TSTP Solution File: COM141+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : COM141+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 : Fri Jul 15 01:14:33 EDT 2022
% Result : Theorem 0.24s 1.43s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 48 ( 20 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 19 ~; 17 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 60 ( 5 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Weak-abs',conjecture,
! [X9,X10,X20,X21,X35,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','T-Weak-abs') ).
fof('T-Weak-abs-1',axiom,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 != X21
& vlookup(X9,X20) = vnoType
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','T-Weak-abs-1') ).
fof('T-Weak-abs-2',axiom,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 = X21
& vlookup(X9,X20) = vnoType
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','T-Weak-abs-2') ).
fof(c_0_3,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(assume_negation,[status(cth)],['T-Weak-abs']) ).
fof(c_0_4,plain,
! [X36,X37,X38,X39,X40,X41] :
( X36 = X39
| vlookup(X36,X38) != vnoType
| ~ vtcheck(X38,vabs(X39,X40,veabs),X41)
| vtcheck(vbind(X36,X37,X38),vabs(X39,X40,veabs),X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak-abs-1'])]) ).
fof(c_0_5,negated_conjecture,
( vlookup(esk1_0,esk3_0) = vnoType
& vtcheck(esk3_0,vabs(esk4_0,esk5_0,veabs),esk6_0)
& ~ vtcheck(vbind(esk1_0,esk2_0,esk3_0),vabs(esk4_0,esk5_0,veabs),esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( vtcheck(vbind(X1,X2,X3),vabs(X4,X5,veabs),X6)
| X1 = X4
| ~ vtcheck(X3,vabs(X4,X5,veabs),X6)
| vlookup(X1,X3) != vnoType ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
vlookup(esk1_0,esk3_0) = vnoType,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X36,X37,X38,X39,X40,X41] :
( X36 != X39
| vlookup(X36,X38) != vnoType
| ~ vtcheck(X38,vabs(X39,X40,veabs),X41)
| vtcheck(vbind(X36,X37,X38),vabs(X39,X40,veabs),X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak-abs-2'])]) ).
cnf(c_0_9,negated_conjecture,
~ vtcheck(vbind(esk1_0,esk2_0,esk3_0),vabs(esk4_0,esk5_0,veabs),esk6_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( esk1_0 = X1
| vtcheck(vbind(esk1_0,X2,esk3_0),vabs(X1,X3,veabs),X4)
| ~ vtcheck(esk3_0,vabs(X1,X3,veabs),X4) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
vtcheck(esk3_0,vabs(esk4_0,esk5_0,veabs),esk6_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( vtcheck(vbind(X1,X2,X3),vabs(X4,X5,veabs),X6)
| ~ vtcheck(X3,vabs(X4,X5,veabs),X6)
| vlookup(X1,X3) != vnoType
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
esk1_0 = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_14,plain,
( vtcheck(vbind(X1,X2,X3),vabs(X1,X4,veabs),X5)
| vlookup(X1,X3) != vnoType
| ~ vtcheck(X3,vabs(X1,X4,veabs),X5) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_15,negated_conjecture,
vlookup(esk4_0,esk3_0) = vnoType,
inference(rw,[status(thm)],[c_0_7,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
~ vtcheck(vbind(esk4_0,esk2_0,esk3_0),vabs(esk4_0,esk5_0,veabs),esk6_0),
inference(rw,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( vtcheck(vbind(esk4_0,X1,esk3_0),vabs(esk4_0,X2,veabs),X3)
| ~ vtcheck(esk3_0,vabs(esk4_0,X2,veabs),X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COM141+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 17:10:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.24/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.43 # Preprocessing time : 0.018 s
% 0.24/1.43
% 0.24/1.43 # Proof found!
% 0.24/1.43 # SZS status Theorem
% 0.24/1.43 # SZS output start CNFRefutation
% See solution above
% 0.24/1.43 # Proof object total steps : 19
% 0.24/1.43 # Proof object clause steps : 12
% 0.24/1.43 # Proof object formula steps : 7
% 0.24/1.43 # Proof object conjectures : 12
% 0.24/1.43 # Proof object clause conjectures : 9
% 0.24/1.43 # Proof object formula conjectures : 3
% 0.24/1.43 # Proof object initial clauses used : 5
% 0.24/1.43 # Proof object initial formulas used : 3
% 0.24/1.43 # Proof object generating inferences : 4
% 0.24/1.43 # Proof object simplifying inferences : 7
% 0.24/1.43 # Training examples: 0 positive, 0 negative
% 0.24/1.43 # Parsed axioms : 58
% 0.24/1.43 # Removed by relevancy pruning/SinE : 39
% 0.24/1.43 # Initial clauses : 31
% 0.24/1.43 # Removed in clause preprocessing : 6
% 0.24/1.43 # Initial clauses in saturation : 25
% 0.24/1.43 # Processed clauses : 34
% 0.24/1.43 # ...of these trivial : 0
% 0.24/1.43 # ...subsumed : 0
% 0.24/1.43 # ...remaining for further processing : 34
% 0.24/1.43 # Other redundant clauses eliminated : 5
% 0.24/1.43 # Clauses deleted for lack of memory : 0
% 0.24/1.43 # Backward-subsumed : 0
% 0.24/1.43 # Backward-rewritten : 4
% 0.24/1.43 # Generated clauses : 22
% 0.24/1.43 # ...of the previous two non-trivial : 15
% 0.24/1.43 # Contextual simplify-reflections : 0
% 0.24/1.43 # Paramodulations : 7
% 0.24/1.43 # Factorizations : 0
% 0.24/1.43 # Equation resolutions : 16
% 0.24/1.43 # Current number of processed clauses : 26
% 0.24/1.43 # Positive orientable unit clauses : 3
% 0.24/1.43 # Positive unorientable unit clauses: 0
% 0.24/1.43 # Negative unit clauses : 5
% 0.24/1.43 # Non-unit-clauses : 18
% 0.24/1.43 # Current number of unprocessed clauses: 6
% 0.24/1.43 # ...number of literals in the above : 16
% 0.24/1.43 # Current number of archived formulas : 0
% 0.24/1.43 # Current number of archived clauses : 4
% 0.24/1.43 # Clause-clause subsumption calls (NU) : 80
% 0.24/1.43 # Rec. Clause-clause subsumption calls : 66
% 0.24/1.43 # Non-unit clause-clause subsumptions : 0
% 0.24/1.43 # Unit Clause-clause subsumption calls : 2
% 0.24/1.43 # Rewrite failures with RHS unbound : 0
% 0.24/1.43 # BW rewrite match attempts : 1
% 0.24/1.43 # BW rewrite match successes : 1
% 0.24/1.43 # Condensation attempts : 0
% 0.24/1.43 # Condensation successes : 0
% 0.24/1.43 # Termbank termtop insertions : 3097
% 0.24/1.43
% 0.24/1.43 # -------------------------------------------------
% 0.24/1.43 # User time : 0.016 s
% 0.24/1.43 # System time : 0.003 s
% 0.24/1.43 # Total time : 0.019 s
% 0.24/1.43 # Maximum resident set size: 3132 pages
%------------------------------------------------------------------------------