%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : COM130+1 : TPTP v8.1.0. Released v6.4.0.
% 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 : Fri Jul 15 01:14:29 EDT 2022
% Result : Theorem 0.27s 1.45s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 82 ( 44 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 96 ( 39 ~; 32 |; 16 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 98 ( 11 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-subst-abs-1',conjecture,
! [X15,X20,X9,X11,X21,X10,X12,X34] :
( ( X9 = X21
& vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vabs(X21,X10,X12),X34) )
=> vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,X12)),X34) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','T-subst-abs-1') ).
fof(subst3,axiom,
! [X11,X9,X1,X4,X6,X19,X21,X15,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,X12) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst3) ).
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/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof('T-Strong',axiom,
! [X9,X10,X20,X11,X15] :
( ( ~ visFreeVar(X9,X11)
& vtcheck(vbind(X9,X10,X20),X11,X15) )
=> vtcheck(X20,X11,X15) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','T-Strong') ).
fof(c_0_4,negated_conjecture,
~ ! [X15,X20,X9,X11,X21,X10,X12,X34] :
( ( X9 = X21
& vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vabs(X21,X10,X12),X34) )
=> vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,X12)),X34) ),
inference(assume_negation,[status(cth)],['T-subst-abs-1']) ).
fof(c_0_5,plain,
! [X22,X23,X24,X25,X26,X27,X28,X29,X30] :
( X24 != X23
| X25 != X22
| X26 != vabs(X28,X29,X30)
| X23 != X28
| X27 != vsubst(X24,X25,X26)
| X27 = vabs(X28,X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst3])]) ).
fof(c_0_6,negated_conjecture,
( esk3_0 = esk5_0
& vtcheck(esk2_0,esk4_0,esk1_0)
& vtcheck(vbind(esk3_0,esk1_0,esk2_0),vabs(esk5_0,esk6_0,esk7_0),esk8_0)
& ~ vtcheck(esk2_0,vsubst(esk3_0,esk4_0,vabs(esk5_0,esk6_0,esk7_0)),esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,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])])]) ).
cnf(c_0_8,plain,
( X1 = vabs(X2,X3,X4)
| X1 != vsubst(X5,X6,X7)
| X8 != X2
| X7 != vabs(X2,X3,X4)
| X6 != X9
| X5 != X8 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,plain,
! [X21,X22,X23,X24,X25] :
( visFreeVar(X21,X24)
| ~ vtcheck(vbind(X21,X22,X23),X24,X25)
| vtcheck(X23,X24,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['T-Strong'])])]) ).
cnf(c_0_10,negated_conjecture,
vtcheck(vbind(esk3_0,esk1_0,esk2_0),vabs(esk5_0,esk6_0,esk7_0),esk8_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
esk3_0 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( X1 != vabs(X2,X3,X4)
| X5 != X6
| ~ visFreeVar(X5,X1)
| X2 != X6 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( X1 = vabs(X2,X3,X4)
| X5 != vabs(X2,X3,X4)
| X1 != vsubst(X2,X6,X5) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_8])])]) ).
cnf(c_0_14,plain,
( vtcheck(X1,X2,X3)
| visFreeVar(X4,X2)
| ~ vtcheck(vbind(X4,X5,X1),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
vtcheck(vbind(esk3_0,esk1_0,esk2_0),vabs(esk3_0,esk6_0,esk7_0),esk8_0),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( X1 != vabs(X2,X3,X4)
| ~ visFreeVar(X2,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_12])]) ).
cnf(c_0_17,negated_conjecture,
~ vtcheck(esk2_0,vsubst(esk3_0,esk4_0,vabs(esk5_0,esk6_0,esk7_0)),esk8_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,plain,
( X1 = vabs(X2,X3,X4)
| X1 != vsubst(X2,X5,vabs(X2,X3,X4)) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( vtcheck(esk2_0,vabs(esk3_0,esk6_0,esk7_0),esk8_0)
| visFreeVar(esk3_0,vabs(esk3_0,esk6_0,esk7_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
~ visFreeVar(X1,vabs(X1,X2,X3)),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
~ vtcheck(esk2_0,vsubst(esk3_0,esk4_0,vabs(esk3_0,esk6_0,esk7_0)),esk8_0),
inference(rw,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_22,plain,
vsubst(X1,X2,vabs(X1,X3,X4)) = vabs(X1,X3,X4),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
vtcheck(esk2_0,vabs(esk3_0,esk6_0,esk7_0),esk8_0),
inference(sr,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : COM130+1 : TPTP v8.1.0. Released v6.4.0.
% 0.13/0.14 % 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 : Thu Jun 16 18:47:47 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.27/1.45 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.45 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.45 # Preprocessing time : 0.019 s
% 0.27/1.45
% 0.27/1.45 # Proof found!
% 0.27/1.45 # SZS status Theorem
% 0.27/1.45 # SZS output start CNFRefutation
% See solution above
% 0.27/1.45 # Proof object total steps : 25
% 0.27/1.45 # Proof object clause steps : 16
% 0.27/1.45 # Proof object formula steps : 9
% 0.27/1.45 # Proof object conjectures : 11
% 0.27/1.45 # Proof object clause conjectures : 8
% 0.27/1.45 # Proof object formula conjectures : 3
% 0.27/1.45 # Proof object initial clauses used : 6
% 0.27/1.45 # Proof object initial formulas used : 4
% 0.27/1.45 # Proof object generating inferences : 4
% 0.27/1.45 # Proof object simplifying inferences : 11
% 0.27/1.45 # Training examples: 0 positive, 0 negative
% 0.27/1.45 # Parsed axioms : 59
% 0.27/1.45 # Removed by relevancy pruning/SinE : 39
% 0.27/1.45 # Initial clauses : 37
% 0.27/1.45 # Removed in clause preprocessing : 4
% 0.27/1.45 # Initial clauses in saturation : 33
% 0.27/1.45 # Processed clauses : 69
% 0.27/1.45 # ...of these trivial : 0
% 0.27/1.45 # ...subsumed : 7
% 0.27/1.45 # ...remaining for further processing : 62
% 0.27/1.45 # Other redundant clauses eliminated : 25
% 0.27/1.45 # Clauses deleted for lack of memory : 0
% 0.27/1.45 # Backward-subsumed : 0
% 0.27/1.45 # Backward-rewritten : 3
% 0.27/1.45 # Generated clauses : 62
% 0.27/1.45 # ...of the previous two non-trivial : 44
% 0.27/1.45 # Contextual simplify-reflections : 4
% 0.27/1.45 # Paramodulations : 23
% 0.27/1.45 # Factorizations : 0
% 0.27/1.45 # Equation resolutions : 47
% 0.27/1.45 # Current number of processed clauses : 44
% 0.27/1.45 # Positive orientable unit clauses : 6
% 0.27/1.45 # Positive unorientable unit clauses: 0
% 0.27/1.45 # Negative unit clauses : 4
% 0.27/1.45 # Non-unit-clauses : 34
% 0.27/1.45 # Current number of unprocessed clauses: 7
% 0.27/1.45 # ...number of literals in the above : 29
% 0.27/1.45 # Current number of archived formulas : 0
% 0.27/1.45 # Current number of archived clauses : 4
% 0.27/1.45 # Clause-clause subsumption calls (NU) : 241
% 0.27/1.45 # Rec. Clause-clause subsumption calls : 174
% 0.27/1.45 # Non-unit clause-clause subsumptions : 8
% 0.27/1.45 # Unit Clause-clause subsumption calls : 5
% 0.27/1.45 # Rewrite failures with RHS unbound : 0
% 0.27/1.45 # BW rewrite match attempts : 8
% 0.27/1.45 # BW rewrite match successes : 3
% 0.27/1.45 # Condensation attempts : 0
% 0.27/1.45 # Condensation successes : 0
% 0.27/1.45 # Termbank termtop insertions : 3939
% 0.27/1.45
% 0.27/1.45 # -------------------------------------------------
% 0.27/1.45 # User time : 0.018 s
% 0.27/1.45 # System time : 0.005 s
% 0.27/1.45 # Total time : 0.023 s
% 0.27/1.45 # Maximum resident set size: 3140 pages
% 0.27/23.44 eprover: CPU time limit exceeded, terminating
% 0.27/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.46 eprover: No such file or directory
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48 eprover: No such file or directory
% 0.27/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48 eprover: No such file or directory
% 0.27/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.49 eprover: No such file or directory
% 0.27/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.49 eprover: No such file or directory
% 0.27/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.50 eprover: No such file or directory
% 0.27/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.51 eprover: No such file or directory
% 0.27/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.51 eprover: No such file or directory
% 0.27/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------