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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LAT270-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:04:37 PM UTC 2026

% Result   : Unsatisfiable 0.87s 0.64s
% Output   : CNFRefutation 0.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (  10 unt;   0 nHn;  13 RR)
%            Number of literals    :   22 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-4 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0,axiom,
    ( ~ c_lessequals(X3,c_Tarski_Ointerval(v_r,X2,X1,t_a),tc_set(t_a))
    | ~ c_in(X2,v_A,t_a)
    | ~ c_in(X1,v_A,t_a)
    | c_lessequals(X3,v_A,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT006-2.ax',cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ c_lessequals(v_S,v_A,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

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/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_a,v_A,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

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

cnf(c_0_5,plain,
    ( ~ c_lessequals(X3,c_Tarski_Ointerval(v_r,X2,X1,t_a),tc_set(t_a))
    | ~ c_in(X2,v_A,t_a)
    | ~ c_in(X1,v_A,t_a)
    | c_lessequals(X3,v_A,tc_set(t_a)) ),
    inference(fof_simplification,[status(thm)],[cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0]) ).

cnf(c_0_6,negated_conjecture,
    ~ c_lessequals(v_S,v_A,tc_set(t_a)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).

cnf(c_0_7,plain,
    ( ~ c_lessequals(X3,c_Tarski_Ointerval(v_r,X2,X1,t_a),tc_set(t_a))
    | ~ c_in(X2,v_A,t_a)
    | ~ c_in(X1,v_A,t_a)
    | c_lessequals(X3,v_A,tc_set(t_a)) ),
    c_0_5 ).

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,negated_conjecture,
    c_in(v_a,v_A,t_a),
    cls_conjecture_0 ).

cnf(c_0_10,negated_conjecture,
    c_in(v_b,v_A,t_a),
    cls_conjecture_1 ).

cnf(c_0_11,negated_conjecture,
    ~ c_lessequals(v_S,v_A,tc_set(t_a)),
    c_0_6 ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10])]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT270-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n008.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 20 23:25:09 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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/benchmark/theBenchmark.p
% 0.87/0.64  % Version: 3.5.1
% 0.87/0.64  % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.87/0.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.87/0.64  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.87/0.64  % Starting new_bool_3 with 300s (1) cores
% 0.87/0.64  % Starting new_bool_1 with 300s (1) cores
% 0.87/0.64  % Starting sh5l with 300s (1) cores
% 0.87/0.64  % new_bool_1 with pid 3815350 completed with status 0
% 0.87/0.64  % Result found by new_bool_1
% 0.87/0.64  % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.87/0.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.87/0.64  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.87/0.64  % Starting new_bool_3 with 300s (1) cores
% 0.87/0.64  % Starting new_bool_1 with 300s (1) cores
% 0.87/0.64  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.87/0.64  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.87/0.64  % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.87/0.64  % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.87/0.64  % Starting SubtermCWHack with 28s (1) cores
% 0.87/0.64  % SubtermCWHack with pid 3815352 completed with status 0
% 0.87/0.64  % Result found by SubtermCWHack
% 0.87/0.64  % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.87/0.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.87/0.64  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.87/0.64  % Starting new_bool_3 with 300s (1) cores
% 0.87/0.64  % Starting new_bool_1 with 300s (1) cores
% 0.87/0.64  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.87/0.64  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.87/0.64  % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.87/0.64  % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.87/0.64  % Starting SubtermCWHack with 28s (1) cores
% 0.87/0.64  % Preprocessing time       : 0.006 s
% 0.87/0.64  
% 0.87/0.64  % Proof found!
% 0.87/0.64  % SZS status Unsatisfiable
% 0.87/0.64  % SZS output start CNFRefutation
% See solution above
% 0.87/0.64  % Parsed axioms                        : 2758
% 0.87/0.64  % Removed by relevancy pruning/SinE    : 2493
% 0.87/0.64  % Initial clauses                      : 265
% 0.87/0.64  % Removed in clause preprocessing      : 0
% 0.87/0.64  % Initial clauses in saturation        : 265
% 0.87/0.64  % Processed clauses                    : 1771
% 0.87/0.64  % ...of these trivial                  : 28
% 0.87/0.64  % ...subsumed                          : 1215
% 0.87/0.64  % ...remaining for further processing  : 528
% 0.87/0.64  % Other redundant clauses eliminated   : 94
% 0.87/0.64  % Clauses deleted for lack of memory   : 0
% 0.87/0.64  % Backward-subsumed                    : 13
% 0.87/0.64  % Backward-rewritten                   : 62
% 0.87/0.64  % Generated clauses                    : 4490
% 0.87/0.64  % ...of the previous two non-redundant : 3558
% 0.87/0.64  % ...aggressively subsumed             : 0
% 0.87/0.64  % Contextual simplify-reflections      : 1
% 0.87/0.64  % Paramodulations                      : 4383
% 0.87/0.64  % Factorizations                       : 0
% 0.87/0.64  % NegExts                              : 0
% 0.87/0.64  % Equation resolutions                 : 107
% 0.87/0.64  % Disequality decompositions           : 0
% 0.87/0.64  % Total rewrite steps                  : 1863
% 0.87/0.64  % ...of those cached                   : 1568
% 0.87/0.64  % Propositional unsat checks           : 0
% 0.87/0.64  %    Propositional check models        : 0
% 0.87/0.64  %    Propositional check unsatisfiable : 0
% 0.87/0.64  %    Propositional clauses             : 0
% 0.87/0.64  %    Propositional clauses after purity: 0
% 0.87/0.64  %    Propositional unsat core size     : 0
% 0.87/0.64  %    Propositional preprocessing time  : 0.000
% 0.87/0.64  %    Propositional encoding time       : 0.000
% 0.87/0.64  %    Propositional solver time         : 0.000
% 0.87/0.64  %    Success case prop preproc time    : 0.000
% 0.87/0.64  %    Success case prop encoding time   : 0.000
% 0.87/0.64  %    Success case prop solver time     : 0.000
% 0.87/0.64  % Current number of processed clauses  : 453
% 0.87/0.64  %    Positive orientable unit clauses  : 112
% 0.87/0.64  %    Positive unorientable unit clauses: 1
% 0.87/0.64  %    Negative unit clauses             : 115
% 0.87/0.64  %    Non-unit-clauses                  : 225
% 0.87/0.64  % Current number of unprocessed clauses: 1967
% 0.87/0.64  % ...number of literals in the above   : 4473
% 0.87/0.64  % Current number of archived formulas  : 0
% 0.87/0.64  % Current number of archived clauses   : 75
% 0.87/0.64  % Clause-clause subsumption calls (NU) : 9286
% 0.87/0.64  % Rec. Clause-clause subsumption calls : 3899
% 0.87/0.64  % Non-unit clause-clause subsumptions  : 142
% 0.87/0.64  % Unit Clause-clause subsumption calls : 3079
% 0.87/0.64  % Rewrite failures with RHS unbound    : 0
% 0.87/0.64  % BW rewrite match attempts            : 189
% 0.87/0.64  % BW rewrite match successes           : 69
% 0.87/0.64  % Condensation attempts                : 0
% 0.87/0.64  % Condensation successes               : 0
% 0.87/0.64  % Termbank termtop insertions          : 75430
% 0.87/0.64  % Search garbage collected termcells   : 7683
% 0.87/0.64  
% 0.87/0.64  % -------------------------------------------------
% 0.87/0.64  % User time                : 0.128 s
% 0.87/0.64  % System time              : 0.014 s
% 0.87/0.64  % Total time               : 0.142 s
% 0.87/0.64  % Maximum resident set size: 6192 pages
% 0.87/0.64  
% 0.87/0.64  % -------------------------------------------------
% 0.87/0.64  % User time                : 0.178 s
% 0.87/0.64  % System time              : 0.023 s
% 0.87/0.64  % Total time               : 0.201 s
% 0.87/0.64  % Maximum resident set size: 6656 pages
% 0.87/0.64  % E exiting
%------------------------------------------------------------------------------