TSTP Solution File: CAT033+2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : CAT033+2 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:59:23 EDT 2024
% Result : Theorem 70.37s 9.53s
% Output : CNFRefutation 70.37s
% 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] :
( ( v2_cat_1(X2)
& l1_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/sandbox2/benchmark/Axioms/SET007/SET007+308.ax',t49_ens_1) ).
fof(fc5_ens_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ~ v1_xboole_0(k17_ens_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+308.ax',fc5_ens_1) ).
fof(t2_yoneda_1,conjecture,
! [X1] :
( ( v2_cat_1(X1)
& l1_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/sandbox2/benchmark/theBenchmark.p',t2_yoneda_1) ).
fof(d1_yoneda_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> k1_yoneda_1(X1) = k12_ens_1(k17_ens_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yoneda_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).
fof(c_0_5,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_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] :
( ( v2_cat_1(X1)
& l1_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] :
( ( v2_cat_1(X1)
& l1_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,
! [X34,X35,X36] :
( v1_xboole_0(X34)
| ~ v2_cat_1(X35)
| ~ l1_cat_1(X35)
| ~ m1_subset_1(X36,u1_cat_1(X35))
| ~ r1_tarski(k17_ens_1(X35),X34)
| m2_cat_1(k20_ens_1(X35,X36),X35,k12_ens_1(X34)) ),
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,
! [X23] :
( ~ v2_cat_1(X23)
| ~ l1_cat_1(X23)
| k1_yoneda_1(X23) = k12_ens_1(k17_ens_1(X23)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_yoneda_1])])]) ).
fof(c_0_10,plain,
! [X142] :
( ~ v2_cat_1(X142)
| ~ l1_cat_1(X142)
| ~ v1_xboole_0(k17_ens_1(X142)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_11,negated_conjecture,
( v2_cat_1(esk1_0)
& l1_cat_1(esk1_0)
& m1_subset_1(esk2_0,u1_cat_1(esk1_0))
& ~ m2_cat_1(k20_ens_1(esk1_0,esk2_0),esk1_0,k1_yoneda_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,
( v1_xboole_0(X1)
| m2_cat_1(k20_ens_1(X2,X3),X2,k12_ens_1(X1))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m1_subset_1(X3,u1_cat_1(X2))
| ~ r1_tarski(k17_ens_1(X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( k1_yoneda_1(X1) = k12_ens_1(k17_ens_1(X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v1_xboole_0(k17_ens_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X719] : r1_tarski(X719,X719),
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,
( m2_cat_1(k20_ens_1(X1,X2),X1,k1_yoneda_1(X3))
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ r1_tarski(k17_ens_1(X1),k17_ens_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
% 0.06/0.12 % Problem : CAT033+2 : TPTP v8.2.0. Released v3.4.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 11:39:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.47 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
% 70.37/9.53 # Version: 3.1.0
% 70.37/9.53 # Preprocessing class: FMLMSMLLSSSNFFN.
% 70.37/9.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.37/9.53 # Starting new_bool_3 with 900s (3) cores
% 70.37/9.53 # Starting new_bool_1 with 900s (3) cores
% 70.37/9.53 # Starting sh5l with 300s (1) cores
% 70.37/9.53 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2p with 300s (1) cores
% 70.37/9.53 # G-E--_208_C18_F1_SE_CS_SP_PS_S2p with pid 25317 completed with status 0
% 70.37/9.53 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2p
% 70.37/9.53 # Preprocessing class: FMLMSMLLSSSNFFN.
% 70.37/9.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.37/9.53 # Starting new_bool_3 with 900s (3) cores
% 70.37/9.53 # Starting new_bool_1 with 900s (3) cores
% 70.37/9.53 # Starting sh5l with 300s (1) cores
% 70.37/9.53 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2p with 300s (1) cores
% 70.37/9.53 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 70.37/9.53 # Search class: FGHSM-SMLM32-DFFFFFNN
% 70.37/9.53 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 70.37/9.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 23s (1) cores
% 70.37/9.53 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 25318 completed with status 0
% 70.37/9.53 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 70.37/9.53 # Preprocessing class: FMLMSMLLSSSNFFN.
% 70.37/9.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.37/9.53 # Starting new_bool_3 with 900s (3) cores
% 70.37/9.53 # Starting new_bool_1 with 900s (3) cores
% 70.37/9.53 # Starting sh5l with 300s (1) cores
% 70.37/9.53 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2p with 300s (1) cores
% 70.37/9.53 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 70.37/9.53 # Search class: FGHSM-SMLM32-DFFFFFNN
% 70.37/9.53 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 70.37/9.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 23s (1) cores
% 70.37/9.53 # Preprocessing time : 0.026 s
% 70.37/9.53 # Presaturation interreduction done
% 70.37/9.53
% 70.37/9.53 # Proof found!
% 70.37/9.53 # SZS status Theorem
% 70.37/9.53 # SZS output start CNFRefutation
% See solution above
% 70.37/9.53 # Parsed axioms : 3802
% 70.37/9.53 # Removed by relevancy pruning/SinE : 3301
% 70.37/9.53 # Initial clauses : 1054
% 70.37/9.53 # Removed in clause preprocessing : 27
% 70.37/9.53 # Initial clauses in saturation : 1027
% 70.37/9.53 # Processed clauses : 32819
% 70.37/9.53 # ...of these trivial : 292
% 70.37/9.53 # ...subsumed : 25564
% 70.37/9.53 # ...remaining for further processing : 6963
% 70.37/9.53 # Other redundant clauses eliminated : 2952
% 70.37/9.53 # Clauses deleted for lack of memory : 0
% 70.37/9.53 # Backward-subsumed : 141
% 70.37/9.53 # Backward-rewritten : 73
% 70.37/9.53 # Generated clauses : 490818
% 70.37/9.53 # ...of the previous two non-redundant : 430569
% 70.37/9.53 # ...aggressively subsumed : 0
% 70.37/9.53 # Contextual simplify-reflections : 867
% 70.37/9.53 # Paramodulations : 487781
% 70.37/9.53 # Factorizations : 70
% 70.37/9.53 # NegExts : 0
% 70.37/9.53 # Equation resolutions : 2974
% 70.37/9.53 # Disequality decompositions : 0
% 70.37/9.53 # Total rewrite steps : 186191
% 70.37/9.53 # ...of those cached : 178699
% 70.37/9.53 # Propositional unsat checks : 1
% 70.37/9.53 # Propositional check models : 0
% 70.37/9.53 # Propositional check unsatisfiable : 0
% 70.37/9.53 # Propositional clauses : 0
% 70.37/9.53 # Propositional clauses after purity: 0
% 70.37/9.53 # Propositional unsat core size : 0
% 70.37/9.53 # Propositional preprocessing time : 0.000
% 70.37/9.53 # Propositional encoding time : 0.437
% 70.37/9.53 # Propositional solver time : 0.255
% 70.37/9.53 # Success case prop preproc time : 0.000
% 70.37/9.53 # Success case prop encoding time : 0.000
% 70.37/9.53 # Success case prop solver time : 0.000
% 70.37/9.53 # Current number of processed clauses : 5660
% 70.37/9.53 # Positive orientable unit clauses : 291
% 70.37/9.53 # Positive unorientable unit clauses: 8
% 70.37/9.53 # Negative unit clauses : 253
% 70.37/9.53 # Non-unit-clauses : 5108
% 70.37/9.53 # Current number of unprocessed clauses: 397043
% 70.37/9.53 # ...number of literals in the above : 1758511
% 70.37/9.53 # Current number of archived formulas : 0
% 70.37/9.53 # Current number of archived clauses : 1176
% 70.37/9.53 # Clause-clause subsumption calls (NU) : 5024493
% 70.37/9.53 # Rec. Clause-clause subsumption calls : 1434245
% 70.37/9.53 # Non-unit clause-clause subsumptions : 12734
% 70.37/9.53 # Unit Clause-clause subsumption calls : 231765
% 70.37/9.53 # Rewrite failures with RHS unbound : 0
% 70.37/9.53 # BW rewrite match attempts : 397
% 70.37/9.53 # BW rewrite match successes : 231
% 70.37/9.53 # Condensation attempts : 0
% 70.37/9.53 # Condensation successes : 0
% 70.37/9.53 # Termbank termtop insertions : 10010570
% 70.37/9.53 # Search garbage collected termcells : 48171
% 70.37/9.53
% 70.37/9.53 # -------------------------------------------------
% 70.37/9.53 # User time : 8.424 s
% 70.37/9.53 # System time : 0.331 s
% 70.37/9.53 # Total time : 8.755 s
% 70.37/9.53 # Maximum resident set size: 10992 pages
% 70.37/9.53
% 70.37/9.53 # -------------------------------------------------
% 70.37/9.53 # User time : 8.534 s
% 70.37/9.53 # System time : 0.338 s
% 70.37/9.53 # Total time : 8.872 s
% 70.37/9.53 # Maximum resident set size: 6752 pages
% 70.37/9.53 % E---3.1 exiting
% 70.37/9.53 % E exiting
%------------------------------------------------------------------------------