%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT269-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 0.73s 1.00s
% Output : CNFRefutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 11 unt; 3 nHn; 17 RR)
% Number of literals : 29 ( 9 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-5 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0,axiom,
( c_Tarski_Ointerval(v_r,X1,c_Tarski_OTop(v_cl,t_a),t_a) != c_emptyset
| ~ c_in(X1,v_A,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0) ).
cnf(cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0,axiom,
( ~ c_in(X2,v_A,t_a)
| ~ c_in(X1,v_A,t_a)
| c_Tarski_Ointerval(v_r,X2,X1,t_a) = c_emptyset
| c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X2,X1,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X2,X1,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0) ).
cnf(cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0,axiom,
v_intY1 = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0) ).
cnf(cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0,axiom,
c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0,axiom,
c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0) ).
cnf(c_0_6,plain,
( c_Tarski_Ointerval(v_r,X1,c_Tarski_OTop(v_cl,t_a),t_a) != c_emptyset
| ~ c_in(X1,v_A,t_a) ),
inference(fof_simplification,[status(thm)],[cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0]) ).
cnf(c_0_7,plain,
( ~ c_in(X2,v_A,t_a)
| ~ c_in(X1,v_A,t_a)
| c_Tarski_Ointerval(v_r,X2,X1,t_a) = c_emptyset
| c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X2,X1,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X2,X1,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(fof_simplification,[status(thm)],[cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0]) ).
cnf(c_0_8,plain,
( c_Tarski_Ointerval(v_r,X1,c_Tarski_OTop(v_cl,t_a),t_a) != c_emptyset
| ~ c_in(X1,v_A,t_a) ),
c_0_6 ).
cnf(c_0_9,axiom,
v_intY1 = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),
cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0 ).
cnf(c_0_10,axiom,
c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a),
cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0 ).
cnf(c_0_11,negated_conjecture,
~ c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_12,plain,
( ~ c_in(X2,v_A,t_a)
| ~ c_in(X1,v_A,t_a)
| c_Tarski_Ointerval(v_r,X2,X1,t_a) = c_emptyset
| c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X2,X1,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X2,X1,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
c_0_7 ).
cnf(c_0_13,axiom,
c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a),
cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0 ).
cnf(c_0_14,plain,
v_intY1 != c_emptyset,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_15,negated_conjecture,
~ c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
c_0_11 ).
cnf(c_0_16,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_9]),c_0_10]),c_0_13])]),c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT269-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.35 % Computer : n003.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 23:26:00 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.73/1.00 % Version: 3.5.1
% 0.73/1.00 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.73/1.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/1.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.73/1.00 % Starting new_bool_3 with 300s (1) cores
% 0.73/1.00 % Starting new_bool_1 with 300s (1) cores
% 0.73/1.00 % Starting sh5l with 300s (1) cores
% 0.73/1.00 % new_bool_1 with pid 2838224 completed with status 0
% 0.73/1.00 % Result found by new_bool_1
% 0.73/1.00 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.73/1.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/1.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.73/1.00 % Starting new_bool_3 with 300s (1) cores
% 0.73/1.00 % Starting new_bool_1 with 300s (1) cores
% 0.73/1.00 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.73/1.00 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.73/1.00 % Search class: FGHSM-FFLM32-MFFFFFNN
% 0.73/1.00 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.73/1.00 % Starting SubtermCWHack with 31s (1) cores
% 0.73/1.00 % SubtermCWHack with pid 2838233 completed with status 0
% 0.73/1.00 % Result found by SubtermCWHack
% 0.73/1.00 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.73/1.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/1.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.73/1.00 % Starting new_bool_3 with 300s (1) cores
% 0.73/1.00 % Starting new_bool_1 with 300s (1) cores
% 0.73/1.00 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.73/1.00 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.73/1.00 % Search class: FGHSM-FFLM32-MFFFFFNN
% 0.73/1.00 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.73/1.00 % Starting SubtermCWHack with 31s (1) cores
% 0.73/1.00 % Preprocessing time : 0.002 s
% 0.73/1.00
% 0.73/1.00 % Proof found!
% 0.73/1.00 % SZS status Unsatisfiable
% 0.73/1.00 % SZS output start CNFRefutation
% See solution above
% 0.73/1.00 % Parsed axioms : 2746
% 0.73/1.00 % Removed by relevancy pruning/SinE : 2584
% 0.73/1.00 % Initial clauses : 162
% 0.73/1.00 % Removed in clause preprocessing : 0
% 0.73/1.00 % Initial clauses in saturation : 162
% 0.73/1.00 % Processed clauses : 935
% 0.73/1.00 % ...of these trivial : 8
% 0.73/1.00 % ...subsumed : 602
% 0.73/1.00 % ...remaining for further processing : 325
% 0.73/1.00 % Other redundant clauses eliminated : 35
% 0.73/1.00 % Clauses deleted for lack of memory : 0
% 0.73/1.00 % Backward-subsumed : 3
% 0.73/1.00 % Backward-rewritten : 5
% 0.73/1.00 % Generated clauses : 2397
% 0.73/1.00 % ...of the previous two non-redundant : 1859
% 0.73/1.00 % ...aggressively subsumed : 0
% 0.73/1.00 % Contextual simplify-reflections : 0
% 0.73/1.00 % Paramodulations : 2344
% 0.73/1.00 % Factorizations : 0
% 0.73/1.00 % NegExts : 0
% 0.73/1.00 % Equation resolutions : 53
% 0.73/1.00 % Disequality decompositions : 0
% 0.73/1.00 % Total rewrite steps : 999
% 0.73/1.00 % ...of those cached : 747
% 0.73/1.00 % Propositional unsat checks : 0
% 0.73/1.00 % Propositional check models : 0
% 0.73/1.00 % Propositional check unsatisfiable : 0
% 0.73/1.00 % Propositional clauses : 0
% 0.73/1.00 % Propositional clauses after purity: 0
% 0.73/1.00 % Propositional unsat core size : 0
% 0.73/1.00 % Propositional preprocessing time : 0.000
% 0.73/1.00 % Propositional encoding time : 0.000
% 0.73/1.00 % Propositional solver time : 0.000
% 0.73/1.00 % Success case prop preproc time : 0.000
% 0.73/1.00 % Success case prop encoding time : 0.000
% 0.73/1.00 % Success case prop solver time : 0.000
% 0.73/1.00 % Current number of processed clauses : 317
% 0.73/1.00 % Positive orientable unit clauses : 92
% 0.73/1.00 % Positive unorientable unit clauses: 0
% 0.73/1.00 % Negative unit clauses : 104
% 0.73/1.00 % Non-unit-clauses : 121
% 0.73/1.00 % Current number of unprocessed clauses: 1085
% 0.73/1.00 % ...number of literals in the above : 2036
% 0.73/1.00 % Current number of archived formulas : 0
% 0.73/1.00 % Current number of archived clauses : 8
% 0.73/1.00 % Clause-clause subsumption calls (NU) : 2210
% 0.73/1.00 % Rec. Clause-clause subsumption calls : 1850
% 0.73/1.00 % Non-unit clause-clause subsumptions : 71
% 0.73/1.00 % Unit Clause-clause subsumption calls : 3231
% 0.73/1.00 % Rewrite failures with RHS unbound : 0
% 0.73/1.00 % BW rewrite match attempts : 52
% 0.73/1.00 % BW rewrite match successes : 5
% 0.73/1.00 % Condensation attempts : 0
% 0.73/1.00 % Condensation successes : 0
% 0.73/1.00 % Termbank termtop insertions : 48175
% 0.73/1.00 % Search garbage collected termcells : 7785
% 0.73/1.00
% 0.73/1.00 % -------------------------------------------------
% 0.73/1.00 % User time : 0.029 s
% 0.73/1.00 % System time : 0.009 s
% 0.73/1.00 % Total time : 0.038 s
% 0.73/1.00 % Maximum resident set size: 6172 pages
% 0.73/1.00
% 0.73/1.00 % -------------------------------------------------
% 0.73/1.00 % User time : 0.081 s
% 0.73/1.00 % System time : 0.015 s
% 0.73/1.00 % Total time : 0.096 s
% 0.73/1.00 % Maximum resident set size: 6400 pages
% 0.73/1.00 % E exiting
%------------------------------------------------------------------------------