TSTP Solution File: LCL433-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL433-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 18:24:51 EDT 2023

% Result   : Unsatisfiable 14.42s 2.46s
% Output   : CNFRefutation 14.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (   7 unt;   0 nHn;  18 RR)
%            Number of literals    :   42 (   0 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   55 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_PropLog_Othms_OMP_0,axiom,
    ( c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.Mrg24JpeJo/E---3.1_20655.p',cls_PropLog_Othms_OMP_0) ).

cnf(cls_PropLog_Oweaken__left__insert_0,axiom,
    ( c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
    | ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.Mrg24JpeJo/E---3.1_20655.p',cls_PropLog_Oweaken__left__insert_0) ).

cnf(cls_PropLog_Othms_OH_0,axiom,
    ( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.Mrg24JpeJo/E---3.1_20655.p',cls_PropLog_Othms_OH_0) ).

cnf(cls_conjecture_4,negated_conjecture,
    ( c_in(X1,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Osat(v_F,X1,t_a) ),
    file('/export/starexec/sandbox/tmp/tmp.Mrg24JpeJo/E---3.1_20655.p',cls_conjecture_4) ).

cnf(cls_PropLog_Osat__imp_0,axiom,
    ( c_PropLog_Osat(X2,c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X3)
    | ~ c_PropLog_Osat(c_insert(X1,X2,tc_PropLog_Opl(X3)),X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Mrg24JpeJo/E---3.1_20655.p',cls_PropLog_Osat__imp_0) ).

cnf(cls_Set_OinsertCI_1,axiom,
    c_in(X1,c_insert(X1,X2,X3),X3),
    file('/export/starexec/sandbox/tmp/tmp.Mrg24JpeJo/E---3.1_20655.p',cls_Set_OinsertCI_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
    file('/export/starexec/sandbox/tmp/tmp.Mrg24JpeJo/E---3.1_20655.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/tmp/tmp.Mrg24JpeJo/E---3.1_20655.p',cls_conjecture_3) ).

cnf(c_0_8,axiom,
    ( c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    cls_PropLog_Othms_OMP_0 ).

cnf(c_0_9,axiom,
    ( c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
    | ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    cls_PropLog_Oweaken__left__insert_0 ).

cnf(c_0_10,plain,
    ( c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
    | ~ c_in(X5,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X5,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,axiom,
    ( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
    cls_PropLog_Othms_OH_0 ).

cnf(c_0_12,negated_conjecture,
    ( c_in(X1,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Osat(v_F,X1,t_a) ),
    cls_conjecture_4 ).

cnf(c_0_13,axiom,
    ( c_PropLog_Osat(X2,c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X3)
    | ~ c_PropLog_Osat(c_insert(X1,X2,tc_PropLog_Opl(X3)),X4,X3) ),
    cls_PropLog_Osat__imp_0 ).

cnf(c_0_14,plain,
    ( c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X5,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4))
    | ~ c_in(X5,c_insert(X2,X3,tc_PropLog_Opl(X4)),tc_PropLog_Opl(X4)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    ( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Osat(c_insert(X1,v_F,tc_PropLog_Opl(t_a)),X2,t_a) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    ( c_in(X1,c_PropLog_Othms(c_insert(X2,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Osat(c_insert(X3,v_F,tc_PropLog_Opl(t_a)),X1,t_a)
    | ~ c_in(X3,c_insert(X2,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,axiom,
    c_in(X1,c_insert(X1,X2,X3),X3),
    cls_Set_OinsertCI_1 ).

cnf(c_0_18,negated_conjecture,
    ( c_in(X1,c_PropLog_Othms(c_insert(X2,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Osat(c_insert(X2,v_F,tc_PropLog_Opl(t_a)),X1,t_a) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_19,negated_conjecture,
    c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
    cls_conjecture_2 ).

cnf(c_0_20,negated_conjecture,
    ~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    cls_conjecture_3 ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL433-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 12:33:39 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.36/0.59  Running first-order model finding
% 0.36/0.59  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.Mrg24JpeJo/E---3.1_20655.p
% 14.42/2.46  # Version: 3.1pre001
% 14.42/2.46  # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.42/2.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.42/2.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.42/2.46  # Starting new_bool_3 with 300s (1) cores
% 14.42/2.46  # Starting new_bool_1 with 300s (1) cores
% 14.42/2.46  # Starting sh5l with 300s (1) cores
% 14.42/2.46  # new_bool_1 with pid 20830 completed with status 0
% 14.42/2.46  # Result found by new_bool_1
% 14.42/2.46  # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.42/2.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.42/2.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.42/2.46  # Starting new_bool_3 with 300s (1) cores
% 14.42/2.46  # Starting new_bool_1 with 300s (1) cores
% 14.42/2.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 14.42/2.46  # Search class: FGHSM-FFMS32-MFFFFFNN
% 14.42/2.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 14.42/2.46  # Starting SAT001_MinMin_p005000_rr_RG with 100s (1) cores
% 14.42/2.46  # SAT001_MinMin_p005000_rr_RG with pid 20833 completed with status 0
% 14.42/2.46  # Result found by SAT001_MinMin_p005000_rr_RG
% 14.42/2.46  # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.42/2.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.42/2.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.42/2.46  # Starting new_bool_3 with 300s (1) cores
% 14.42/2.46  # Starting new_bool_1 with 300s (1) cores
% 14.42/2.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 14.42/2.46  # Search class: FGHSM-FFMS32-MFFFFFNN
% 14.42/2.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 14.42/2.46  # Starting SAT001_MinMin_p005000_rr_RG with 100s (1) cores
% 14.42/2.46  # Preprocessing time       : 0.009 s
% 14.42/2.46  # Presaturation interreduction done
% 14.42/2.46  
% 14.42/2.46  # Proof found!
% 14.42/2.46  # SZS status Unsatisfiable
% 14.42/2.46  # SZS output start CNFRefutation
% See solution above
% 14.42/2.46  # Parsed axioms                        : 1378
% 14.42/2.46  # Removed by relevancy pruning/SinE    : 1312
% 14.42/2.46  # Initial clauses                      : 66
% 14.42/2.46  # Removed in clause preprocessing      : 0
% 14.42/2.46  # Initial clauses in saturation        : 66
% 14.42/2.46  # Processed clauses                    : 7746
% 14.42/2.46  # ...of these trivial                  : 60
% 14.42/2.46  # ...subsumed                          : 4971
% 14.42/2.46  # ...remaining for further processing  : 2715
% 14.42/2.46  # Other redundant clauses eliminated   : 0
% 14.42/2.46  # Clauses deleted for lack of memory   : 0
% 14.42/2.46  # Backward-subsumed                    : 241
% 14.42/2.46  # Backward-rewritten                   : 39
% 14.42/2.46  # Generated clauses                    : 66454
% 14.42/2.46  # ...of the previous two non-redundant : 64689
% 14.42/2.46  # ...aggressively subsumed             : 0
% 14.42/2.46  # Contextual simplify-reflections      : 0
% 14.42/2.46  # Paramodulations                      : 66448
% 14.42/2.46  # Factorizations                       : 0
% 14.42/2.46  # NegExts                              : 0
% 14.42/2.46  # Equation resolutions                 : 6
% 14.42/2.46  # Total rewrite steps                  : 1713
% 14.42/2.46  # Propositional unsat checks           : 0
% 14.42/2.46  #    Propositional check models        : 0
% 14.42/2.46  #    Propositional check unsatisfiable : 0
% 14.42/2.46  #    Propositional clauses             : 0
% 14.42/2.46  #    Propositional clauses after purity: 0
% 14.42/2.46  #    Propositional unsat core size     : 0
% 14.42/2.46  #    Propositional preprocessing time  : 0.000
% 14.42/2.46  #    Propositional encoding time       : 0.000
% 14.42/2.46  #    Propositional solver time         : 0.000
% 14.42/2.46  #    Success case prop preproc time    : 0.000
% 14.42/2.46  #    Success case prop encoding time   : 0.000
% 14.42/2.46  #    Success case prop solver time     : 0.000
% 14.42/2.46  # Current number of processed clauses  : 2376
% 14.42/2.46  #    Positive orientable unit clauses  : 31
% 14.42/2.46  #    Positive unorientable unit clauses: 0
% 14.42/2.46  #    Negative unit clauses             : 13
% 14.42/2.46  #    Non-unit-clauses                  : 2332
% 14.42/2.46  # Current number of unprocessed clauses: 55472
% 14.42/2.46  # ...number of literals in the above   : 174514
% 14.42/2.46  # Current number of archived formulas  : 0
% 14.42/2.46  # Current number of archived clauses   : 339
% 14.42/2.46  # Clause-clause subsumption calls (NU) : 1050901
% 14.42/2.46  # Rec. Clause-clause subsumption calls : 568482
% 14.42/2.46  # Non-unit clause-clause subsumptions  : 5092
% 14.42/2.46  # Unit Clause-clause subsumption calls : 1140
% 14.42/2.46  # Rewrite failures with RHS unbound    : 0
% 14.42/2.46  # BW rewrite match attempts            : 1441
% 14.42/2.46  # BW rewrite match successes           : 33
% 14.42/2.46  # Condensation attempts                : 0
% 14.42/2.46  # Condensation successes               : 0
% 14.42/2.46  # Termbank termtop insertions          : 2487551
% 14.42/2.46  
% 14.42/2.46  # -------------------------------------------------
% 14.42/2.46  # User time                : 1.713 s
% 14.42/2.46  # System time              : 0.034 s
% 14.42/2.46  # Total time               : 1.747 s
% 14.42/2.46  # Maximum resident set size: 2800 pages
% 14.42/2.46  
% 14.42/2.46  # -------------------------------------------------
% 14.42/2.46  # User time                : 1.749 s
% 14.42/2.46  # System time              : 0.038 s
% 14.42/2.46  # Total time               : 1.787 s
% 14.42/2.46  # Maximum resident set size: 2408 pages
% 14.42/2.46  % E---3.1 exiting
%------------------------------------------------------------------------------