%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU418+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.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 : Tue Jul 19 09:19:56 EDT 2022
% Result : Theorem 4.41s 31.58s
% Output : CNFRefutation 4.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 24 unt; 0 def)
% Number of atoms : 80 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 70 ( 30 ~; 23 |; 4 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 3 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t8_relset_2,conjecture,
! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> r1_tarski(k5_relat_1(k3_xboole_0(X1,X2),X3),k3_xboole_0(k5_relat_1(X1,X3),k5_relat_1(X2,X3))) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t8_relset_2) ).
fof(t48_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t48_xboole_1) ).
fof(t19_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X1,X3) )
=> r1_tarski(X1,k3_xboole_0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t19_xboole_1) ).
fof(t49_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k5_relat_1(X1,X3),k5_relat_1(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t49_relat_1) ).
fof(t3_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X2)
=> v1_relat_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t3_relat_1) ).
fof(t17_xboole_1,axiom,
! [X1,X2] : r1_tarski(k3_xboole_0(X1,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t17_xboole_1) ).
fof(t47_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(X1,k3_xboole_0(X1,X2)) = k4_xboole_0(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t47_xboole_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k3_xboole_0) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> r1_tarski(k5_relat_1(k3_xboole_0(X1,X2),X3),k3_xboole_0(k5_relat_1(X1,X3),k5_relat_1(X2,X3))) ) ) ),
inference(assume_negation,[status(cth)],[t8_relset_2]) ).
fof(c_0_9,negated_conjecture,
( v1_relat_1(esk1_0)
& v1_relat_1(esk2_0)
& v1_relat_1(esk3_0)
& ~ r1_tarski(k5_relat_1(k3_xboole_0(esk1_0,esk2_0),esk3_0),k3_xboole_0(k5_relat_1(esk1_0,esk3_0),k5_relat_1(esk2_0,esk3_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_8])])])])]) ).
fof(c_0_10,plain,
! [X3,X4] : k4_xboole_0(X3,k4_xboole_0(X3,X4)) = k3_xboole_0(X3,X4),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
fof(c_0_11,plain,
! [X4,X5,X6] :
( ~ r1_tarski(X4,X5)
| ~ r1_tarski(X4,X6)
| r1_tarski(X4,k3_xboole_0(X5,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_xboole_1])]) ).
cnf(c_0_12,negated_conjecture,
~ r1_tarski(k5_relat_1(k3_xboole_0(esk1_0,esk2_0),esk3_0),k3_xboole_0(k5_relat_1(esk1_0,esk3_0),k5_relat_1(esk2_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( r1_tarski(X1,k3_xboole_0(X2,X3))
| ~ r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X4,X5,X6] :
( ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X6)
| ~ r1_tarski(X4,X5)
| r1_tarski(k5_relat_1(X4,X6),k5_relat_1(X5,X6)) ),
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)],[t49_relat_1])])])])]) ).
fof(c_0_16,plain,
! [X3,X4] :
( ~ v1_relat_1(X4)
| ~ r1_tarski(X3,X4)
| v1_relat_1(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_relat_1])]) ).
fof(c_0_17,plain,
! [X3,X4] : r1_tarski(k3_xboole_0(X3,X4),X3),
inference(variable_rename,[status(thm)],[t17_xboole_1]) ).
fof(c_0_18,plain,
! [X3,X4] : k4_xboole_0(X3,k3_xboole_0(X3,X4)) = k4_xboole_0(X3,X4),
inference(variable_rename,[status(thm)],[t47_xboole_1]) ).
cnf(c_0_19,negated_conjecture,
~ r1_tarski(k5_relat_1(k4_xboole_0(esk1_0,k4_xboole_0(esk1_0,esk2_0)),esk3_0),k4_xboole_0(k5_relat_1(esk1_0,esk3_0),k4_xboole_0(k5_relat_1(esk1_0,esk3_0),k5_relat_1(esk2_0,esk3_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]) ).
cnf(c_0_20,plain,
( r1_tarski(X1,k4_xboole_0(X2,k4_xboole_0(X2,X3)))
| ~ r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2) ),
inference(rw,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_21,plain,
( r1_tarski(k5_relat_1(X1,X2),k5_relat_1(X3,X2))
| ~ r1_tarski(X1,X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( v1_relat_1(X1)
| ~ r1_tarski(X1,X2)
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
r1_tarski(k3_xboole_0(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
k4_xboole_0(X1,k3_xboole_0(X1,X2)) = k4_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,plain,
! [X3,X4] : k3_xboole_0(X3,X4) = k3_xboole_0(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
cnf(c_0_26,negated_conjecture,
( ~ r1_tarski(k5_relat_1(k4_xboole_0(esk1_0,k4_xboole_0(esk1_0,esk2_0)),esk3_0),k5_relat_1(esk2_0,esk3_0))
| ~ r1_tarski(k5_relat_1(k4_xboole_0(esk1_0,k4_xboole_0(esk1_0,esk2_0)),esk3_0),k5_relat_1(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
( r1_tarski(k5_relat_1(X1,X2),k5_relat_1(X3,X2))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X3) ),
inference(csr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
v1_relat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,negated_conjecture,
v1_relat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_30,plain,
r1_tarski(k4_xboole_0(X1,k4_xboole_0(X1,X2)),X1),
inference(rw,[status(thm)],[c_0_23,c_0_13]) ).
cnf(c_0_31,plain,
k4_xboole_0(X1,k4_xboole_0(X1,k4_xboole_0(X1,X2))) = k4_xboole_0(X1,X2),
inference(rw,[status(thm)],[c_0_24,c_0_13]) ).
cnf(c_0_32,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,negated_conjecture,
( ~ r1_tarski(k5_relat_1(k4_xboole_0(esk1_0,k4_xboole_0(esk1_0,esk2_0)),esk3_0),k5_relat_1(esk1_0,esk3_0))
| ~ r1_tarski(k4_xboole_0(esk1_0,k4_xboole_0(esk1_0,esk2_0)),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29])]) ).
cnf(c_0_34,negated_conjecture,
v1_relat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_35,plain,
r1_tarski(k4_xboole_0(X1,X2),X1),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k4_xboole_0(X2,k4_xboole_0(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_13]),c_0_13]) ).
cnf(c_0_37,negated_conjecture,
~ r1_tarski(k4_xboole_0(esk1_0,k4_xboole_0(esk1_0,esk2_0)),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_34]),c_0_29]),c_0_30])]) ).
cnf(c_0_38,plain,
r1_tarski(k4_xboole_0(X1,k4_xboole_0(X1,X2)),X2),
inference(pm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SEU418+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.15 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 20:34:25 EDT 2022
% 0.14/0.36 % CPUTime :
% 4.38/27.37 eprover: CPU time limit exceeded, terminating
% 4.38/27.39 eprover: CPU time limit exceeded, terminating
% 4.38/27.39 eprover: CPU time limit exceeded, terminating
% 4.38/27.40 eprover: CPU time limit exceeded, terminating
% 4.41/31.58 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 4.41/31.58
% 4.41/31.58 # Failure: Resource limit exceeded (time)
% 4.41/31.58 # OLD status Res
% 4.41/31.58 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 4.41/31.58 # Preprocessing time : 3.249 s
% 4.41/31.58 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 4.41/31.58 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 4.41/31.58 # Preprocessing time : 3.254 s
% 4.41/31.58
% 4.41/31.58 # Proof found!
% 4.41/31.58 # SZS status Theorem
% 4.41/31.58 # SZS output start CNFRefutation
% See solution above
% 4.41/31.58 # Proof object total steps : 40
% 4.41/31.58 # Proof object clause steps : 23
% 4.41/31.58 # Proof object formula steps : 17
% 4.41/31.58 # Proof object conjectures : 12
% 4.41/31.58 # Proof object clause conjectures : 9
% 4.41/31.58 # Proof object formula conjectures : 3
% 4.41/31.58 # Proof object initial clauses used : 11
% 4.41/31.58 # Proof object initial formulas used : 8
% 4.41/31.58 # Proof object generating inferences : 5
% 4.41/31.58 # Proof object simplifying inferences : 17
% 4.41/31.58 # Training examples: 0 positive, 0 negative
% 4.41/31.58 # Parsed axioms : 71086
% 4.41/31.58 # Removed by relevancy pruning/SinE : 70909
% 4.41/31.58 # Initial clauses : 288
% 4.41/31.58 # Removed in clause preprocessing : 5
% 4.41/31.58 # Initial clauses in saturation : 283
% 4.41/31.58 # Processed clauses : 321
% 4.41/31.58 # ...of these trivial : 1
% 4.41/31.58 # ...subsumed : 36
% 4.41/31.58 # ...remaining for further processing : 284
% 4.41/31.58 # Other redundant clauses eliminated : 39
% 4.41/31.58 # Clauses deleted for lack of memory : 0
% 4.41/31.58 # Backward-subsumed : 1
% 4.41/31.58 # Backward-rewritten : 11
% 4.41/31.58 # Generated clauses : 8545
% 4.41/31.58 # ...of the previous two non-trivial : 8081
% 4.41/31.58 # Contextual simplify-reflections : 52
% 4.41/31.58 # Paramodulations : 8487
% 4.41/31.58 # Factorizations : 4
% 4.41/31.58 # Equation resolutions : 54
% 4.41/31.58 # Current number of processed clauses : 269
% 4.41/31.58 # Positive orientable unit clauses : 37
% 4.41/31.58 # Positive unorientable unit clauses: 3
% 4.41/31.58 # Negative unit clauses : 8
% 4.41/31.58 # Non-unit-clauses : 221
% 4.41/31.58 # Current number of unprocessed clauses: 7446
% 4.41/31.58 # ...number of literals in the above : 32346
% 4.41/31.58 # Current number of archived formulas : 0
% 4.41/31.58 # Current number of archived clauses : 13
% 4.41/31.58 # Clause-clause subsumption calls (NU) : 9492
% 4.41/31.58 # Rec. Clause-clause subsumption calls : 1468
% 4.41/31.58 # Non-unit clause-clause subsumptions : 76
% 4.41/31.58 # Unit Clause-clause subsumption calls : 576
% 4.41/31.58 # Rewrite failures with RHS unbound : 0
% 4.41/31.58 # BW rewrite match attempts : 150
% 4.41/31.58 # BW rewrite match successes : 31
% 4.41/31.58 # Condensation attempts : 0
% 4.41/31.58 # Condensation successes : 0
% 4.41/31.58 # Termbank termtop insertions : 2719367
% 4.41/31.58
% 4.41/31.58 # -------------------------------------------------
% 4.41/31.58 # User time : 3.247 s
% 4.41/31.58 # System time : 0.139 s
% 4.41/31.58 # Total time : 3.386 s
% 4.41/31.58 # Maximum resident set size: 176572 pages
% 4.41/50.40 eprover: CPU time limit exceeded, terminating
% 4.41/50.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.46 eprover: No such file or directory
% 4.41/50.46 eprover: CPU time limit exceeded, terminating
% 4.41/50.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.46 eprover: No such file or directory
% 4.41/50.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.47 eprover: No such file or directory
% 4.41/50.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.48 eprover: No such file or directory
% 4.41/50.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.48 eprover: No such file or directory
% 4.41/50.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.48 eprover: No such file or directory
% 4.41/50.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.49 eprover: No such file or directory
% 4.41/50.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.49 eprover: No such file or directory
% 4.41/50.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.49 eprover: No such file or directory
% 4.41/50.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.49 eprover: No such file or directory
% 4.41/50.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.50 eprover: No such file or directory
% 4.41/50.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.50 eprover: No such file or directory
% 4.41/50.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.50 eprover: No such file or directory
% 4.41/50.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.50 eprover: No such file or directory
% 4.41/50.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.51 eprover: No such file or directory
% 4.41/50.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.51 eprover: No such file or directory
% 4.41/50.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.51 eprover: No such file or directory
% 4.41/50.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.51 eprover: No such file or directory
% 4.41/50.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.52 eprover: No such file or directory
% 4.41/50.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.41/50.52 eprover: No such file or directory
%------------------------------------------------------------------------------