TSTP Solution File: ALG226+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG226+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 16:50:34 EDT 2022
% Result : Theorem 0.44s 1.63s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 60 ( 14 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 55 ( 18 ~; 11 |; 15 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 1 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t7_closure3,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X1) )
=> ! [X3] :
( ( v2_relat_1(X3)
& m1_pboole(X3,X1) )
=> ( ( k1_closure3(X1,X2) = k1_closure3(X1,X3)
& k7_relat_1(X2,k1_closure3(X1,X2)) = k7_relat_1(X3,k1_closure3(X1,X3)) )
=> r6_pboole(X1,X2,X3) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_closure3) ).
fof(t6_closure3,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X1) )
=> X2 = k1_funct_4(k1_pboole(X1),k7_relat_1(X2,k1_closure3(X1,X2))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_closure3) ).
fof(reflexivity_r6_pboole,axiom,
! [X1,X2,X3] :
( ( m1_pboole(X2,X1)
& m1_pboole(X3,X1) )
=> r6_pboole(X1,X2,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+80.ax',reflexivity_r6_pboole) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X1) )
=> ! [X3] :
( ( v2_relat_1(X3)
& m1_pboole(X3,X1) )
=> ( ( k1_closure3(X1,X2) = k1_closure3(X1,X3)
& k7_relat_1(X2,k1_closure3(X1,X2)) = k7_relat_1(X3,k1_closure3(X1,X3)) )
=> r6_pboole(X1,X2,X3) ) ) ) ),
inference(assume_negation,[status(cth)],[t7_closure3]) ).
fof(c_0_4,negated_conjecture,
( ~ v1_xboole_0(esk1_0)
& v2_relat_1(esk2_0)
& m1_pboole(esk2_0,esk1_0)
& v2_relat_1(esk3_0)
& m1_pboole(esk3_0,esk1_0)
& k1_closure3(esk1_0,esk2_0) = k1_closure3(esk1_0,esk3_0)
& k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)) = k7_relat_1(esk3_0,k1_closure3(esk1_0,esk3_0))
& ~ r6_pboole(esk1_0,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)],[inference(fof_simplification,[status(thm)],[c_0_3])])])])])]) ).
fof(c_0_5,plain,
! [X3,X4] :
( v1_xboole_0(X3)
| ~ v2_relat_1(X4)
| ~ m1_pboole(X4,X3)
| X4 = k1_funct_4(k1_pboole(X3),k7_relat_1(X4,k1_closure3(X3,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)],[t6_closure3])])])])])]) ).
cnf(c_0_6,negated_conjecture,
k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)) = k7_relat_1(esk3_0,k1_closure3(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
k1_closure3(esk1_0,esk2_0) = k1_closure3(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( X1 = k1_funct_4(k1_pboole(X2),k7_relat_1(X1,k1_closure3(X2,X1)))
| v1_xboole_0(X2)
| ~ m1_pboole(X1,X2)
| ~ v2_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
k7_relat_1(esk3_0,k1_closure3(esk1_0,esk2_0)) = k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
m1_pboole(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
v2_relat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
k1_funct_4(k1_pboole(esk1_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))) = esk3_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_7]),c_0_9]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_14,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
v2_relat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_16,plain,
! [X4,X5,X6] :
( ~ m1_pboole(X5,X4)
| ~ m1_pboole(X6,X4)
| r6_pboole(X4,X5,X5) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_r6_pboole])])])]) ).
cnf(c_0_17,negated_conjecture,
~ r6_pboole(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,negated_conjecture,
esk3_0 = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_13]),c_0_14]),c_0_15])]),c_0_12]) ).
cnf(c_0_19,plain,
( r6_pboole(X1,X2,X2)
| ~ m1_pboole(X3,X1)
| ~ m1_pboole(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
~ r6_pboole(esk1_0,esk2_0,esk2_0),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( r6_pboole(esk1_0,X1,X1)
| ~ m1_pboole(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG226+2 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.11 % Command : run_ET %s %d
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jun 8 17:58:07 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.44/1.63 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.44/1.63 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.44/1.63 # Preprocessing time : 0.110 s
% 0.44/1.63
% 0.44/1.63 # Proof found!
% 0.44/1.63 # SZS status Theorem
% 0.44/1.63 # SZS output start CNFRefutation
% See solution above
% 0.44/1.63 # Proof object total steps : 23
% 0.44/1.63 # Proof object clause steps : 16
% 0.44/1.63 # Proof object formula steps : 7
% 0.44/1.63 # Proof object conjectures : 17
% 0.44/1.63 # Proof object clause conjectures : 14
% 0.44/1.63 # Proof object formula conjectures : 3
% 0.44/1.63 # Proof object initial clauses used : 10
% 0.44/1.63 # Proof object initial formulas used : 3
% 0.44/1.63 # Proof object generating inferences : 4
% 0.44/1.63 # Proof object simplifying inferences : 13
% 0.44/1.63 # Training examples: 0 positive, 0 negative
% 0.44/1.63 # Parsed axioms : 4731
% 0.44/1.63 # Removed by relevancy pruning/SinE : 4630
% 0.44/1.63 # Initial clauses : 180
% 0.44/1.63 # Removed in clause preprocessing : 0
% 0.44/1.63 # Initial clauses in saturation : 180
% 0.44/1.63 # Processed clauses : 283
% 0.44/1.63 # ...of these trivial : 12
% 0.44/1.63 # ...subsumed : 24
% 0.44/1.63 # ...remaining for further processing : 247
% 0.44/1.63 # Other redundant clauses eliminated : 5
% 0.44/1.63 # Clauses deleted for lack of memory : 0
% 0.44/1.63 # Backward-subsumed : 1
% 0.44/1.63 # Backward-rewritten : 46
% 0.44/1.63 # Generated clauses : 988
% 0.44/1.63 # ...of the previous two non-trivial : 853
% 0.44/1.63 # Contextual simplify-reflections : 13
% 0.44/1.63 # Paramodulations : 977
% 0.44/1.63 # Factorizations : 0
% 0.44/1.63 # Equation resolutions : 11
% 0.44/1.63 # Current number of processed clauses : 199
% 0.44/1.63 # Positive orientable unit clauses : 42
% 0.44/1.63 # Positive unorientable unit clauses: 0
% 0.44/1.63 # Negative unit clauses : 10
% 0.44/1.63 # Non-unit-clauses : 147
% 0.44/1.63 # Current number of unprocessed clauses: 566
% 0.44/1.63 # ...number of literals in the above : 2486
% 0.44/1.63 # Current number of archived formulas : 0
% 0.44/1.63 # Current number of archived clauses : 47
% 0.44/1.63 # Clause-clause subsumption calls (NU) : 4210
% 0.44/1.63 # Rec. Clause-clause subsumption calls : 1476
% 0.44/1.63 # Non-unit clause-clause subsumptions : 29
% 0.44/1.63 # Unit Clause-clause subsumption calls : 2441
% 0.44/1.63 # Rewrite failures with RHS unbound : 0
% 0.44/1.63 # BW rewrite match attempts : 33
% 0.44/1.63 # BW rewrite match successes : 12
% 0.44/1.63 # Condensation attempts : 0
% 0.44/1.63 # Condensation successes : 0
% 0.44/1.63 # Termbank termtop insertions : 112481
% 0.44/1.63
% 0.44/1.63 # -------------------------------------------------
% 0.44/1.63 # User time : 0.125 s
% 0.44/1.63 # System time : 0.008 s
% 0.44/1.63 # Total time : 0.134 s
% 0.44/1.63 # Maximum resident set size: 13668 pages
% 0.44/23.64 eprover: CPU time limit exceeded, terminating
% 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: CPU time limit exceeded, terminating
% 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
% 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
% 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
% 0.44/23.69 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
% 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
% 0.44/23.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.70 eprover: No such file or directory
% 0.44/23.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.70 eprover: No such file or directory
% 0.44/23.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.70 eprover: No such file or directory
% 0.44/23.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.70 eprover: No such file or directory
% 0.44/23.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.71 eprover: No such file or directory
% 0.44/23.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.71 eprover: No such file or directory
% 0.44/23.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.71 eprover: No such file or directory
% 0.44/23.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.71 eprover: No such file or directory
% 0.44/23.72 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.72 eprover: No such file or directory
% 0.44/23.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.73 eprover: No such file or directory
% 0.44/23.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.73 eprover: No such file or directory
% 0.44/23.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.74 eprover: No such file or directory
%------------------------------------------------------------------------------