%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT263-1 : 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 : n020.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 01:04:35 PM UTC 2026
% Result : Unsatisfiable 197.77s 29.10s
% Output : CNFRefutation 197.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 16 unt; 0 nHn; 16 RR)
% Number of literals : 30 ( 6 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Tarski_OCL_Olub__in__lattice_0,axiom,
( ~ c_lessequals(X3,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| c_in(c_Tarski_Olub(X3,X1,X2),c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__in__lattice_0) ).
cnf(cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
cnf(cls_Tarski_Oglb__dual__lub_0,axiom,
c_Tarski_Oglb(X1,X2,X3) = c_Tarski_Olub(X1,c_Tarski_Odual(X2,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).
cnf(cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,axiom,
c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
cnf(cls_Tarski_Odual_Acl_A_58_APartialOrder_0,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_8,plain,
( ~ c_lessequals(X3,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| c_in(c_Tarski_Olub(X3,X1,X2),c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2) ),
inference(fof_simplification,[status(thm)],[cls_Tarski_OCL_Olub__in__lattice_0]) ).
cnf(c_0_9,plain,
( ~ c_lessequals(X3,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| c_in(c_Tarski_Olub(X3,X1,X2),c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2) ),
c_0_8 ).
cnf(c_0_10,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0 ).
cnf(c_0_11,axiom,
c_Tarski_Oglb(X1,X2,X3) = c_Tarski_Olub(X1,c_Tarski_Odual(X2,X3),X3),
cls_Tarski_Oglb__dual__lub_0 ).
cnf(c_0_12,axiom,
c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),
cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0 ).
cnf(c_0_13,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
cls_Tarski_OA_A_61_61_Apset_Acl_0 ).
cnf(c_0_14,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
cls_Tarski_Odual_Acl_A_58_APartialOrder_0 ).
cnf(c_0_15,negated_conjecture,
~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_16,plain,
( ~ c_lessequals(X1,v_A,tc_set(t_a))
| c_in(c_Tarski_Oglb(X1,v_cl,t_a),v_A,t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_13]),c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_17,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
cls_conjecture_0 ).
cnf(c_0_18,negated_conjecture,
~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
c_0_15 ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT263-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n020.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 20 23:24:47 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 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
% 197.77/29.10 % Version: 3.5.1
% 197.77/29.10 % Preprocessing class: FMLMSMSMSSSNFFN.
% 197.77/29.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 197.77/29.10 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 197.77/29.10 % Starting new_bool_3 with 300s (1) cores
% 197.77/29.10 % Starting new_bool_1 with 300s (1) cores
% 197.77/29.10 % Starting sh5l with 300s (1) cores
% 197.77/29.10 % new_bool_1 with pid 1442729 completed with status 0
% 197.77/29.10 % Result found by new_bool_1
% 197.77/29.10 % Preprocessing class: FMLMSMSMSSSNFFN.
% 197.77/29.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 197.77/29.10 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 197.77/29.10 % Starting new_bool_3 with 300s (1) cores
% 197.77/29.10 % Starting new_bool_1 with 300s (1) cores
% 197.77/29.10 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 197.77/29.10 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 197.77/29.10 % Search class: FGHSM-FFMM32-MFFFFFNN
% 197.77/29.10 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 197.77/29.10 % Starting SubtermCWHack with 28s (1) cores
% 197.77/29.10 % SubtermCWHack with pid 1442732 completed with status 8
% 197.77/29.10 % Starting new_bool_1 with 31s (1) cores
% 197.77/29.10 % new_bool_1 with pid 1443291 completed with status 0
% 197.77/29.10 % Result found by new_bool_1
% 197.77/29.10 % Preprocessing class: FMLMSMSMSSSNFFN.
% 197.77/29.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 197.77/29.10 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 197.77/29.10 % Starting new_bool_3 with 300s (1) cores
% 197.77/29.10 % Starting new_bool_1 with 300s (1) cores
% 197.77/29.10 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 197.77/29.10 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 197.77/29.10 % Search class: FGHSM-FFMM32-MFFFFFNN
% 197.77/29.10 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 197.77/29.10 % Starting SubtermCWHack with 28s (1) cores
% 197.77/29.10 % SubtermCWHack with pid 1442732 completed with status 8
% 197.77/29.10 % Starting new_bool_1 with 31s (1) cores
% 197.77/29.10 % Preprocessing time : 0.005 s
% 197.77/29.10 % Presaturation interreduction done
% 197.77/29.10
% 197.77/29.10 % Proof found!
% 197.77/29.10 % SZS status Unsatisfiable
% 197.77/29.10 % SZS output start CNFRefutation
% See solution above
% 197.77/29.10 % Parsed axioms : 2748
% 197.77/29.10 % Removed by relevancy pruning/SinE : 2680
% 197.77/29.10 % Initial clauses : 68
% 197.77/29.10 % Removed in clause preprocessing : 0
% 197.77/29.10 % Initial clauses in saturation : 68
% 197.77/29.10 % Processed clauses : 177
% 197.77/29.10 % ...of these trivial : 2
% 197.77/29.10 % ...subsumed : 18
% 197.77/29.10 % ...remaining for further processing : 157
% 197.77/29.10 % Other redundant clauses eliminated : 3
% 197.77/29.10 % Clauses deleted for lack of memory : 0
% 197.77/29.10 % Backward-subsumed : 1
% 197.77/29.10 % Backward-rewritten : 2
% 197.77/29.10 % Generated clauses : 190
% 197.77/29.10 % ...of the previous two non-redundant : 123
% 197.77/29.10 % ...aggressively subsumed : 0
% 197.77/29.10 % Contextual simplify-reflections : 0
% 197.77/29.10 % Paramodulations : 184
% 197.77/29.10 % Factorizations : 0
% 197.77/29.10 % NegExts : 0
% 197.77/29.10 % Equation resolutions : 6
% 197.77/29.10 % Disequality decompositions : 0
% 197.77/29.10 % Total rewrite steps : 117
% 197.77/29.10 % ...of those cached : 62
% 197.77/29.10 % Propositional unsat checks : 0
% 197.77/29.10 % Propositional check models : 0
% 197.77/29.10 % Propositional check unsatisfiable : 0
% 197.77/29.10 % Propositional clauses : 0
% 197.77/29.10 % Propositional clauses after purity: 0
% 197.77/29.10 % Propositional unsat core size : 0
% 197.77/29.10 % Propositional preprocessing time : 0.000
% 197.77/29.10 % Propositional encoding time : 0.000
% 197.77/29.10 % Propositional solver time : 0.000
% 197.77/29.10 % Success case prop preproc time : 0.000
% 197.77/29.10 % Success case prop encoding time : 0.000
% 197.77/29.10 % Success case prop solver time : 0.000
% 197.77/29.10 % Current number of processed clauses : 89
% 197.77/29.10 % Positive orientable unit clauses : 35
% 197.77/29.10 % Positive unorientable unit clauses: 0
% 197.77/29.10 % Negative unit clauses : 8
% 197.77/29.10 % Non-unit-clauses : 46
% 197.77/29.10 % Current number of unprocessed clauses: 79
% 197.77/29.10 % ...number of literals in the above : 115
% 197.77/29.10 % Current number of archived formulas : 0
% 197.77/29.10 % Current number of archived clauses : 68
% 197.77/29.10 % Clause-clause subsumption calls (NU) : 393
% 197.77/29.10 % Rec. Clause-clause subsumption calls : 362
% 197.77/29.10 % Non-unit clause-clause subsumptions : 4
% 197.77/29.10 % Unit Clause-clause subsumption calls : 57
% 197.77/29.10 % Rewrite failures with RHS unbound : 0
% 197.77/29.10 % BW rewrite match attempts : 49
% 197.77/29.10 % BW rewrite match successes : 2
% 197.77/29.10 % Condensation attempts : 0
% 197.77/29.10 % Condensation successes : 0
% 197.77/29.10 % Termbank termtop insertions : 27340
% 197.77/29.10 % Search garbage collected termcells : 7933
% 197.77/29.10
% 197.77/29.10 % -------------------------------------------------
% 197.77/29.10 % User time : 27.121 s
% 197.77/29.10 % System time : 1.020 s
% 197.77/29.10 % Total time : 28.141 s
% 197.77/29.10 % Maximum resident set size: 6120 pages
% 197.77/29.10
% 197.77/29.10 % -------------------------------------------------
% 197.77/29.10 % User time : 27.214 s
% 197.77/29.10 % System time : 1.030 s
% 197.77/29.10 % Total time : 28.244 s
% 197.77/29.10 % Maximum resident set size: 6656 pages
% 197.77/29.10 % E exiting
%------------------------------------------------------------------------------