%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET844-1 : 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 : n010.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 02:15:33 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 10 unt; 0 nHn; 16 RR)
% Number of literals : 35 ( 7 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 32 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Zorn_Oeq__succ__upper_0,axiom,
( X1 != c_Zorn_Osucc(X2,X1,X3)
| ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| c_lessequals(X4,X1,tc_set(tc_set(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).
cnf(cls_Zorn_OTFin__UnionI_0,axiom,
( ~ c_lessequals(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(tc_set(X3))))
| c_in(c_Union(X1,tc_set(X3)),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(X1,X1,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).
cnf(cls_conjecture_1,negated_conjecture,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_6,plain,
( X1 != c_Zorn_Osucc(X2,X1,X3)
| ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| c_lessequals(X4,X1,tc_set(tc_set(X3))) ),
inference(fof_simplification,[status(thm)],[cls_Zorn_Oeq__succ__upper_0]) ).
cnf(c_0_7,plain,
( ~ c_lessequals(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(tc_set(X3))))
| c_in(c_Union(X1,tc_set(X3)),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
inference(fof_simplification,[status(thm)],[cls_Zorn_OTFin__UnionI_0]) ).
cnf(c_0_8,plain,
( X1 != c_Zorn_Osucc(X2,X1,X3)
| ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| c_lessequals(X4,X1,tc_set(tc_set(X3))) ),
c_0_6 ).
cnf(c_0_9,plain,
( ~ c_lessequals(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(tc_set(X3))))
| c_in(c_Union(X1,tc_set(X3)),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
c_0_7 ).
cnf(c_0_10,negated_conjecture,
~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_11,plain,
( ~ c_in(X3,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X1,c_Zorn_OTFin(X4,X2),tc_set(tc_set(tc_set(X2))))
| c_Zorn_Osucc(X4,X3,X2) != X3
| c_lessequals(c_Union(X1,tc_set(X2)),X3,tc_set(tc_set(X2))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,axiom,
c_lessequals(X1,X1,tc_set(X2)),
cls_Set_Osubset__refl_0 ).
cnf(c_0_13,negated_conjecture,
~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
c_0_10 ).
cnf(c_0_14,plain,
( ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_Zorn_Osucc(X1,X3,X2) != X3
| c_lessequals(c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),X3,tc_set(tc_set(X2))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
cls_conjecture_1 ).
cnf(c_0_16,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
cls_conjecture_0 ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET844-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:41:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.18/0.48 % Version: 3.5.1
% 0.18/0.48 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.18/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.48 % Starting sh5l with 300s (1) cores
% 0.18/0.48 % new_bool_3 with pid 135417 completed with status 0
% 0.18/0.48 % Result found by new_bool_3
% 0.18/0.48 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.18/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.48 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.18/0.48 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.48 % Starting SubtermCWHack with 28s (1) cores
% 0.18/0.48 % SubtermCWHack with pid 135420 completed with status 0
% 0.18/0.48 % Result found by SubtermCWHack
% 0.18/0.48 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.18/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.48 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.18/0.48 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.48 % Starting SubtermCWHack with 28s (1) cores
% 0.18/0.48 % Preprocessing time : 0.002 s
% 0.18/0.48
% 0.18/0.48 % Proof found!
% 0.18/0.48 % SZS status Unsatisfiable
% 0.18/0.48 % SZS output start CNFRefutation
% See solution above
% 0.18/0.48 % Parsed axioms : 1367
% 0.18/0.48 % Removed by relevancy pruning/SinE : 982
% 0.18/0.48 % Initial clauses : 385
% 0.18/0.48 % Removed in clause preprocessing : 0
% 0.18/0.48 % Initial clauses in saturation : 385
% 0.18/0.48 % Processed clauses : 557
% 0.18/0.48 % ...of these trivial : 2
% 0.18/0.48 % ...subsumed : 103
% 0.18/0.48 % ...remaining for further processing : 452
% 0.18/0.48 % Other redundant clauses eliminated : 0
% 0.18/0.48 % Clauses deleted for lack of memory : 0
% 0.18/0.48 % Backward-subsumed : 2
% 0.18/0.48 % Backward-rewritten : 3
% 0.18/0.48 % Generated clauses : 545
% 0.18/0.48 % ...of the previous two non-redundant : 478
% 0.18/0.48 % ...aggressively subsumed : 0
% 0.18/0.48 % Contextual simplify-reflections : 0
% 0.18/0.48 % Paramodulations : 541
% 0.18/0.48 % Factorizations : 0
% 0.18/0.48 % NegExts : 0
% 0.18/0.48 % Equation resolutions : 4
% 0.18/0.48 % Disequality decompositions : 0
% 0.18/0.48 % Total rewrite steps : 74
% 0.18/0.48 % ...of those cached : 37
% 0.18/0.48 % Propositional unsat checks : 0
% 0.18/0.48 % Propositional check models : 0
% 0.18/0.48 % Propositional check unsatisfiable : 0
% 0.18/0.48 % Propositional clauses : 0
% 0.18/0.48 % Propositional clauses after purity: 0
% 0.18/0.48 % Propositional unsat core size : 0
% 0.18/0.48 % Propositional preprocessing time : 0.000
% 0.18/0.48 % Propositional encoding time : 0.000
% 0.18/0.48 % Propositional solver time : 0.000
% 0.18/0.48 % Success case prop preproc time : 0.000
% 0.18/0.48 % Success case prop encoding time : 0.000
% 0.18/0.48 % Success case prop solver time : 0.000
% 0.18/0.48 % Current number of processed clauses : 447
% 0.18/0.48 % Positive orientable unit clauses : 41
% 0.18/0.48 % Positive unorientable unit clauses: 0
% 0.18/0.48 % Negative unit clauses : 5
% 0.18/0.48 % Non-unit-clauses : 401
% 0.18/0.48 % Current number of unprocessed clauses: 299
% 0.18/0.48 % ...number of literals in the above : 868
% 0.18/0.48 % Current number of archived formulas : 0
% 0.18/0.48 % Current number of archived clauses : 5
% 0.18/0.48 % Clause-clause subsumption calls (NU) : 49846
% 0.18/0.48 % Rec. Clause-clause subsumption calls : 49338
% 0.18/0.48 % Non-unit clause-clause subsumptions : 89
% 0.18/0.48 % Unit Clause-clause subsumption calls : 399
% 0.18/0.48 % Rewrite failures with RHS unbound : 0
% 0.18/0.48 % BW rewrite match attempts : 5
% 0.18/0.48 % BW rewrite match successes : 3
% 0.18/0.48 % Condensation attempts : 0
% 0.18/0.48 % Condensation successes : 0
% 0.18/0.48 % Termbank termtop insertions : 28022
% 0.18/0.48 % Search garbage collected termcells : 2512
% 0.18/0.48
% 0.18/0.48 % -------------------------------------------------
% 0.18/0.48 % User time : 0.022 s
% 0.18/0.48 % System time : 0.007 s
% 0.18/0.48 % Total time : 0.029 s
% 0.18/0.48 % Maximum resident set size: 4864 pages
% 0.18/0.48
% 0.18/0.48 % -------------------------------------------------
% 0.18/0.48 % User time : 0.040 s
% 0.18/0.48 % System time : 0.014 s
% 0.18/0.48 % Total time : 0.054 s
% 0.18/0.48 % Maximum resident set size: 5632 pages
% 0.18/0.48 % E exiting
%------------------------------------------------------------------------------