TSTP Solution File: LAT273-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LAT273-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 18:10:18 EDT 2023

% Result   : Unsatisfiable 12.86s 2.34s
% Output   : CNFRefutation 12.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (   9 unt;   3 nHn;  19 RR)
%            Number of literals    :   41 (   0 equ;  21 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-4 aty)
%            Number of variables   :   29 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0,axiom,
    ( c_in(c_Pair(X1,X6,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,c_Tarski_Ointerval(X4,X5,X6,X3),tc_set(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.KDDPxBODML/E---3.1_18507.p',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox2/tmp/tmp.KDDPxBODML/E---3.1_18507.p',cls_conjecture_2) ).

cnf(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1,axiom,
    ( c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
    | ~ c_in(X3,v_A,t_a)
    | ~ c_in(c_Pair(v_sko__4mi(X1,v_r,X3),X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/tmp/tmp.KDDPxBODML/E---3.1_18507.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_b,v_A,t_a),
    file('/export/starexec/sandbox2/tmp/tmp.KDDPxBODML/E---3.1_18507.p',cls_conjecture_1) ).

cnf(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0,axiom,
    ( c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mi(X1,v_r,X3),X1,t_a)
    | ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
    | ~ c_in(X3,v_A,t_a) ),
    file('/export/starexec/sandbox2/tmp/tmp.KDDPxBODML/E---3.1_18507.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
    file('/export/starexec/sandbox2/tmp/tmp.KDDPxBODML/E---3.1_18507.p',cls_conjecture_4) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/tmp/tmp.KDDPxBODML/E---3.1_18507.p',cls_conjecture_6) ).

cnf(c_0_7,axiom,
    ( c_in(c_Pair(X1,X6,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,c_Tarski_Ointerval(X4,X5,X6,X3),tc_set(X3)) ),
    cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0 ).

cnf(c_0_8,negated_conjecture,
    c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
    cls_conjecture_2 ).

cnf(c_0_9,axiom,
    ( c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
    | ~ c_in(X3,v_A,t_a)
    | ~ c_in(c_Pair(v_sko__4mi(X1,v_r,X3),X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1 ).

cnf(c_0_10,negated_conjecture,
    ( c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(X1,v_S,t_a) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    c_in(v_b,v_A,t_a),
    cls_conjecture_1 ).

cnf(c_0_12,axiom,
    ( c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mi(X1,v_r,X3),X1,t_a)
    | ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
    | ~ c_in(X3,v_A,t_a) ),
    cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0 ).

cnf(c_0_13,negated_conjecture,
    c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
    cls_conjecture_4 ).

cnf(c_0_14,negated_conjecture,
    ( c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_Tarski_OisLub(X2,v_cl,X1,t_a)
    | ~ c_in(v_sko__4mi(X2,v_r,v_b),v_S,t_a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).

cnf(c_0_15,negated_conjecture,
    ( c_in(c_Pair(v_L,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mi(v_S,v_r,X1),v_S,t_a)
    | ~ c_in(X1,v_A,t_a) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    cls_conjecture_6 ).

cnf(c_0_17,negated_conjecture,
    ( c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_Tarski_OisLub(v_S,v_cl,X1,t_a) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_11])]),c_0_16]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_16]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : LAT273-1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n012.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 10:20:50 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.62  Running first-order model finding
% 0.16/0.62  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.KDDPxBODML/E---3.1_18507.p
% 12.86/2.34  # Version: 3.1pre001
% 12.86/2.34  # Preprocessing class: FMLMSMSMSSSNFFN.
% 12.86/2.34  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.86/2.34  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.86/2.34  # Starting new_bool_3 with 300s (1) cores
% 12.86/2.34  # Starting new_bool_1 with 300s (1) cores
% 12.86/2.34  # Starting sh5l with 300s (1) cores
% 12.86/2.34  # sh5l with pid 18594 completed with status 0
% 12.86/2.34  # Result found by sh5l
% 12.86/2.34  # Preprocessing class: FMLMSMSMSSSNFFN.
% 12.86/2.34  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.86/2.34  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.86/2.34  # Starting new_bool_3 with 300s (1) cores
% 12.86/2.34  # Starting new_bool_1 with 300s (1) cores
% 12.86/2.34  # Starting sh5l with 300s (1) cores
% 12.86/2.34  # SinE strategy is gf500_gu_R04_F100_L20000
% 12.86/2.34  # Search class: FGHSM-SMLM32-DFFFFFNN
% 12.86/2.34  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 12.86/2.34  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 23s (1) cores
% 12.86/2.34  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 18597 completed with status 0
% 12.86/2.34  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 12.86/2.34  # Preprocessing class: FMLMSMSMSSSNFFN.
% 12.86/2.34  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.86/2.34  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.86/2.34  # Starting new_bool_3 with 300s (1) cores
% 12.86/2.34  # Starting new_bool_1 with 300s (1) cores
% 12.86/2.34  # Starting sh5l with 300s (1) cores
% 12.86/2.34  # SinE strategy is gf500_gu_R04_F100_L20000
% 12.86/2.34  # Search class: FGHSM-SMLM32-DFFFFFNN
% 12.86/2.34  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 12.86/2.34  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 23s (1) cores
% 12.86/2.34  # Preprocessing time       : 0.023 s
% 12.86/2.34  # Presaturation interreduction done
% 12.86/2.34  
% 12.86/2.34  # Proof found!
% 12.86/2.34  # SZS status Unsatisfiable
% 12.86/2.34  # SZS output start CNFRefutation
% See solution above
% 12.86/2.34  # Parsed axioms                        : 2758
% 12.86/2.34  # Removed by relevancy pruning/SinE    : 238
% 12.86/2.34  # Initial clauses                      : 2520
% 12.86/2.34  # Removed in clause preprocessing      : 1
% 12.86/2.34  # Initial clauses in saturation        : 2519
% 12.86/2.34  # Processed clauses                    : 11145
% 12.86/2.34  # ...of these trivial                  : 60
% 12.86/2.34  # ...subsumed                          : 5437
% 12.86/2.34  # ...remaining for further processing  : 5648
% 12.86/2.34  # Other redundant clauses eliminated   : 149
% 12.86/2.34  # Clauses deleted for lack of memory   : 0
% 12.86/2.34  # Backward-subsumed                    : 67
% 12.86/2.34  # Backward-rewritten                   : 206
% 12.86/2.34  # Generated clauses                    : 27878
% 12.86/2.34  # ...of the previous two non-redundant : 24185
% 12.86/2.34  # ...aggressively subsumed             : 0
% 12.86/2.34  # Contextual simplify-reflections      : 15
% 12.86/2.34  # Paramodulations                      : 27691
% 12.86/2.34  # Factorizations                       : 3
% 12.86/2.34  # NegExts                              : 0
% 12.86/2.34  # Equation resolutions                 : 184
% 12.86/2.34  # Total rewrite steps                  : 13306
% 12.86/2.34  # Propositional unsat checks           : 1
% 12.86/2.34  #    Propositional check models        : 1
% 12.86/2.34  #    Propositional check unsatisfiable : 0
% 12.86/2.34  #    Propositional clauses             : 0
% 12.86/2.34  #    Propositional clauses after purity: 0
% 12.86/2.34  #    Propositional unsat core size     : 0
% 12.86/2.34  #    Propositional preprocessing time  : 0.000
% 12.86/2.34  #    Propositional encoding time       : 0.036
% 12.86/2.34  #    Propositional solver time         : 0.024
% 12.86/2.34  #    Success case prop preproc time    : 0.000
% 12.86/2.34  #    Success case prop encoding time   : 0.000
% 12.86/2.34  #    Success case prop solver time     : 0.000
% 12.86/2.34  # Current number of processed clauses  : 2960
% 12.86/2.34  #    Positive orientable unit clauses  : 489
% 12.86/2.34  #    Positive unorientable unit clauses: 7
% 12.86/2.34  #    Negative unit clauses             : 149
% 12.86/2.34  #    Non-unit-clauses                  : 2315
% 12.86/2.34  # Current number of unprocessed clauses: 17914
% 12.86/2.34  # ...number of literals in the above   : 65488
% 12.86/2.34  # Current number of archived formulas  : 0
% 12.86/2.34  # Current number of archived clauses   : 2688
% 12.86/2.34  # Clause-clause subsumption calls (NU) : 4734862
% 12.86/2.34  # Rec. Clause-clause subsumption calls : 3137614
% 12.86/2.34  # Non-unit clause-clause subsumptions  : 3752
% 12.86/2.34  # Unit Clause-clause subsumption calls : 135134
% 12.86/2.34  # Rewrite failures with RHS unbound    : 0
% 12.86/2.34  # BW rewrite match attempts            : 863
% 12.86/2.34  # BW rewrite match successes           : 58
% 12.86/2.34  # Condensation attempts                : 0
% 12.86/2.34  # Condensation successes               : 0
% 12.86/2.34  # Termbank termtop insertions          : 627586
% 12.86/2.34  
% 12.86/2.34  # -------------------------------------------------
% 12.86/2.34  # User time                : 1.584 s
% 12.86/2.34  # System time              : 0.035 s
% 12.86/2.34  # Total time               : 1.619 s
% 12.86/2.34  # Maximum resident set size: 6696 pages
% 12.86/2.34  
% 12.86/2.34  # -------------------------------------------------
% 12.86/2.34  # User time                : 1.632 s
% 12.86/2.34  # System time              : 0.040 s
% 12.86/2.34  # Total time               : 1.671 s
% 12.86/2.34  # Maximum resident set size: 3500 pages
% 12.86/2.34  % E---3.1 exiting
%------------------------------------------------------------------------------