TSTP Solution File: SCT023-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SCT023-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 19:17:08 EDT 2023

% Result   : Unsatisfiable 0.34s 0.68s
% Output   : CNFRefutation 0.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  11 unt;   4 nHn;  17 RR)
%            Number of literals    :   35 (   6 equ;  15 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-4 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_trans__def_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Otrans(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.oHlW2KWLdD/E---3.1_3968.p',cls_trans__def_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    file('/export/starexec/sandbox2/tmp/tmp.oHlW2KWLdD/E---3.1_3968.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox2/tmp/tmp.oHlW2KWLdD/E---3.1_3968.p',cls_conjecture_3) ).

cnf(cls_conjecture_4,negated_conjecture,
    ~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    file('/export/starexec/sandbox2/tmp/tmp.oHlW2KWLdD/E---3.1_3968.p',cls_conjecture_4) ).

cnf(cls_conjecture_8,negated_conjecture,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/tmp/tmp.oHlW2KWLdD/E---3.1_3968.p',cls_conjecture_8) ).

cnf(cls_conjecture_6,negated_conjecture,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.oHlW2KWLdD/E---3.1_3968.p',cls_conjecture_6) ).

cnf(cls_conjecture_5,negated_conjecture,
    ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    file('/export/starexec/sandbox2/tmp/tmp.oHlW2KWLdD/E---3.1_3968.p',cls_conjecture_5) ).

cnf(c_0_7,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Otrans(X4,X3) ),
    cls_trans__def_0 ).

cnf(c_0_8,negated_conjecture,
    c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    cls_conjecture_2 ).

cnf(c_0_9,negated_conjecture,
    c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt),
    cls_conjecture_3 ).

cnf(c_0_10,negated_conjecture,
    ~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    cls_conjecture_4 ).

cnf(c_0_11,negated_conjecture,
    ( c_in(c_Pair(X1,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

cnf(c_0_12,negated_conjecture,
    ~ c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,negated_conjecture,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    cls_conjecture_8 ).

cnf(c_0_14,negated_conjecture,
    ( v_b = v_a
    | ~ c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,negated_conjecture,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X1 ),
    cls_conjecture_6 ).

cnf(c_0_16,negated_conjecture,
    ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    cls_conjecture_5 ).

cnf(c_0_17,negated_conjecture,
    v_b = v_a,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_17]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SCT023-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.10  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n008.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Oct  2 11:27:58 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.49  Running first-order model finding
% 0.16/0.49  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.oHlW2KWLdD/E---3.1_3968.p
% 0.34/0.68  # Version: 3.1pre001
% 0.34/0.68  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.34/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.68  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.34/0.68  # Starting new_bool_3 with 300s (1) cores
% 0.34/0.68  # Starting new_bool_1 with 300s (1) cores
% 0.34/0.68  # Starting sh5l with 300s (1) cores
% 0.34/0.68  # new_bool_1 with pid 4117 completed with status 0
% 0.34/0.68  # Result found by new_bool_1
% 0.34/0.68  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.34/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.68  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.34/0.68  # Starting new_bool_3 with 300s (1) cores
% 0.34/0.68  # Starting new_bool_1 with 300s (1) cores
% 0.34/0.68  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.34/0.68  # Search class: FGHSM-FSLF32-MFFFFFNN
% 0.34/0.68  # partial match(1): FGHSM-FSLM32-MFFFFFNN
% 0.34/0.68  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.34/0.68  # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 0.34/0.68  # G-E--_303_C18_F1_URBAN_S0Y with pid 4120 completed with status 0
% 0.34/0.68  # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 0.34/0.68  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.34/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.68  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.34/0.68  # Starting new_bool_3 with 300s (1) cores
% 0.34/0.68  # Starting new_bool_1 with 300s (1) cores
% 0.34/0.68  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.34/0.68  # Search class: FGHSM-FSLF32-MFFFFFNN
% 0.34/0.68  # partial match(1): FGHSM-FSLM32-MFFFFFNN
% 0.34/0.68  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.34/0.68  # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 0.34/0.68  # Preprocessing time       : 0.047 s
% 0.34/0.68  
% 0.34/0.68  # Proof found!
% 0.34/0.68  # SZS status Unsatisfiable
% 0.34/0.68  # SZS output start CNFRefutation
% See solution above
% 0.34/0.68  # Parsed axioms                        : 605
% 0.34/0.68  # Removed by relevancy pruning/SinE    : 273
% 0.34/0.68  # Initial clauses                      : 332
% 0.34/0.68  # Removed in clause preprocessing      : 0
% 0.34/0.68  # Initial clauses in saturation        : 332
% 0.34/0.68  # Processed clauses                    : 435
% 0.34/0.68  # ...of these trivial                  : 19
% 0.34/0.68  # ...subsumed                          : 87
% 0.34/0.68  # ...remaining for further processing  : 329
% 0.34/0.68  # Other redundant clauses eliminated   : 1
% 0.34/0.68  # Clauses deleted for lack of memory   : 0
% 0.34/0.68  # Backward-subsumed                    : 1
% 0.34/0.68  # Backward-rewritten                   : 6
% 0.34/0.68  # Generated clauses                    : 4385
% 0.34/0.68  # ...of the previous two non-redundant : 3668
% 0.34/0.68  # ...aggressively subsumed             : 0
% 0.34/0.68  # Contextual simplify-reflections      : 2
% 0.34/0.68  # Paramodulations                      : 4373
% 0.34/0.68  # Factorizations                       : 4
% 0.34/0.68  # NegExts                              : 0
% 0.34/0.68  # Equation resolutions                 : 8
% 0.34/0.68  # Total rewrite steps                  : 1683
% 0.34/0.68  # Propositional unsat checks           : 0
% 0.34/0.68  #    Propositional check models        : 0
% 0.34/0.68  #    Propositional check unsatisfiable : 0
% 0.34/0.68  #    Propositional clauses             : 0
% 0.34/0.68  #    Propositional clauses after purity: 0
% 0.34/0.68  #    Propositional unsat core size     : 0
% 0.34/0.68  #    Propositional preprocessing time  : 0.000
% 0.34/0.68  #    Propositional encoding time       : 0.000
% 0.34/0.68  #    Propositional solver time         : 0.000
% 0.34/0.68  #    Success case prop preproc time    : 0.000
% 0.34/0.68  #    Success case prop encoding time   : 0.000
% 0.34/0.68  #    Success case prop solver time     : 0.000
% 0.34/0.68  # Current number of processed clauses  : 322
% 0.34/0.68  #    Positive orientable unit clauses  : 113
% 0.34/0.68  #    Positive unorientable unit clauses: 6
% 0.34/0.68  #    Negative unit clauses             : 12
% 0.34/0.68  #    Non-unit-clauses                  : 191
% 0.34/0.68  # Current number of unprocessed clauses: 3562
% 0.34/0.68  # ...number of literals in the above   : 7674
% 0.34/0.68  # Current number of archived formulas  : 0
% 0.34/0.68  # Current number of archived clauses   : 7
% 0.34/0.68  # Clause-clause subsumption calls (NU) : 6282
% 0.34/0.68  # Rec. Clause-clause subsumption calls : 5586
% 0.34/0.68  # Non-unit clause-clause subsumptions  : 56
% 0.34/0.68  # Unit Clause-clause subsumption calls : 555
% 0.34/0.68  # Rewrite failures with RHS unbound    : 0
% 0.34/0.68  # BW rewrite match attempts            : 59
% 0.34/0.68  # BW rewrite match successes           : 40
% 0.34/0.68  # Condensation attempts                : 0
% 0.34/0.68  # Condensation successes               : 0
% 0.34/0.68  # Termbank termtop insertions          : 89305
% 0.34/0.68  
% 0.34/0.68  # -------------------------------------------------
% 0.34/0.68  # User time                : 0.140 s
% 0.34/0.68  # System time              : 0.014 s
% 0.34/0.68  # Total time               : 0.155 s
% 0.34/0.68  # Maximum resident set size: 2612 pages
% 0.34/0.68  
% 0.34/0.68  # -------------------------------------------------
% 0.34/0.68  # User time                : 0.157 s
% 0.34/0.68  # System time              : 0.017 s
% 0.34/0.68  # Total time               : 0.174 s
% 0.34/0.68  # Maximum resident set size: 2148 pages
% 0.34/0.68  % E---3.1 exiting
%------------------------------------------------------------------------------