TSTP Solution File: CAT033+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : CAT033+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 : 600s
% DateTime : Thu Jul 14 23:59:50 EDT 2022
% Result : Theorem 0.44s 1.62s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 61 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 24 ~; 20 |; 8 &)
% ( 0 <=>; 10 =>; 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 : 24 ( 1 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/solver/bin/../tmp/theBenchmark.p',t2_yoneda_1) ).
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/sandbox/benchmark/Axioms/SET007/SET007+308.ax',t49_ens_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/sandbox/solver/bin/../tmp/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(fc5_ens_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ~ v1_xboole_0(k17_ens_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+308.ax',fc5_ens_1) ).
fof(c_0_5,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_6,plain,
! [X4,X5,X6] :
( v1_xboole_0(X4)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ m1_subset_1(X6,u1_cat_1(X5))
| ~ r1_tarski(k17_ens_1(X5),X4)
| m2_cat_1(k20_ens_1(X5,X6),X5,k12_ens_1(X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t49_ens_1])])])])])]) ).
fof(c_0_7,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(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
fof(c_0_8,plain,
! [X2] :
( ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| k1_yoneda_1(X2) = k12_ens_1(k17_ens_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_yoneda_1])]) ).
cnf(c_0_9,plain,
( m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X3))
| v1_xboole_0(X3)
| ~ r1_tarski(k17_ens_1(X1),X3)
| ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
m1_subset_1(esk2_0,u1_cat_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,plain,
! [X3] : r1_tarski(X3,X3),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_14,plain,
( k1_yoneda_1(X1) = k12_ens_1(k17_ens_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_15,plain,
! [X2] :
( ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v1_xboole_0(k17_ens_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc5_ens_1])])]) ).
cnf(c_0_16,negated_conjecture,
( m2_cat_1(k20_ens_1(esk1_0,esk2_0),esk1_0,k12_ens_1(X1))
| v1_xboole_0(X1)
| ~ r1_tarski(k17_ens_1(esk1_0),X1) ),
inference(cn,[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])]) ).
cnf(c_0_17,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
k12_ens_1(k17_ens_1(esk1_0)) = k1_yoneda_1(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_11]),c_0_12])]) ).
cnf(c_0_19,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_7]) ).
cnf(c_0_20,plain,
( ~ v1_xboole_0(k17_ens_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
v1_xboole_0(k17_ens_1(esk1_0)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT033+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 19:59:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.62 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.44/1.62 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.44/1.62 # Preprocessing time : 0.160 s
% 0.44/1.62
% 0.44/1.62 # Proof found!
% 0.44/1.62 # SZS status Theorem
% 0.44/1.62 # SZS output start CNFRefutation
% See solution above
% 0.44/1.62 # Proof object total steps : 23
% 0.44/1.62 # Proof object clause steps : 12
% 0.44/1.62 # Proof object formula steps : 11
% 0.44/1.62 # Proof object conjectures : 11
% 0.44/1.62 # Proof object clause conjectures : 8
% 0.44/1.62 # Proof object formula conjectures : 3
% 0.44/1.62 # Proof object initial clauses used : 8
% 0.44/1.62 # Proof object initial formulas used : 5
% 0.44/1.62 # Proof object generating inferences : 4
% 0.44/1.62 # Proof object simplifying inferences : 10
% 0.44/1.62 # Training examples: 0 positive, 0 negative
% 0.44/1.62 # Parsed axioms : 3802
% 0.44/1.62 # Removed by relevancy pruning/SinE : 3603
% 0.44/1.62 # Initial clauses : 428
% 0.44/1.62 # Removed in clause preprocessing : 10
% 0.44/1.62 # Initial clauses in saturation : 418
% 0.44/1.62 # Processed clauses : 1235
% 0.44/1.62 # ...of these trivial : 5
% 0.44/1.62 # ...subsumed : 61
% 0.44/1.62 # ...remaining for further processing : 1169
% 0.44/1.62 # Other redundant clauses eliminated : 6
% 0.44/1.62 # Clauses deleted for lack of memory : 0
% 0.44/1.62 # Backward-subsumed : 0
% 0.44/1.62 # Backward-rewritten : 14
% 0.44/1.62 # Generated clauses : 7693
% 0.44/1.62 # ...of the previous two non-trivial : 7422
% 0.44/1.62 # Contextual simplify-reflections : 37
% 0.44/1.62 # Paramodulations : 7650
% 0.44/1.62 # Factorizations : 2
% 0.44/1.62 # Equation resolutions : 39
% 0.44/1.62 # Current number of processed clauses : 1149
% 0.44/1.62 # Positive orientable unit clauses : 549
% 0.44/1.62 # Positive unorientable unit clauses: 0
% 0.44/1.62 # Negative unit clauses : 54
% 0.44/1.62 # Non-unit-clauses : 546
% 0.44/1.62 # Current number of unprocessed clauses: 6490
% 0.44/1.62 # ...number of literals in the above : 19213
% 0.44/1.62 # Current number of archived formulas : 0
% 0.44/1.62 # Current number of archived clauses : 14
% 0.44/1.62 # Clause-clause subsumption calls (NU) : 98168
% 0.44/1.62 # Rec. Clause-clause subsumption calls : 11048
% 0.44/1.62 # Non-unit clause-clause subsumptions : 81
% 0.44/1.62 # Unit Clause-clause subsumption calls : 5022
% 0.44/1.62 # Rewrite failures with RHS unbound : 0
% 0.44/1.62 # BW rewrite match attempts : 33467
% 0.44/1.62 # BW rewrite match successes : 8
% 0.44/1.62 # Condensation attempts : 0
% 0.44/1.62 # Condensation successes : 0
% 0.44/1.62 # Termbank termtop insertions : 961313
% 0.44/1.62
% 0.44/1.62 # -------------------------------------------------
% 0.44/1.62 # User time : 0.495 s
% 0.44/1.62 # System time : 0.011 s
% 0.44/1.62 # Total time : 0.506 s
% 0.44/1.62 # Maximum resident set size: 25584 pages
% 0.44/23.62 eprover: CPU time limit exceeded, terminating
% 0.44/23.63 eprover: CPU time limit exceeded, terminating
% 0.44/23.63 eprover: CPU time limit exceeded, terminating
% 0.44/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.63 eprover: No such file or directory
% 0.44/23.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.64 eprover: No such file or directory
% 0.44/23.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.64 eprover: No such file or directory
% 0.44/23.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.64 eprover: No such file or directory
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.68 eprover: No such file or directory
% 0.44/23.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.68 eprover: No such file or directory
% 0.44/23.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.68 eprover: No such file or directory
% 0.44/23.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.68 eprover: No such file or directory
% 0.44/23.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.68 eprover: No such file or directory
% 0.44/23.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.68 eprover: No such file or directory
% 0.44/23.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.69 eprover: No such file or directory
% 0.44/23.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.69 eprover: No such file or directory
% 0.44/23.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.69 eprover: No such file or directory
% 0.44/23.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.69 eprover: No such file or directory
%------------------------------------------------------------------------------