TSTP Solution File: COM125+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : COM125+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n012.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 01:14:28 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 70 ( 23 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 85 ( 37 ~; 27 |; 14 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 78 ( 9 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Weak-FreeVar-abs',conjecture,
! [X9,X10,X20,X21,X35,X15] :
( ( ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','T-Weak-FreeVar-abs') ).
fof(isFreeVar1,axiom,
! [X15,X1,X4,X9,X14,X11] :
( ( X1 = X14
& X4 = vabs(X9,X15,X11) )
=> ( ( ( X9 != X14
& visFreeVar(X14,X11) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( X9 != X14
& visFreeVar(X14,X11) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof('T-Weak-FreeVar-abs-1',axiom,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 != X21
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','T-Weak-FreeVar-abs-1') ).
fof('T-Weak-FreeVar-abs-2',axiom,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 = X21
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','T-Weak-FreeVar-abs-2') ).
fof(c_0_4,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(assume_negation,[status(cth)],['T-Weak-FreeVar-abs']) ).
fof(c_0_5,plain,
! [X16,X17,X18,X19,X20,X21] :
( ( X19 = X20
| ~ visFreeVar(X20,X21)
| visFreeVar(X17,X18)
| X17 != X20
| X18 != vabs(X19,X16,X21) )
& ( X19 != X20
| ~ visFreeVar(X17,X18)
| X17 != X20
| X18 != vabs(X19,X16,X21) )
& ( visFreeVar(X20,X21)
| ~ visFreeVar(X17,X18)
| X17 != X20
| X18 != vabs(X19,X16,X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar1])])]) ).
fof(c_0_6,negated_conjecture,
( ~ visFreeVar(esk1_0,vabs(esk4_0,esk5_0,veabs))
& 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)],[inference(fof_simplification,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,plain,
! [X36,X37,X38,X39,X40,X41] :
( X36 = X39
| visFreeVar(X36,vabs(X39,X40,veabs))
| ~ 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)],[inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-1'])])]) ).
cnf(c_0_8,plain,
( X1 != vabs(X2,X3,X4)
| X5 != X6
| ~ visFreeVar(X5,X1)
| X2 != X6 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
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_6]) ).
cnf(c_0_10,plain,
( vtcheck(vbind(X1,X2,X3),vabs(X4,X5,veabs),X6)
| visFreeVar(X1,vabs(X4,X5,veabs))
| X1 = X4
| ~ vtcheck(X3,vabs(X4,X5,veabs),X6) ),
inference(split_conjunct,[status(thm)],[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_6]) ).
cnf(c_0_12,negated_conjecture,
~ visFreeVar(esk1_0,vabs(esk4_0,esk5_0,veabs)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_13,plain,
! [X36,X37,X38,X39,X40,X41] :
( X36 != X39
| visFreeVar(X36,vabs(X39,X40,veabs))
| ~ 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)],[inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-2'])])]) ).
cnf(c_0_14,plain,
( X1 != vabs(X2,X3,X4)
| ~ visFreeVar(X2,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_8])]) ).
cnf(c_0_15,negated_conjecture,
esk4_0 = esk1_0,
inference(sr,[status(thm)],[inference(cn,[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_16,plain,
( vtcheck(vbind(X1,X2,X3),vabs(X4,X5,veabs),X6)
| visFreeVar(X1,vabs(X4,X5,veabs))
| ~ vtcheck(X3,vabs(X4,X5,veabs),X6)
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
~ visFreeVar(X1,vabs(X1,X2,X3)),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
~ vtcheck(vbind(esk1_0,esk2_0,esk3_0),vabs(esk1_0,esk5_0,veabs),esk6_0),
inference(rw,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_19,plain,
( vtcheck(vbind(X1,X2,X3),vabs(X1,X4,veabs),X5)
| ~ vtcheck(X3,vabs(X1,X4,veabs),X5) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_16]),c_0_17]) ).
cnf(c_0_20,negated_conjecture,
vtcheck(esk3_0,vabs(esk1_0,esk5_0,veabs),esk6_0),
inference(rw,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM125+1 : TPTP v8.1.0. Released v6.4.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 18:14:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.019 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 22
% 0.23/1.42 # Proof object clause steps : 13
% 0.23/1.42 # Proof object formula steps : 9
% 0.23/1.42 # Proof object conjectures : 10
% 0.23/1.42 # Proof object clause conjectures : 7
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 6
% 0.23/1.42 # Proof object initial formulas used : 4
% 0.23/1.42 # Proof object generating inferences : 3
% 0.23/1.42 # Proof object simplifying inferences : 11
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 60
% 0.23/1.42 # Removed by relevancy pruning/SinE : 38
% 0.23/1.42 # Initial clauses : 38
% 0.23/1.42 # Removed in clause preprocessing : 4
% 0.23/1.42 # Initial clauses in saturation : 34
% 0.23/1.42 # Processed clauses : 54
% 0.23/1.42 # ...of these trivial : 0
% 0.23/1.42 # ...subsumed : 3
% 0.23/1.42 # ...remaining for further processing : 51
% 0.23/1.42 # Other redundant clauses eliminated : 24
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 0
% 0.23/1.42 # Backward-rewritten : 3
% 0.23/1.42 # Generated clauses : 44
% 0.23/1.42 # ...of the previous two non-trivial : 33
% 0.23/1.42 # Contextual simplify-reflections : 0
% 0.23/1.42 # Paramodulations : 15
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 38
% 0.23/1.42 # Current number of processed clauses : 33
% 0.23/1.42 # Positive orientable unit clauses : 3
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 6
% 0.23/1.42 # Non-unit-clauses : 24
% 0.23/1.42 # Current number of unprocessed clauses: 13
% 0.23/1.42 # ...number of literals in the above : 47
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 3
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 129
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 76
% 0.23/1.42 # Non-unit clause-clause subsumptions : 1
% 0.23/1.42 # Unit Clause-clause subsumption calls : 26
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 1
% 0.23/1.42 # BW rewrite match successes : 1
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 4101
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.020 s
% 0.23/1.42 # System time : 0.002 s
% 0.23/1.42 # Total time : 0.022 s
% 0.23/1.42 # Maximum resident set size: 3140 pages
%------------------------------------------------------------------------------