%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : CAT033+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:08:22 PM UTC 2026
% Result : Theorem 85.79s 13.30s
% Output : CNFRefutation 85.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 72 ( 3 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 80 ( 31 ~; 24 |; 10 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 1 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t49_ens_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_cat_1(X2))
=> ( r1_tarski(k17_ens_1(X2),X1)
=> m2_cat_1(k20_ens_1(X2,X3),X2,k12_ens_1(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+308.ax',t49_ens_1) ).
fof(fc5_ens_1,axiom,
! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ~ v1_xboole_0(k17_ens_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+308.ax',fc5_ens_1) ).
fof(t2_yoneda_1,conjecture,
! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_cat_1(X1))
=> m2_cat_1(k20_ens_1(X1,X2),X1,k1_yoneda_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yoneda_1) ).
fof(d1_yoneda_1,axiom,
! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> k1_yoneda_1(X1) = k12_ens_1(k17_ens_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_yoneda_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).
fof(c_0_5,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_cat_1(X2))
=> ( r1_tarski(k17_ens_1(X2),X1)
=> m2_cat_1(k20_ens_1(X2,X3),X2,k12_ens_1(X1)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t49_ens_1]) ).
fof(c_0_6,plain,
! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ~ v1_xboole_0(k17_ens_1(X1)) ),
inference(fof_simplification,[status(thm)],[fc5_ens_1]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_cat_1(X1))
=> m2_cat_1(k20_ens_1(X1,X2),X1,k1_yoneda_1(X1)) ) ),
inference(assume_negation,[status(cth)],[t2_yoneda_1]) ).
fof(c_0_8,plain,
! [X35,X36,X37] :
( m2_cat_1(k20_ens_1(X36,X37),X36,k12_ens_1(X35))
| ~ r1_tarski(k17_ens_1(X36),X35)
| ~ m1_subset_1(X37,u1_cat_1(X36))
| ~ l1_cat_1(X36)
| ~ v2_cat_1(X36)
| v1_xboole_0(X35) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_9,plain,
! [X24] :
( k1_yoneda_1(X24) = k12_ens_1(k17_ens_1(X24))
| ~ l1_cat_1(X24)
| ~ v2_cat_1(X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_yoneda_1])])]) ).
fof(c_0_10,plain,
! [X64] :
( ~ v1_xboole_0(k17_ens_1(X64))
| ~ l1_cat_1(X64)
| ~ v2_cat_1(X64) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_11,negated_conjecture,
( ~ m2_cat_1(k20_ens_1(esk1_0,esk2_0),esk1_0,k1_yoneda_1(esk1_0))
& m1_subset_1(esk2_0,u1_cat_1(esk1_0))
& l1_cat_1(esk1_0)
& v2_cat_1(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
cnf(c_0_12,plain,
( ~ r1_tarski(k17_ens_1(X2),X1)
| ~ m1_subset_1(X3,u1_cat_1(X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| m2_cat_1(k20_ens_1(X2,X3),X2,k12_ens_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k1_yoneda_1(X1) = k12_ens_1(k17_ens_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( ~ v1_xboole_0(k17_ens_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X694] : r1_tarski(X694,X694),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_16,negated_conjecture,
~ m2_cat_1(k20_ens_1(esk1_0,esk2_0),esk1_0,k1_yoneda_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( ~ r1_tarski(k17_ens_1(X1),k17_ens_1(X3))
| ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| m2_cat_1(k20_ens_1(X1,X2),X1,k1_yoneda_1(X3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_18,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
m1_subset_1(esk2_0,u1_cat_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CAT033+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n004.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 14:00:51 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.53 Running first-order theorem proving
% 0.26/0.54 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
% 85.79/13.30 % Version: 3.5.1
% 85.79/13.30 % Preprocessing class: FMLLSMLLSSSNFFN.
% 85.79/13.30 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 85.79/13.30 % Starting new_bool_3 with 897s (3) cores
% 85.79/13.30 % Starting new_bool_1 with 897s (3) cores
% 85.79/13.30 % Starting sh5l with 299s (1) cores
% 85.79/13.30 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 85.79/13.30 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 3315923 completed with status 0
% 85.79/13.30 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 85.79/13.30 % Preprocessing class: FMLLSMLLSSSNFFN.
% 85.79/13.30 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 85.79/13.30 % Starting new_bool_3 with 897s (3) cores
% 85.79/13.30 % Starting new_bool_1 with 897s (3) cores
% 85.79/13.30 % Starting sh5l with 299s (1) cores
% 85.79/13.30 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 85.79/13.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 85.79/13.30 % SinE strategy is gf120_gu_R02_F100_L20000
% 85.79/13.30 % Search class: FGHSM-FSLM32-DFFFFFNN
% 85.79/13.30 % Scheduled 13 strats onto 1 cores with 299 seconds (299 total)
% 85.79/13.30 % Starting SubtermCWHack with 27s (1) cores
% 85.79/13.30 % SubtermCWHack with pid 3315924 completed with status 0
% 85.79/13.30 % Result found by SubtermCWHack
% 85.79/13.30 % Preprocessing class: FMLLSMLLSSSNFFN.
% 85.79/13.30 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 85.79/13.30 % Starting new_bool_3 with 897s (3) cores
% 85.79/13.30 % Starting new_bool_1 with 897s (3) cores
% 85.79/13.30 % Starting sh5l with 299s (1) cores
% 85.79/13.30 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 85.79/13.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 85.79/13.30 % SinE strategy is gf120_gu_R02_F100_L20000
% 85.79/13.30 % Search class: FGHSM-FSLM32-DFFFFFNN
% 85.79/13.30 % Scheduled 13 strats onto 1 cores with 299 seconds (299 total)
% 85.79/13.30 % Starting SubtermCWHack with 27s (1) cores
% 85.79/13.30 % Preprocessing time : 0.046 s
% 85.79/13.30
% 85.79/13.30 % Proof found!
% 85.79/13.30 % SZS status Theorem
% 85.79/13.30 % SZS output start CNFRefutation
% See solution above
% 85.79/13.30 % Parsed axioms : 16909
% 85.79/13.30 % Removed by relevancy pruning/SinE : 16649
% 85.79/13.30 % Initial clauses : 562
% 85.79/13.30 % Removed in clause preprocessing : 7
% 85.79/13.30 % Initial clauses in saturation : 555
% 85.79/13.30 % Processed clauses : 31977
% 85.79/13.30 % ...of these trivial : 161
% 85.79/13.30 % ...subsumed : 26906
% 85.79/13.30 % ...remaining for further processing : 4910
% 85.79/13.30 % Other redundant clauses eliminated : 307
% 85.79/13.30 % Clauses deleted for lack of memory : 0
% 85.79/13.30 % Backward-subsumed : 293
% 85.79/13.30 % Backward-rewritten : 287
% 85.79/13.30 % Generated clauses : 415345
% 85.79/13.30 % ...of the previous two non-redundant : 341241
% 85.79/13.30 % ...aggressively subsumed : 0
% 85.79/13.30 % Contextual simplify-reflections : 394
% 85.79/13.30 % Paramodulations : 414993
% 85.79/13.30 % Factorizations : 8
% 85.79/13.30 % NegExts : 0
% 85.79/13.30 % Equation resolutions : 331
% 85.79/13.30 % Disequality decompositions : 0
% 85.79/13.30 % Total rewrite steps : 202537
% 85.79/13.30 % ...of those cached : 200450
% 85.79/13.30 % Propositional unsat checks : 0
% 85.79/13.30 % Propositional check models : 0
% 85.79/13.30 % Propositional check unsatisfiable : 0
% 85.79/13.30 % Propositional clauses : 0
% 85.79/13.30 % Propositional clauses after purity: 0
% 85.79/13.30 % Propositional unsat core size : 0
% 85.79/13.30 % Propositional preprocessing time : 0.000
% 85.79/13.30 % Propositional encoding time : 0.000
% 85.79/13.30 % Propositional solver time : 0.000
% 85.79/13.30 % Success case prop preproc time : 0.000
% 85.79/13.30 % Success case prop encoding time : 0.000
% 85.79/13.30 % Success case prop solver time : 0.000
% 85.79/13.30 % Current number of processed clauses : 4271
% 85.79/13.30 % Positive orientable unit clauses : 323
% 85.79/13.30 % Positive unorientable unit clauses: 0
% 85.79/13.30 % Negative unit clauses : 173
% 85.79/13.30 % Non-unit-clauses : 3775
% 85.79/13.30 % Current number of unprocessed clauses: 304074
% 85.79/13.30 % ...number of literals in the above : 1255159
% 85.79/13.30 % Current number of archived formulas : 0
% 85.79/13.30 % Current number of archived clauses : 596
% 85.79/13.30 % Clause-clause subsumption calls (NU) : 2429170
% 85.79/13.30 % Rec. Clause-clause subsumption calls : 1534728
% 85.79/13.30 % Non-unit clause-clause subsumptions : 18137
% 85.79/13.30 % Unit Clause-clause subsumption calls : 30357
% 85.79/13.30 % Rewrite failures with RHS unbound : 0
% 85.79/13.30 % BW rewrite match attempts : 6160
% 85.79/13.30 % BW rewrite match successes : 40
% 85.79/13.30 % Condensation attempts : 0
% 85.79/13.30 % Condensation successes : 0
% 85.79/13.30 % Termbank termtop insertions : 6202144
% 85.79/13.30 % Search garbage collected termcells : 163809
% 85.79/13.30
% 85.79/13.30 % -------------------------------------------------
% 85.79/13.30 % User time : 10.647 s
% 85.79/13.30 % System time : 0.420 s
% 85.79/13.30 % Total time : 11.067 s
% 85.79/13.30 % Maximum resident set size: 35004 pages
% 85.79/13.30
% 85.79/13.30 % -------------------------------------------------
% 85.79/13.30 % User time : 11.961 s
% 85.79/13.30 % System time : 0.481 s
% 85.79/13.30 % Total time : 12.442 s
% 85.79/13.30 % Maximum resident set size: 28416 pages
% 85.79/13.30 % E exiting
%------------------------------------------------------------------------------