TSTP Solution File: ITP018+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ITP018+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 : Sat Jul 16 22:46:02 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 7 unt; 0 def)
% Number of atoms : 76 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 81 ( 35 ~; 28 |; 2 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X11,X12),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X11,X12)))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X11,X12),ap(c_2Ebinary__ieee_2Efloat__negate(X11,X12),ap(c_2Ebinary__ieee_2Efloat__plus__min(X11,X12),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X11,X12))))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_thm_2Ebinary__ieee_2Eneg__ulp) ).
fof(conj_thm_2Ebinary__ieee_2Efloat__to__real__negate,axiom,
! [X13] :
( ne(X13)
=> ! [X14] :
( ne(X14)
=> ! [X15] :
( mem(X15,ty_2Ebinary__ieee_2Efloat(X13,X14))
=> ap(c_2Ebinary__ieee_2Efloat__to__real(X13,X14),ap(c_2Ebinary__ieee_2Efloat__negate(X13,X14),X15)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X13,X14),X15)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
fof(conj_thm_2Ebinary__ieee_2Eulp,axiom,
! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> ap(c_2Ebinary__ieee_2Eulp(X11,X12),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X11,X12))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X11,X12),ap(c_2Ebinary__ieee_2Efloat__plus__min(X11,X12),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X11,X12)))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_thm_2Ebinary__ieee_2Eulp) ).
fof(ap_tp,axiom,
! [X1,X2,X3] :
( mem(X3,arr(X1,X2))
=> ! [X4] :
( mem(X4,X1)
=> mem(ap(X3,X4),X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).
fof(mem_c_2Ebinary__ieee_2Efloat__plus__min,axiom,
! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> mem(c_2Ebinary__ieee_2Efloat__plus__min(X11,X12),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X11,X12)),ty_2Ebinary__ieee_2Efloat(X11,X12))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mem_c_2Ebinary__ieee_2Efloat__plus__min) ).
fof(mem_c_2Ebool_2Ethe__value,axiom,
! [X13] :
( ne(X13)
=> mem(c_2Ebool_2Ethe__value(X13),ty_2Ebool_2Eitself(X13)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mem_c_2Ebool_2Ethe__value) ).
fof(ne_ty_2Epair_2Eprod,axiom,
! [X9] :
( ne(X9)
=> ! [X10] :
( ne(X10)
=> ne(ty_2Epair_2Eprod(X9,X10)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ne_ty_2Epair_2Eprod) ).
fof(c_0_7,negated_conjecture,
~ ! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X11,X12),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X11,X12)))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X11,X12),ap(c_2Ebinary__ieee_2Efloat__negate(X11,X12),ap(c_2Ebinary__ieee_2Efloat__plus__min(X11,X12),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X11,X12))))) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Ebinary__ieee_2Eneg__ulp]) ).
fof(c_0_8,negated_conjecture,
( ne(esk1_0)
& ne(esk2_0)
& ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(esk1_0,esk2_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk1_0,esk2_0)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(esk1_0,esk2_0),ap(c_2Ebinary__ieee_2Efloat__negate(esk1_0,esk2_0),ap(c_2Ebinary__ieee_2Efloat__plus__min(esk1_0,esk2_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk1_0,esk2_0))))) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
fof(c_0_9,plain,
! [X16,X17,X18] :
( ~ ne(X16)
| ~ ne(X17)
| ~ mem(X18,ty_2Ebinary__ieee_2Efloat(X16,X17))
| ap(c_2Ebinary__ieee_2Efloat__to__real(X16,X17),ap(c_2Ebinary__ieee_2Efloat__negate(X16,X17),X18)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X16,X17),X18)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ebinary__ieee_2Efloat__to__real__negate])])])])]) ).
cnf(c_0_10,negated_conjecture,
ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(esk1_0,esk2_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk1_0,esk2_0)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(esk1_0,esk2_0),ap(c_2Ebinary__ieee_2Efloat__negate(esk1_0,esk2_0),ap(c_2Ebinary__ieee_2Efloat__plus__min(esk1_0,esk2_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk1_0,esk2_0))))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),ap(c_2Ebinary__ieee_2Efloat__negate(X1,X2),X3)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),X3))
| ~ mem(X3,ty_2Ebinary__ieee_2Efloat(X1,X2))
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
ne(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
ne(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X13,X14] :
( ~ ne(X13)
| ~ ne(X14)
| ap(c_2Ebinary__ieee_2Eulp(X13,X14),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X13,X14))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X13,X14),ap(c_2Ebinary__ieee_2Efloat__plus__min(X13,X14),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X13,X14)))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ebinary__ieee_2Eulp])])])])]) ).
fof(c_0_15,plain,
! [X5,X6,X7,X8] :
( ~ mem(X7,arr(X5,X6))
| ~ mem(X8,X5)
| mem(ap(X7,X8),X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])])]) ).
fof(c_0_16,plain,
! [X13,X14] :
( ~ ne(X13)
| ~ ne(X14)
| mem(c_2Ebinary__ieee_2Efloat__plus__min(X13,X14),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X13,X14)),ty_2Ebinary__ieee_2Efloat(X13,X14))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Ebinary__ieee_2Efloat__plus__min])])])])]) ).
cnf(c_0_17,negated_conjecture,
( ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(esk1_0,esk2_0),ap(c_2Ebinary__ieee_2Efloat__plus__min(esk1_0,esk2_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk1_0,esk2_0))))) != ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(esk1_0,esk2_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk1_0,esk2_0))))
| ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(esk1_0,esk2_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk1_0,esk2_0))),ty_2Ebinary__ieee_2Efloat(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_18,plain,
( ap(c_2Ebinary__ieee_2Eulp(X1,X2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X2))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X2))))
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( mem(ap(X1,X2),X3)
| ~ mem(X2,X4)
| ~ mem(X1,arr(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( mem(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X2)),ty_2Ebinary__ieee_2Efloat(X1,X2)))
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(esk1_0,esk2_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk1_0,esk2_0))),ty_2Ebinary__ieee_2Efloat(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_12]),c_0_13])]) ).
cnf(c_0_22,plain,
( mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),X3),ty_2Ebinary__ieee_2Efloat(X1,X2))
| ~ mem(X3,ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X2)))
| ~ ne(X2)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_23,plain,
! [X14] :
( ~ ne(X14)
| mem(c_2Ebool_2Ethe__value(X14),ty_2Ebool_2Eitself(X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Ebool_2Ethe__value])]) ).
cnf(c_0_24,negated_conjecture,
~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk1_0,esk2_0)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(esk1_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_12]),c_0_13])]) ).
cnf(c_0_25,plain,
( mem(c_2Ebool_2Ethe__value(X1),ty_2Ebool_2Eitself(X1))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_26,plain,
! [X11,X12] :
( ~ ne(X11)
| ~ ne(X12)
| ne(ty_2Epair_2Eprod(X11,X12)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ne_ty_2Epair_2Eprod])])])])]) ).
cnf(c_0_27,negated_conjecture,
~ ne(ty_2Epair_2Eprod(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
( ne(ty_2Epair_2Eprod(X1,X2))
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ITP018+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n020.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 2 12:55:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.016 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 30
% 0.22/1.40 # Proof object clause steps : 15
% 0.22/1.40 # Proof object formula steps : 15
% 0.22/1.40 # Proof object conjectures : 11
% 0.22/1.40 # Proof object clause conjectures : 8
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 9
% 0.22/1.40 # Proof object initial formulas used : 7
% 0.22/1.40 # Proof object generating inferences : 6
% 0.22/1.40 # Proof object simplifying inferences : 12
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 29
% 0.22/1.40 # Removed by relevancy pruning/SinE : 12
% 0.22/1.40 # Initial clauses : 20
% 0.22/1.40 # Removed in clause preprocessing : 1
% 0.22/1.40 # Initial clauses in saturation : 19
% 0.22/1.40 # Processed clauses : 33
% 0.22/1.40 # ...of these trivial : 0
% 0.22/1.40 # ...subsumed : 1
% 0.22/1.40 # ...remaining for further processing : 32
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 0
% 0.22/1.40 # Backward-rewritten : 0
% 0.22/1.40 # Generated clauses : 18
% 0.22/1.40 # ...of the previous two non-trivial : 16
% 0.22/1.40 # Contextual simplify-reflections : 1
% 0.22/1.40 # Paramodulations : 17
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 1
% 0.22/1.40 # Current number of processed clauses : 32
% 0.22/1.40 # Positive orientable unit clauses : 4
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 4
% 0.22/1.40 # Non-unit-clauses : 24
% 0.22/1.40 # Current number of unprocessed clauses: 2
% 0.22/1.40 # ...number of literals in the above : 10
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 0
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 160
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 108
% 0.22/1.40 # Non-unit clause-clause subsumptions : 2
% 0.22/1.40 # Unit Clause-clause subsumption calls : 3
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 0
% 0.22/1.40 # BW rewrite match successes : 0
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 2352
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.017 s
% 0.22/1.40 # System time : 0.001 s
% 0.22/1.40 # Total time : 0.018 s
% 0.22/1.40 # Maximum resident set size: 3012 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
%------------------------------------------------------------------------------