TSTP Solution File: COM128+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : COM128+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n006.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 01:14:29 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 70 ( 38 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 85 ( 37 ~; 31 |; 8 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 55 ( 5 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(isFreeVar2,axiom,
! [X1,X4,X12,X14,X13] :
( ( X1 = X14
& X4 = vapp(X12,X13) )
=> ( ( ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).
fof('gensym-is-fresh',axiom,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','gensym-is-fresh') ).
fof('fresh-unequal-var-3',conjecture,
! [X11,X12,X9,X24] :
( X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
=> X9 != X24 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','fresh-unequal-var-3') ).
fof(isFreeVar0,axiom,
! [X1,X4,X9,X14] :
( ( X1 = X14
& X4 = vvar(X9) )
=> ( ( X9 = X14
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> X9 = X14 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).
fof(c_0_4,plain,
! [X15,X16,X17,X18,X19] :
( ( ~ visFreeVar(X18,X17)
| visFreeVar(X15,X16)
| X15 != X18
| X16 != vapp(X17,X19) )
& ( ~ visFreeVar(X18,X19)
| visFreeVar(X15,X16)
| X15 != X18
| X16 != vapp(X17,X19) )
& ( ~ visFreeVar(X15,X16)
| visFreeVar(X18,X17)
| visFreeVar(X18,X19)
| X15 != X18
| X16 != vapp(X17,X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).
cnf(c_0_5,plain,
( visFreeVar(X4,X1)
| X1 != vapp(X2,X3)
| X4 != X5
| ~ visFreeVar(X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X15,X16] :
( vgensym(X16) != X15
| ~ visFreeVar(X15,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['gensym-is-fresh'])])]) ).
cnf(c_0_7,plain,
( visFreeVar(X1,X2)
| X2 != vapp(X3,X4)
| ~ visFreeVar(X1,X4) ),
inference(er,[status(thm)],[c_0_5]) ).
fof(c_0_8,negated_conjecture,
~ ! [X11,X12,X9,X24] :
( X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
=> X9 != X24 ),
inference(assume_negation,[status(cth)],['fresh-unequal-var-3']) ).
cnf(c_0_9,plain,
( ~ visFreeVar(X1,X2)
| vgensym(X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[c_0_7]) ).
fof(c_0_11,negated_conjecture,
( esk4_0 = vgensym(vapp(vapp(esk1_0,esk2_0),vvar(esk3_0)))
& esk3_0 = esk4_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
cnf(c_0_12,plain,
( vgensym(vapp(X1,X2)) != X3
| ~ visFreeVar(X3,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
esk4_0 = vgensym(vapp(vapp(esk1_0,esk2_0),vvar(esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
esk3_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X15,X16,X17,X18] :
( ( X17 != X18
| visFreeVar(X15,X16)
| X15 != X18
| X16 != vvar(X17) )
& ( ~ visFreeVar(X15,X16)
| X17 = X18
| X15 != X18
| X16 != vvar(X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])]) ).
cnf(c_0_16,plain,
~ visFreeVar(vgensym(vapp(X1,X2)),X2),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
vgensym(vapp(vapp(esk1_0,esk2_0),vvar(esk3_0))) = esk3_0,
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( visFreeVar(X3,X1)
| X1 != vvar(X2)
| X3 != X4
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
~ visFreeVar(esk3_0,vvar(esk3_0)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( visFreeVar(X1,X2)
| X2 != vvar(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_18])]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_19,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COM128+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 17:32:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41 # Preprocessing time : 0.027 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 22
% 0.24/1.41 # Proof object clause steps : 13
% 0.24/1.41 # Proof object formula steps : 9
% 0.24/1.41 # Proof object conjectures : 8
% 0.24/1.41 # Proof object clause conjectures : 5
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 5
% 0.24/1.41 # Proof object initial formulas used : 4
% 0.24/1.41 # Proof object generating inferences : 5
% 0.24/1.41 # Proof object simplifying inferences : 4
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 65
% 0.24/1.41 # Removed by relevancy pruning/SinE : 41
% 0.24/1.41 # Initial clauses : 209
% 0.24/1.41 # Removed in clause preprocessing : 4
% 0.24/1.41 # Initial clauses in saturation : 205
% 0.24/1.41 # Processed clauses : 235
% 0.24/1.41 # ...of these trivial : 0
% 0.24/1.41 # ...subsumed : 8
% 0.24/1.41 # ...remaining for further processing : 227
% 0.24/1.41 # Other redundant clauses eliminated : 150
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 0
% 0.24/1.41 # Backward-rewritten : 0
% 0.24/1.41 # Generated clauses : 1228
% 0.24/1.41 # ...of the previous two non-trivial : 1091
% 0.24/1.41 # Contextual simplify-reflections : 1
% 0.24/1.41 # Paramodulations : 1069
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 169
% 0.24/1.41 # Current number of processed clauses : 212
% 0.24/1.41 # Positive orientable unit clauses : 3
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 8
% 0.24/1.41 # Non-unit-clauses : 201
% 0.24/1.41 # Current number of unprocessed clauses: 1061
% 0.24/1.41 # ...number of literals in the above : 6138
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 0
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 11822
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 364
% 0.24/1.41 # Non-unit clause-clause subsumptions : 3
% 0.24/1.41 # Unit Clause-clause subsumption calls : 108
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 9
% 0.24/1.41 # BW rewrite match successes : 0
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 38742
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.069 s
% 0.24/1.41 # System time : 0.009 s
% 0.24/1.41 # Total time : 0.078 s
% 0.24/1.41 # Maximum resident set size: 4516 pages
%------------------------------------------------------------------------------