(X2,X3)
    | ~ p0(X4,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',rule_298) ).

cnf(rule_124,axiom,
    ( r1(X1)
    | ~ q0(X1,X2)
    | ~ s0(d)
    | ~ q1(d,X2,d) ),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',rule_124) ).

cnf(axiom_1,axiom,
    s0(d),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',axiom_1) ).

cnf(rule_110,axiom,
    ( q1(X1,X1,X1)
    | ~ m0(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',rule_110) ).

cnf(axiom_19,axiom,
    m0(X1,d,X2),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',axiom_19) ).

cnf(rule_188,axiom,
    ( r2(X1)
    | ~ r1(X1)
    | ~ l0(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',rule_188) ).

cnf(axiom_24,axiom,
    l0(c),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',axiom_24) ).

cnf(prove_this,negated_conjecture,
    ~ r4(a),
    file('/export/starexec/sandbox/tmp/tmp.RmvBjPOXbA/E---3.1_22697.p',prove_this) ).

cnf(c_0_21,axiom,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    rule_126 ).

cnf(c_0_22,axiom,
    q0(X1,d),
    axiom_17 ).

cnf(c_0_23,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    rule_125 ).

cnf(c_0_24,axiom,
    p0(b,X1),
    axiom_14 ).

cnf(c_0_25,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    rule_001 ).

cnf(c_0_26,axiom,
    n0(d,e),
    axiom_3 ).

cnf(c_0_27,axiom,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    rule_085 ).

cnf(c_0_28,plain,
    ( s1(X1)
    | ~ s1(X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_29,plain,
    s1(b),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,axiom,
    ( p2(X1,X1,X1)
    | ~ n2(X1)
    | ~ k1(e) ),
    rule_174 ).

cnf(c_0_31,plain,
    k1(e),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_32,axiom,
    ( n2(X1)
    | ~ p1(X2,X3,X1) ),
    rule_137 ).

cnf(c_0_33,plain,
    p1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_27,c_0_24]) ).

cnf(c_0_34,axiom,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ s1(X3)
    | ~ m0(X4,X3,X1) ),
    rule_133 ).

cnf(c_0_35,plain,
    s1(X1),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_36,plain,
    ( p2(X1,X1,X1)
    | ~ n2(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).

cnf(c_0_37,plain,
    n2(X1),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_38,plain,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ m0(X3,X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).

cnf(c_0_39,axiom,
    m0(c,b,a),
    axiom_16 ).

cnf(c_0_40,axiom,
    ( n3(X1)
    | ~ p2(X2,X3,X1) ),
    rule_240 ).

cnf(c_0_41,plain,
    p2(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).

cnf(c_0_42,axiom,
    ( q3(X1,X1)
    | ~ r2(X1)
    | ~ s1(X2)
    | ~ l2(X3,X3) ),
    rule_258 ).

cnf(c_0_43,plain,
    ( l2(a,a)
    | ~ p0(X1,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,axiom,
    ( r4(X1)
    | ~ n3(X1)
    | ~ q3(X2,X3)
    | ~ p0(X4,X1) ),
    rule_298 ).

cnf(c_0_45,plain,
    n3(X1),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_46,plain,
    ( q3(X1,X1)
    | ~ r2(X1)
    | ~ l2(X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_35])]) ).

cnf(c_0_47,plain,
    l2(a,a),
    inference(spm,[status(thm)],[c_0_43,c_0_24]) ).

cnf(c_0_48,axiom,
    ( r1(X1)
    | ~ q0(X1,X2)
    | ~ s0(d)
    | ~ q1(d,X2,d) ),
    rule_124 ).

cnf(c_0_49,axiom,
    s0(d),
    axiom_1 ).

cnf(c_0_50,axiom,
    ( q1(X1,X1,X1)
    | ~ m0(X2,X3,X1) ),
    rule_110 ).

cnf(c_0_51,axiom,
    m0(X1,d,X2),
    axiom_19 ).

cnf(c_0_52,plain,
    ( r4(X1)
    | ~ q3(X2,X3)
    | ~ p0(X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]) ).

cnf(c_0_53,plain,
    ( q3(X1,X1)
    | ~ r2(X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_54,plain,
    ( r1(X1)
    | ~ q1(d,X2,d)
    | ~ q0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]) ).

cnf(c_0_55,plain,
    q1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_56,plain,
    ( r4(X1)
    | ~ r2(X2)
    | ~ p0(X3,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_57,axiom,
    ( r2(X1)
    | ~ r1(X1)
    | ~ l0(X1) ),
    rule_188 ).

cnf(c_0_58,plain,
    r1(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_22]),c_0_55])]) ).

cnf(c_0_59,plain,
    ( r4(X1)
    | ~ r2(X2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_24]) ).

cnf(c_0_60,plain,
    ( r2(X1)
    | ~ l0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).

cnf(c_0_61,plain,
    ( r4(X1)
    | ~ l0(X2) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_62,axiom,
    l0(c),
    axiom_24 ).

cnf(c_0_63,negated_conjecture,
    ~ r4(a),
    prove_this ).

cnf(c_0_64,plain,
    r4(X1),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_65,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.15  % Problem    : SYN192-1 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.16  % Command    : run_E %s %d THM
% 0.17/0.37  % Computer : n007.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit   : 2400
% 0.17/0.37  % WCLimit    : 300
% 0.17/0.37  % DateTime   : Mon Oct  2 18:09:09 EDT 2023
% 0.17/0.37  % CPUTime    : 
% 0.23/0.53  Running first-order theorem proving
% 0.23/0.53  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.RmvBjPOXbA/E---3.1_22697.p
% 0.88/0.64  # Version: 3.1pre001
% 0.88/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.88/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.88/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.88/0.64  # Starting new_bool_3 with 300s (1) cores
% 0.88/0.64  # Starting new_bool_1 with 300s (1) cores
% 0.88/0.64  # Starting sh5l with 300s (1) cores
% 0.88/0.64  # sh5l with pid 22847 completed with status 0
% 0.88/0.64  # Result found by sh5l
% 0.88/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.88/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.88/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.88/0.64  # Starting new_bool_3 with 300s (1) cores
% 0.88/0.64  # Starting new_bool_1 with 300s (1) cores
% 0.88/0.64  # Starting sh5l with 300s (1) cores
% 0.88/0.64  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.88/0.64  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.88/0.64  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.88/0.64  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.88/0.64  # SAT001_MinMin_p005000_rr_RG with pid 22857 completed with status 0
% 0.88/0.64  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.88/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.88/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.88/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.88/0.64  # Starting new_bool_3 with 300s (1) cores
% 0.88/0.64  # Starting new_bool_1 with 300s (1) cores
% 0.88/0.64  # Starting sh5l with 300s (1) cores
% 0.88/0.64  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.88/0.64  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.88/0.64  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.88/0.64  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.88/0.64  # Preprocessing time       : 0.005 s
% 0.88/0.64  # Presaturation interreduction done
% 0.88/0.64  
% 0.88/0.64  # Proof found!
% 0.88/0.64  # SZS status Unsatisfiable
% 0.88/0.64  # SZS output start CNFRefutation
% See solution above
% 0.88/0.64  # Parsed axioms                        : 369
% 0.88/0.64  # Removed by relevancy pruning/SinE    : 0
% 0.88/0.64  # Initial clauses                      : 369
% 0.88/0.64  # Removed in clause preprocessing      : 7
% 0.88/0.64  # Initial clauses in saturation        : 362
% 0.88/0.64  # Processed clauses                    : 948
% 0.88/0.64  # ...of these trivial                  : 36
% 0.88/0.64  # ...subsumed                          : 32
% 0.88/0.64  # ...remaining for further processing  : 880
% 0.88/0.64  # Other redundant clauses eliminated   : 0
% 0.88/0.64  # Clauses deleted for lack of memory   : 0
% 0.88/0.64  # Backward-subsumed                    : 38
% 0.88/0.64  # Backward-rewritten                   : 194
% 0.88/0.64  # Generated clauses                    : 975
% 0.88/0.64  # ...of the previous two non-redundant : 613
% 0.88/0.64  # ...aggressively subsumed             : 0
% 0.88/0.64  # Contextual simplify-reflections      : 2
% 0.88/0.64  # Paramodulations                      : 975
% 0.88/0.64  # Factorizations                       : 0
% 0.88/0.64  # NegExts                              : 0
% 0.88/0.64  # Equation resolutions                 : 0
% 0.88/0.64  # Total rewrite steps                  : 842
% 0.88/0.64  # Propositional unsat checks           : 0
% 0.88/0.64  #    Propositional check models        : 0
% 0.88/0.64  #    Propositional check unsatisfiable : 0
% 0.88/0.64  #    Propositional clauses             : 0
% 0.88/0.64  #    Propositional clauses after purity: 0
% 0.88/0.64  #    Propositional unsat core size     : 0
% 0.88/0.64  #    Propositional preprocessing time  : 0.000
% 0.88/0.64  #    Propositional encoding time       : 0.000
% 0.88/0.64  #    Propositional solver time         : 0.000
% 0.88/0.64  #    Success case prop preproc time    : 0.000
% 0.88/0.64  #    Success case prop encoding time   : 0.000
% 0.88/0.64  #    Success case prop solver time     : 0.000
% 0.88/0.64  # Current number of processed clauses  : 321
% 0.88/0.64  #    Positive orientable unit clauses  : 114
% 0.88/0.64  #    Positive unorientable unit clauses: 0
% 0.88/0.64  #    Negative unit clauses             : 0
% 0.88/0.64  #    Non-unit-clauses                  : 207
% 0.88/0.64  # Current number of unprocessed clauses: 285
% 0.88/0.64  # ...number of literals in the above   : 759
% 0.88/0.64  # Current number of archived formulas  : 0
% 0.88/0.64  # Current number of archived clauses   : 559
% 0.88/0.64  # Clause-clause subsumption calls (NU) : 42137
% 0.88/0.64  # Rec. Clause-clause subsumption calls : 29466
% 0.88/0.64  # Non-unit clause-clause subsumptions  : 65
% 0.88/0.64  # Unit Clause-clause subsumption calls : 2340
% 0.88/0.64  # Rewrite failures with RHS unbound    : 0
% 0.88/0.64  # BW rewrite match attempts            : 284
% 0.88/0.64  # BW rewrite match successes           : 136
% 0.88/0.64  # Condensation attempts                : 0
% 0.88/0.64  # Condensation successes               : 0
% 0.88/0.64  # Termbank termtop insertions          : 20379
% 0.88/0.64  
% 0.88/0.64  # -------------------------------------------------
% 0.88/0.64  # User time                : 0.081 s
% 0.88/0.64  # System time              : 0.009 s
% 0.88/0.64  # Total time               : 0.090 s
% 0.88/0.64  # Maximum resident set size: 2524 pages
% 0.88/0.64  
% 0.88/0.64  # -------------------------------------------------
% 0.88/0.64  # User time                : 0.090 s
% 0.88/0.64  # System time              : 0.011 s
% 0.88/0.64  # Total time               : 0.100 s
% 0.88/0.64  # Maximum resident set size: 1996 pages
% 0.88/0.64  % E---3.1 exiting
% 1.05/0.64  % E---3.1 exiting
%------------------------------------------------------------------------------