TSTP Solution File: SYN190-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN190-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 20:29:32 EDT 2023

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   69 (  31 unt;   0 nHn;  45 RR)
%            Number of literals    :  136 (   0 equ;  70 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :  116 (  45 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_126,axiom,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',rule_126) ).

cnf(axiom_17,axiom,
    q0(X1,d),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',axiom_17) ).

cnf(rule_125,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',rule_125) ).

cnf(axiom_14,axiom,
    p0(b,X1),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',axiom_14) ).

cnf(axiom_36,axiom,
    q0(a,b),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',axiom_36) ).

cnf(rule_085,axiom,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',rule_085) ).

cnf(rule_190,axiom,
    ( s2(d)
    | ~ s1(a)
    | ~ s0(d) ),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',rule_190) ).

cnf(axiom_1,axiom,
    s0(d),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',axiom_1) ).

cnf(rule_133,axiom,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ s1(X3)
    | ~ m0(X4,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',rule_133) ).

cnf(rule_082,axiom,
    ( p1(X1,X2,X3)
    | ~ m0(X3,X1,X4)
    | ~ p1(X3,X1,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',rule_082) ).

cnf(rule_005,axiom,
    ( m1(X1,X2,X1)
    | ~ m0(X2,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',rule_005) ).

cnf(axiom_19,axiom,
    m0(X1,d,X2),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',axiom_19) ).

cnf(rule_176,axiom,
    ( p2(X1,X2,X1)
    | ~ m1(X2,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',rule_176) ).

cnf(rule_225,axiom,
    ( m3(X1,X2,X1)
    | ~ m0(X3,X3,X2)
    | ~ l2(X4,X1)
    | ~ m0(X1,X4,X4)
    | ~ s2(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',rule_225) ).

cnf(rule_146,axiom,
    ( p2(X1,X2,X2)
    | ~ p1(X1,X3,X4)
    | ~ l1(X3,X4)
    | ~ p2(X1,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',rule_146) ).

cnf(rule_002,axiom,
    ( l1(X1,X1)
    | ~ n0(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',rule_002) ).

cnf(axiom_34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',axiom_34) ).

cnf(axiom_12,axiom,
    m0(a,X1,a),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',axiom_12) ).

cnf(rule_268,axiom,
    ( r3(X1,X1,X2)
    | ~ m2(X2)
    | ~ m3(X3,b,X1)
    | ~ r3(X2,X4,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',rule_268) ).

cnf(rule_267,axiom,
    ( r3(X1,X2,X1)
    | ~ p2(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',rule_267) ).

cnf(prove_this,negated_conjecture,
    ~ r3(a,X1,d),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',prove_this) ).

cnf(rule_135,axiom,
    ( m2(X1)
    | ~ s0(X1)
    | ~ l1(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p',rule_135) ).

cnf(c_0_22,axiom,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    rule_126 ).

cnf(c_0_23,axiom,
    q0(X1,d),
    axiom_17 ).

cnf(c_0_24,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    rule_125 ).

cnf(c_0_25,axiom,
    p0(b,X1),
    axiom_14 ).

cnf(c_0_26,axiom,
    q0(a,b),
    axiom_36 ).

cnf(c_0_27,plain,
    ( s1(X1)
    | ~ s1(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_28,plain,
    s1(b),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,axiom,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    rule_085 ).

cnf(c_0_30,axiom,
    ( s2(d)
    | ~ s1(a)
    | ~ s0(d) ),
    rule_190 ).

cnf(c_0_31,axiom,
    s0(d),
    axiom_1 ).

cnf(c_0_32,plain,
    ( s1(a)
    | ~ s1(X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_26]) ).

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_27,c_0_28]) ).

cnf(c_0_35,axiom,
    ( p1(X1,X2,X3)
    | ~ m0(X3,X1,X4)
    | ~ p1(X3,X1,X4) ),
    rule_082 ).

cnf(c_0_36,plain,
    p1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_29,c_0_25]) ).

cnf(c_0_37,axiom,
    ( m1(X1,X2,X1)
    | ~ m0(X2,X2,X1) ),
    rule_005 ).

cnf(c_0_38,axiom,
    m0(X1,d,X2),
    axiom_19 ).

cnf(c_0_39,plain,
    ( s2(d)
    | ~ s1(a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).

cnf(c_0_40,plain,
    s1(a),
    inference(spm,[status(thm)],[c_0_32,c_0_28]) ).

cnf(c_0_41,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_42,plain,
    ( p1(X1,X2,X1)
    | ~ m0(X1,X1,X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_43,axiom,
    ( p2(X1,X2,X1)
    | ~ m1(X2,X1,X2) ),
    rule_176 ).

cnf(c_0_44,plain,
    m1(X1,d,X1),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_45,axiom,
    ( m3(X1,X2,X1)
    | ~ m0(X3,X3,X2)
    | ~ l2(X4,X1)
    | ~ m0(X1,X4,X4)
    | ~ s2(X3) ),
    rule_225 ).

cnf(c_0_46,plain,
    s2(d),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).

cnf(c_0_47,plain,
    ( l2(X1,X1)
    | ~ p0(X2,X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_38]) ).

cnf(c_0_48,axiom,
    ( p2(X1,X2,X2)
    | ~ p1(X1,X3,X4)
    | ~ l1(X3,X4)
    | ~ p2(X1,X2,X1) ),
    rule_146 ).

cnf(c_0_49,plain,
    p1(d,X1,d),
    inference(spm,[status(thm)],[c_0_42,c_0_38]) ).

cnf(c_0_50,plain,
    p2(d,X1,d),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_51,axiom,
    ( l1(X1,X1)
    | ~ n0(X2,X1) ),
    rule_002 ).

cnf(c_0_52,axiom,
    n0(c,d),
    axiom_34 ).

cnf(c_0_53,plain,
    ( m3(X1,X2,X1)
    | ~ l2(X3,X1)
    | ~ m0(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_38]),c_0_46])]) ).

cnf(c_0_54,axiom,
    m0(a,X1,a),
    axiom_12 ).

cnf(c_0_55,plain,
    l2(X1,X1),
    inference(spm,[status(thm)],[c_0_47,c_0_25]) ).

cnf(c_0_56,plain,
    ( p2(d,X1,X1)
    | ~ l1(X2,d) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).

cnf(c_0_57,plain,
    l1(d,d),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_58,axiom,
    ( r3(X1,X1,X2)
    | ~ m2(X2)
    | ~ m3(X3,b,X1)
    | ~ r3(X2,X4,X4) ),
    rule_268 ).

cnf(c_0_59,plain,
    m3(a,X1,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).

cnf(c_0_60,axiom,
    ( r3(X1,X2,X1)
    | ~ p2(X1,X3,X2) ),
    rule_267 ).

cnf(c_0_61,plain,
    p2(d,X1,X1),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_62,plain,
    ( r3(a,a,X1)
    | ~ r3(X1,X2,X2)
    | ~ m2(X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_63,plain,
    r3(d,X1,d),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    ~ r3(a,X1,d),
    prove_this ).

cnf(c_0_65,axiom,
    ( m2(X1)
    | ~ s0(X1)
    | ~ l1(X2,X3) ),
    rule_135 ).

cnf(c_0_66,plain,
    ~ m2(d),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).

cnf(c_0_67,plain,
    ( m2(X1)
    | ~ s0(X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_57]) ).

cnf(c_0_68,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_31])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SYN190-1 : TPTP v8.1.2. Released v1.1.0.
% 0.09/0.13  % Command    : run_E %s %d THM
% 0.14/0.33  % Computer : n009.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 2400
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon Oct  2 18:16:44 EDT 2023
% 0.14/0.33  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.SmIvDrSA16/E---3.1_16225.p
% 0.20/0.58  # Version: 3.1pre001
% 0.20/0.58  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.58  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.58  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.58  # Starting sh5l with 300s (1) cores
% 0.20/0.58  # new_bool_1 with pid 16304 completed with status 0
% 0.20/0.58  # Result found by new_bool_1
% 0.20/0.58  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.58  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.58  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.58  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.58  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.20/0.58  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.58  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.58  # SAT001_MinMin_p005000_rr_RG with pid 16311 completed with status 0
% 0.20/0.58  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.58  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.58  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.58  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.58  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.58  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.20/0.58  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.58  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.58  # Preprocessing time       : 0.004 s
% 0.20/0.58  # Presaturation interreduction done
% 0.20/0.58  
% 0.20/0.58  # Proof found!
% 0.20/0.58  # SZS status Unsatisfiable
% 0.20/0.58  # SZS output start CNFRefutation
% See solution above
% 0.20/0.58  # Parsed axioms                        : 369
% 0.20/0.58  # Removed by relevancy pruning/SinE    : 38
% 0.20/0.58  # Initial clauses                      : 331
% 0.20/0.58  # Removed in clause preprocessing      : 5
% 0.20/0.58  # Initial clauses in saturation        : 326
% 0.20/0.58  # Processed clauses                    : 1493
% 0.20/0.58  # ...of these trivial                  : 81
% 0.20/0.58  # ...subsumed                          : 157
% 0.20/0.58  # ...remaining for further processing  : 1255
% 0.20/0.58  # Other redundant clauses eliminated   : 0
% 0.20/0.58  # Clauses deleted for lack of memory   : 0
% 0.20/0.58  # Backward-subsumed                    : 104
% 0.20/0.58  # Backward-rewritten                   : 289
% 0.20/0.58  # Generated clauses                    : 2242
% 0.20/0.58  # ...of the previous two non-redundant : 1511
% 0.20/0.58  # ...aggressively subsumed             : 0
% 0.20/0.58  # Contextual simplify-reflections      : 4
% 0.20/0.58  # Paramodulations                      : 2242
% 0.20/0.58  # Factorizations                       : 0
% 0.20/0.58  # NegExts                              : 0
% 0.20/0.58  # Equation resolutions                 : 0
% 0.20/0.58  # Total rewrite steps                  : 1624
% 0.20/0.58  # Propositional unsat checks           : 0
% 0.20/0.58  #    Propositional check models        : 0
% 0.20/0.58  #    Propositional check unsatisfiable : 0
% 0.20/0.58  #    Propositional clauses             : 0
% 0.20/0.58  #    Propositional clauses after purity: 0
% 0.20/0.58  #    Propositional unsat core size     : 0
% 0.20/0.58  #    Propositional preprocessing time  : 0.000
% 0.20/0.58  #    Propositional encoding time       : 0.000
% 0.20/0.58  #    Propositional solver time         : 0.000
% 0.20/0.58  #    Success case prop preproc time    : 0.000
% 0.20/0.58  #    Success case prop encoding time   : 0.000
% 0.20/0.58  #    Success case prop solver time     : 0.000
% 0.20/0.58  # Current number of processed clauses  : 570
% 0.20/0.58  #    Positive orientable unit clauses  : 226
% 0.20/0.58  #    Positive unorientable unit clauses: 0
% 0.20/0.58  #    Negative unit clauses             : 3
% 0.20/0.58  #    Non-unit-clauses                  : 341
% 0.20/0.58  # Current number of unprocessed clauses: 274
% 0.20/0.58  # ...number of literals in the above   : 877
% 0.20/0.58  # Current number of archived formulas  : 0
% 0.20/0.58  # Current number of archived clauses   : 685
% 0.20/0.58  # Clause-clause subsumption calls (NU) : 53820
% 0.20/0.58  # Rec. Clause-clause subsumption calls : 41701
% 0.20/0.58  # Non-unit clause-clause subsumptions  : 250
% 0.20/0.58  # Unit Clause-clause subsumption calls : 3273
% 0.20/0.58  # Rewrite failures with RHS unbound    : 0
% 0.20/0.58  # BW rewrite match attempts            : 669
% 0.20/0.58  # BW rewrite match successes           : 203
% 0.20/0.58  # Condensation attempts                : 0
% 0.20/0.58  # Condensation successes               : 0
% 0.20/0.58  # Termbank termtop insertions          : 33186
% 0.20/0.58  
% 0.20/0.58  # -------------------------------------------------
% 0.20/0.58  # User time                : 0.090 s
% 0.20/0.58  # System time              : 0.002 s
% 0.20/0.58  # Total time               : 0.092 s
% 0.20/0.58  # Maximum resident set size: 2480 pages
% 0.20/0.58  
% 0.20/0.58  # -------------------------------------------------
% 0.20/0.58  # User time                : 0.097 s
% 0.20/0.58  # System time              : 0.004 s
% 0.20/0.58  # Total time               : 0.100 s
% 0.20/0.58  # Maximum resident set size: 2000 pages
% 0.20/0.58  % E---3.1 exiting
%------------------------------------------------------------------------------