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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---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 : n024.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 18:08:14 EDT 2023

% Result   : Unsatisfiable 12.41s 2.51s
% Output   : CNFRefutation 12.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  10 unt;   3 nHn;  20 RR)
%            Number of literals    :   42 (   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/sandbox/tmp/tmp.kz1M5HeeIe/E---3.1_32082.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/sandbox/tmp/tmp.kz1M5HeeIe/E---3.1_32082.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_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/sandbox/tmp/tmp.kz1M5HeeIe/E---3.1_32082.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/sandbox/tmp/tmp.kz1M5HeeIe/E---3.1_32082.p',cls_conjecture_4) ).

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/sandbox/tmp/tmp.kz1M5HeeIe/E---3.1_32082.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/sandbox/tmp/tmp.kz1M5HeeIe/E---3.1_32082.p',cls_conjecture_1) ).

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/sandbox/tmp/tmp.kz1M5HeeIe/E---3.1_32082.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_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_10,negated_conjecture,
    c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
    cls_conjecture_4 ).

cnf(c_0_11,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_12,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_13,negated_conjecture,
    c_in(v_b,v_A,t_a),
    cls_conjecture_1 ).

cnf(c_0_14,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_9,c_0_10]) ).

cnf(c_0_15,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_16,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_11,c_0_12]),c_0_13])]) ).

cnf(c_0_17,negated_conjecture,
    c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_13]),c_0_15]) ).

cnf(c_0_18,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(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_10]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.31  % Problem    : LAT273-1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.32  % Command    : run_E %s %d THM
% 0.31/0.52  % Computer : n024.cluster.edu
% 0.31/0.52  % Model    : x86_64 x86_64
% 0.31/0.52  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.31/0.52  % Memory   : 8042.1875MB
% 0.31/0.52  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.31/0.52  % CPULimit   : 2400
% 0.31/0.52  % WCLimit    : 300
% 0.31/0.52  % DateTime   : Mon Oct  2 10:01:57 EDT 2023
% 0.31/0.52  % CPUTime    : 
% 0.65/0.92  Running first-order theorem proving
% 0.65/0.92  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.kz1M5HeeIe/E---3.1_32082.p
% 12.41/2.51  # Version: 3.1pre001
% 12.41/2.51  # Preprocessing class: FMLMSMSMSSSNFFN.
% 12.41/2.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.41/2.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.41/2.51  # Starting new_bool_3 with 300s (1) cores
% 12.41/2.51  # Starting new_bool_1 with 300s (1) cores
% 12.41/2.51  # Starting sh5l with 300s (1) cores
% 12.41/2.51  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 32162 completed with status 0
% 12.41/2.51  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 12.41/2.51  # Preprocessing class: FMLMSMSMSSSNFFN.
% 12.41/2.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.41/2.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.41/2.51  # No SInE strategy applied
% 12.41/2.51  # Search class: FGHSM-SMLM33-DFFFFFNN
% 12.41/2.51  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 12.41/2.51  # Starting SAT001_MinMin_p005000_rr with 811s (1) cores
% 12.41/2.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 12.41/2.51  # Starting SAT001_CA_MinMin_p005000_rr with 136s (1) cores
% 12.41/2.51  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 12.41/2.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 136s (1) cores
% 12.41/2.51  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 32170 completed with status 0
% 12.41/2.51  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 12.41/2.51  # Preprocessing class: FMLMSMSMSSSNFFN.
% 12.41/2.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.41/2.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.41/2.51  # No SInE strategy applied
% 12.41/2.51  # Search class: FGHSM-SMLM33-DFFFFFNN
% 12.41/2.51  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 12.41/2.51  # Starting SAT001_MinMin_p005000_rr with 811s (1) cores
% 12.41/2.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 12.41/2.51  # Preprocessing time       : 0.025 s
% 12.41/2.51  # Presaturation interreduction done
% 12.41/2.51  
% 12.41/2.51  # Proof found!
% 12.41/2.51  # SZS status Unsatisfiable
% 12.41/2.51  # SZS output start CNFRefutation
% See solution above
% 12.41/2.51  # Parsed axioms                        : 2758
% 12.41/2.51  # Removed by relevancy pruning/SinE    : 0
% 12.41/2.51  # Initial clauses                      : 2758
% 12.41/2.51  # Removed in clause preprocessing      : 9
% 12.41/2.51  # Initial clauses in saturation        : 2749
% 12.41/2.51  # Processed clauses                    : 9231
% 12.41/2.51  # ...of these trivial                  : 53
% 12.41/2.51  # ...subsumed                          : 3468
% 12.41/2.51  # ...remaining for further processing  : 5710
% 12.41/2.51  # Other redundant clauses eliminated   : 161
% 12.41/2.51  # Clauses deleted for lack of memory   : 0
% 12.41/2.51  # Backward-subsumed                    : 58
% 12.41/2.51  # Backward-rewritten                   : 70
% 12.41/2.51  # Generated clauses                    : 24367
% 12.41/2.51  # ...of the previous two non-redundant : 20854
% 12.41/2.51  # ...aggressively subsumed             : 0
% 12.41/2.51  # Contextual simplify-reflections      : 10
% 12.41/2.51  # Paramodulations                      : 24158
% 12.41/2.51  # Factorizations                       : 1
% 12.41/2.51  # NegExts                              : 0
% 12.41/2.51  # Equation resolutions                 : 208
% 12.41/2.51  # Total rewrite steps                  : 11228
% 12.41/2.51  # Propositional unsat checks           : 1
% 12.41/2.51  #    Propositional check models        : 1
% 12.41/2.51  #    Propositional check unsatisfiable : 0
% 12.41/2.51  #    Propositional clauses             : 0
% 12.41/2.51  #    Propositional clauses after purity: 0
% 12.41/2.51  #    Propositional unsat core size     : 0
% 12.41/2.51  #    Propositional preprocessing time  : 0.000
% 12.41/2.51  #    Propositional encoding time       : 0.019
% 12.41/2.51  #    Propositional solver time         : 0.017
% 12.41/2.51  #    Success case prop preproc time    : 0.000
% 12.41/2.51  #    Success case prop encoding time   : 0.000
% 12.41/2.51  #    Success case prop solver time     : 0.000
% 12.41/2.51  # Current number of processed clauses  : 2959
% 12.41/2.51  #    Positive orientable unit clauses  : 628
% 12.41/2.51  #    Positive unorientable unit clauses: 8
% 12.41/2.51  #    Negative unit clauses             : 98
% 12.41/2.51  #    Non-unit-clauses                  : 2225
% 12.41/2.51  # Current number of unprocessed clauses: 16941
% 12.41/2.51  # ...number of literals in the above   : 61324
% 12.41/2.51  # Current number of archived formulas  : 0
% 12.41/2.51  # Current number of archived clauses   : 2759
% 12.41/2.51  # Clause-clause subsumption calls (NU) : 4360827
% 12.41/2.51  # Rec. Clause-clause subsumption calls : 2791510
% 12.41/2.51  # Non-unit clause-clause subsumptions  : 3035
% 12.41/2.51  # Unit Clause-clause subsumption calls : 172135
% 12.41/2.51  # Rewrite failures with RHS unbound    : 0
% 12.41/2.51  # BW rewrite match attempts            : 917
% 12.41/2.51  # BW rewrite match successes           : 49
% 12.41/2.51  # Condensation attempts                : 0
% 12.41/2.51  # Condensation successes               : 0
% 12.41/2.51  # Termbank termtop insertions          : 543800
% 12.41/2.51  
% 12.41/2.51  # -------------------------------------------------
% 12.41/2.51  # User time                : 1.456 s
% 12.41/2.51  # System time              : 0.043 s
% 12.41/2.51  # Total time               : 1.500 s
% 12.41/2.51  # Maximum resident set size: 6376 pages
% 12.41/2.51  
% 12.41/2.51  # -------------------------------------------------
% 12.41/2.51  # User time                : 7.044 s
% 12.41/2.51  # System time              : 0.156 s
% 12.41/2.51  # Total time               : 7.200 s
% 12.41/2.51  # Maximum resident set size: 3500 pages
% 12.41/2.51  % E---3.1 exiting
% 12.41/2.51  % E---3.1 exiting
%------------------------------------------------------------------------------