TSTP Solution File: LAT273-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : LAT273-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 23:26:28 EDT 2024

% Result   : Unsatisfiable 7.37s 1.40s
% Output   : CNFRefutation 7.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   24 (  11 unt;   4 nHn;  24 RR)
%            Number of literals    :   54 (   0 equ;  29 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   :   41 (   3 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/benchmark/Axioms/LAT006-2.ax',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_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/benchmark/Axioms/LAT006-2.ax',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_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/benchmark/Axioms/LAT006-2.ax',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_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/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.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/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_b,v_A,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_0_7,plain,
    ( 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)) ),
    inference(fof_simplification,[status(thm)],[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,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[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_9,plain,
    ( 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)) ),
    inference(fof_simplification,[status(thm)],[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,plain,
    ( 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)) ),
    c_0_7 ).

cnf(c_0_11,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_12,plain,
    ( 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) ),
    c_0_8 ).

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(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).

cnf(c_0_15,plain,
    ( 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)) ),
    c_0_9 ).

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_in(X1,v_S,t_a) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    c_in(v_b,v_A,t_a),
    cls_conjecture_1 ).

cnf(c_0_18,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_19,negated_conjecture,
    ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    c_0_14 ).

cnf(c_0_20,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_15,c_0_16]),c_0_17])]) ).

cnf(c_0_21,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_18,c_0_17]),c_0_19]) ).

cnf(c_0_22,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_20,c_0_21]) ).

cnf(c_0_23,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_13]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : LAT273-1 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.11  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n032.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Sun May 19 19:38:08 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.14/0.38  Running first-order model finding
% 0.14/0.39  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/benchmark/theBenchmark.p
% 7.37/1.40  # Version: 3.1.0
% 7.37/1.40  # Preprocessing class: FMLMSMSMSSSNFFN.
% 7.37/1.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.37/1.40  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.37/1.40  # Starting new_bool_3 with 300s (1) cores
% 7.37/1.40  # Starting new_bool_1 with 300s (1) cores
% 7.37/1.40  # Starting sh5l with 300s (1) cores
% 7.37/1.40  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23815 completed with status 0
% 7.37/1.40  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 7.37/1.40  # Preprocessing class: FMLMSMSMSSSNFFN.
% 7.37/1.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.37/1.40  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.37/1.40  # No SInE strategy applied
% 7.37/1.40  # Search class: FGHSM-SMLM33-DFFFFFNN
% 7.37/1.40  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 7.37/1.40  # Starting SAT001_MinMin_p005000_rr with 811s (1) cores
% 7.37/1.40  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.37/1.40  # Starting SAT001_CA_MinMin_p005000_rr with 136s (1) cores
% 7.37/1.40  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 7.37/1.40  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 136s (1) cores
% 7.37/1.40  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23823 completed with status 0
% 7.37/1.40  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 7.37/1.40  # Preprocessing class: FMLMSMSMSSSNFFN.
% 7.37/1.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.37/1.40  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.37/1.40  # No SInE strategy applied
% 7.37/1.40  # Search class: FGHSM-SMLM33-DFFFFFNN
% 7.37/1.40  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 7.37/1.40  # Starting SAT001_MinMin_p005000_rr with 811s (1) cores
% 7.37/1.40  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.37/1.40  # Preprocessing time       : 0.018 s
% 7.37/1.40  # Presaturation interreduction done
% 7.37/1.40  
% 7.37/1.40  # Proof found!
% 7.37/1.40  # SZS status Unsatisfiable
% 7.37/1.40  # SZS output start CNFRefutation
% See solution above
% 7.37/1.40  # Parsed axioms                        : 2758
% 7.37/1.40  # Removed by relevancy pruning/SinE    : 0
% 7.37/1.40  # Initial clauses                      : 2758
% 7.37/1.40  # Removed in clause preprocessing      : 9
% 7.37/1.40  # Initial clauses in saturation        : 2749
% 7.37/1.40  # Processed clauses                    : 9231
% 7.37/1.40  # ...of these trivial                  : 53
% 7.37/1.40  # ...subsumed                          : 3468
% 7.37/1.40  # ...remaining for further processing  : 5710
% 7.37/1.40  # Other redundant clauses eliminated   : 161
% 7.37/1.40  # Clauses deleted for lack of memory   : 0
% 7.37/1.40  # Backward-subsumed                    : 58
% 7.37/1.40  # Backward-rewritten                   : 70
% 7.37/1.40  # Generated clauses                    : 24367
% 7.37/1.40  # ...of the previous two non-redundant : 20854
% 7.37/1.40  # ...aggressively subsumed             : 0
% 7.37/1.40  # Contextual simplify-reflections      : 10
% 7.37/1.40  # Paramodulations                      : 24158
% 7.37/1.40  # Factorizations                       : 1
% 7.37/1.40  # NegExts                              : 0
% 7.37/1.40  # Equation resolutions                 : 208
% 7.37/1.40  # Disequality decompositions           : 0
% 7.37/1.40  # Total rewrite steps                  : 11228
% 7.37/1.40  # ...of those cached                   : 9712
% 7.37/1.40  # Propositional unsat checks           : 1
% 7.37/1.40  #    Propositional check models        : 1
% 7.37/1.40  #    Propositional check unsatisfiable : 0
% 7.37/1.40  #    Propositional clauses             : 0
% 7.37/1.40  #    Propositional clauses after purity: 0
% 7.37/1.40  #    Propositional unsat core size     : 0
% 7.37/1.40  #    Propositional preprocessing time  : 0.000
% 7.37/1.40  #    Propositional encoding time       : 0.012
% 7.37/1.40  #    Propositional solver time         : 0.011
% 7.37/1.40  #    Success case prop preproc time    : 0.000
% 7.37/1.40  #    Success case prop encoding time   : 0.000
% 7.37/1.40  #    Success case prop solver time     : 0.000
% 7.37/1.40  # Current number of processed clauses  : 2959
% 7.37/1.40  #    Positive orientable unit clauses  : 628
% 7.37/1.40  #    Positive unorientable unit clauses: 8
% 7.37/1.40  #    Negative unit clauses             : 98
% 7.37/1.40  #    Non-unit-clauses                  : 2225
% 7.37/1.40  # Current number of unprocessed clauses: 16941
% 7.37/1.40  # ...number of literals in the above   : 61324
% 7.37/1.40  # Current number of archived formulas  : 0
% 7.37/1.40  # Current number of archived clauses   : 2759
% 7.37/1.40  # Clause-clause subsumption calls (NU) : 4360820
% 7.37/1.40  # Rec. Clause-clause subsumption calls : 2791503
% 7.37/1.40  # Non-unit clause-clause subsumptions  : 3035
% 7.37/1.40  # Unit Clause-clause subsumption calls : 172135
% 7.37/1.40  # Rewrite failures with RHS unbound    : 0
% 7.37/1.40  # BW rewrite match attempts            : 917
% 7.37/1.40  # BW rewrite match successes           : 49
% 7.37/1.40  # Condensation attempts                : 0
% 7.37/1.40  # Condensation successes               : 0
% 7.37/1.40  # Termbank termtop insertions          : 559146
% 7.37/1.40  # Search garbage collected termcells   : 4032
% 7.37/1.40  
% 7.37/1.40  # -------------------------------------------------
% 7.37/1.40  # User time                : 0.933 s
% 7.37/1.40  # System time              : 0.025 s
% 7.37/1.40  # Total time               : 0.958 s
% 7.37/1.40  # Maximum resident set size: 6744 pages
% 7.37/1.40  
% 7.37/1.40  # -------------------------------------------------
% 7.37/1.40  # User time                : 4.478 s
% 7.37/1.40  # System time              : 0.093 s
% 7.37/1.40  # Total time               : 4.571 s
% 7.37/1.40  # Maximum resident set size: 3484 pages
% 7.37/1.40  % E---3.1 exiting
%------------------------------------------------------------------------------