TSTP Solution File: SWV378+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV378+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 : Wed Jul 20 18:16:23 EDT 2022
% Result : Theorem 0.26s 1.45s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 75 ( 13 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 74 ( 34 ~; 26 |; 6 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 82 ( 11 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l14_co,conjecture,
! [X1,X2,X3,X4] :
( ~ ok(triple(X1,X2,X3))
=> ~ ok(remove_cpq(triple(X1,X2,X3),X4)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',l14_co) ).
fof(ax41,axiom,
! [X1,X2,X3] :
( ~ ok(triple(X1,X2,X3))
=> X3 = bad ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax41) ).
fof(ax40,axiom,
! [X1,X2] :
( ok(triple(X1,X2,bad))
<=> ~ $true ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax40) ).
fof(ax45,axiom,
! [X1,X2,X3,X4] :
( ( contains_slb(X2,X4)
& strictly_less_than(X4,lookup_slb(X2,X4)) )
=> remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax45) ).
fof(ax43,axiom,
! [X1,X2,X3,X4] :
( ~ contains_slb(X2,X4)
=> remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax43) ).
fof(ax44,axiom,
! [X1,X2,X3,X4] :
( ( contains_slb(X2,X4)
& less_than(lookup_slb(X2,X4),X4) )
=> remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax44) ).
fof(stricly_smaller_definition,axiom,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).
fof(totality,axiom,
! [X1,X2] :
( less_than(X1,X2)
| less_than(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',totality) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ~ ok(triple(X1,X2,X3))
=> ~ ok(remove_cpq(triple(X1,X2,X3),X4)) ),
inference(assume_negation,[status(cth)],[l14_co]) ).
fof(c_0_9,negated_conjecture,
( ~ ok(triple(esk1_0,esk2_0,esk3_0))
& ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8])])])])]) ).
fof(c_0_10,plain,
! [X4,X5,X6] :
( ok(triple(X4,X5,X6))
| X6 = bad ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax41])])]) ).
fof(c_0_11,plain,
! [X3,X4] : ~ ok(triple(X3,X4,bad)),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[ax40])]) ).
fof(c_0_12,plain,
! [X5,X6,X7,X8] :
( ~ contains_slb(X6,X8)
| ~ strictly_less_than(X8,lookup_slb(X6,X8))
| remove_cpq(triple(X5,X6,X7),X8) = triple(remove_pqp(X5,X8),remove_slb(X6,X8),bad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).
cnf(c_0_13,negated_conjecture,
~ ok(triple(esk1_0,esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( X1 = bad
| ok(triple(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X5,X6,X7,X8] :
( contains_slb(X6,X8)
| remove_cpq(triple(X5,X6,X7),X8) = triple(X5,X6,bad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax43])])]) ).
fof(c_0_16,plain,
! [X5,X6,X7,X8] :
( ~ contains_slb(X6,X8)
| ~ less_than(lookup_slb(X6,X8),X8)
| remove_cpq(triple(X5,X6,X7),X8) = triple(remove_pqp(X5,X8),remove_slb(X6,X8),X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax44])]) ).
cnf(c_0_17,plain,
~ ok(triple(X1,X2,bad)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad)
| ~ strictly_less_than(X4,lookup_slb(X2,X4))
| ~ contains_slb(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,negated_conjecture,
esk3_0 = bad,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,plain,
( remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad)
| contains_slb(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_22,plain,
! [X3,X4,X3,X4] :
( ( less_than(X3,X4)
| ~ strictly_less_than(X3,X4) )
& ( ~ less_than(X4,X3)
| ~ strictly_less_than(X3,X4) )
& ( ~ less_than(X3,X4)
| less_than(X4,X3)
| strictly_less_than(X3,X4) ) ),
inference(distribute,[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)],[stricly_smaller_definition])])])])])]) ).
fof(c_0_23,plain,
! [X3,X4] :
( less_than(X3,X4)
| less_than(X4,X3) ),
inference(variable_rename,[status(thm)],[totality]) ).
cnf(c_0_24,plain,
( remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),X3)
| ~ less_than(lookup_slb(X2,X4),X4)
| ~ contains_slb(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( ~ ok(remove_cpq(triple(X1,X2,X3),X4))
| ~ contains_slb(X2,X4)
| ~ strictly_less_than(X4,lookup_slb(X2,X4)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
ok(remove_cpq(triple(esk1_0,esk2_0,bad),esk4_0)),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
contains_slb(esk2_0,esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_21]),c_0_17]) ).
cnf(c_0_28,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1)
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( less_than(X1,X2)
| less_than(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
( ~ ok(remove_cpq(triple(X1,X2,bad),X3))
| ~ contains_slb(X2,X3)
| ~ less_than(lookup_slb(X2,X3),X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
~ strictly_less_than(esk4_0,lookup_slb(esk2_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_32,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1) ),
inference(csr,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
~ less_than(lookup_slb(esk2_0,esk4_0),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_27])]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV378+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n022.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 : Wed Jun 15 18:32:32 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.26/1.45 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.26/1.45 # Preprocessing time : 0.018 s
% 0.26/1.45
% 0.26/1.45 # Proof found!
% 0.26/1.45 # SZS status Theorem
% 0.26/1.45 # SZS output start CNFRefutation
% See solution above
% 0.26/1.45 # Proof object total steps : 35
% 0.26/1.45 # Proof object clause steps : 18
% 0.26/1.45 # Proof object formula steps : 17
% 0.26/1.45 # Proof object conjectures : 11
% 0.26/1.45 # Proof object clause conjectures : 8
% 0.26/1.45 # Proof object formula conjectures : 3
% 0.26/1.45 # Proof object initial clauses used : 9
% 0.26/1.45 # Proof object initial formulas used : 8
% 0.26/1.45 # Proof object generating inferences : 7
% 0.26/1.45 # Proof object simplifying inferences : 8
% 0.26/1.45 # Training examples: 0 positive, 0 negative
% 0.26/1.45 # Parsed axioms : 42
% 0.26/1.45 # Removed by relevancy pruning/SinE : 0
% 0.26/1.45 # Initial clauses : 52
% 0.26/1.45 # Removed in clause preprocessing : 2
% 0.26/1.45 # Initial clauses in saturation : 50
% 0.26/1.45 # Processed clauses : 88
% 0.26/1.45 # ...of these trivial : 1
% 0.26/1.45 # ...subsumed : 7
% 0.26/1.45 # ...remaining for further processing : 80
% 0.26/1.45 # Other redundant clauses eliminated : 3
% 0.26/1.45 # Clauses deleted for lack of memory : 0
% 0.26/1.45 # Backward-subsumed : 0
% 0.26/1.45 # Backward-rewritten : 2
% 0.26/1.45 # Generated clauses : 205
% 0.26/1.45 # ...of the previous two non-trivial : 179
% 0.26/1.45 # Contextual simplify-reflections : 2
% 0.26/1.45 # Paramodulations : 195
% 0.26/1.45 # Factorizations : 8
% 0.26/1.45 # Equation resolutions : 3
% 0.26/1.45 # Current number of processed clauses : 76
% 0.26/1.45 # Positive orientable unit clauses : 17
% 0.26/1.45 # Positive unorientable unit clauses: 0
% 0.26/1.45 # Negative unit clauses : 12
% 0.26/1.45 # Non-unit-clauses : 47
% 0.26/1.45 # Current number of unprocessed clauses: 141
% 0.26/1.45 # ...number of literals in the above : 494
% 0.26/1.45 # Current number of archived formulas : 0
% 0.26/1.45 # Current number of archived clauses : 4
% 0.26/1.45 # Clause-clause subsumption calls (NU) : 217
% 0.26/1.45 # Rec. Clause-clause subsumption calls : 160
% 0.26/1.45 # Non-unit clause-clause subsumptions : 8
% 0.26/1.45 # Unit Clause-clause subsumption calls : 156
% 0.26/1.45 # Rewrite failures with RHS unbound : 0
% 0.26/1.45 # BW rewrite match attempts : 8
% 0.26/1.45 # BW rewrite match successes : 1
% 0.26/1.45 # Condensation attempts : 0
% 0.26/1.45 # Condensation successes : 0
% 0.26/1.45 # Termbank termtop insertions : 6151
% 0.26/1.45
% 0.26/1.45 # -------------------------------------------------
% 0.26/1.45 # User time : 0.021 s
% 0.26/1.45 # System time : 0.004 s
% 0.26/1.45 # Total time : 0.025 s
% 0.26/1.45 # Maximum resident set size: 3272 pages
% 0.26/23.45 eprover: CPU time limit exceeded, terminating
% 0.26/23.46 eprover: CPU time limit exceeded, terminating
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.51 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------